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Googol

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555:, with the name "Google" being an accidental misspelling of "googol" by the company's founders, which was picked to signify that the search engine was intended to provide large quantities of information. In 2004, family members of Kasner, who had inherited the right to his book, were considering suing Google for their use of the term "googol"; however, no suit was ever filed. 558:
Since October 2009, Google has been assigning domain names to its servers under the domain "1e100.net", the scientific notation for 1 googol, in order to provide a single domain to identify servers across the Google network.
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0, 0, 1, 0, 0, 4, 4, 0, 1, 0, 1, 4, 3, 4, 10, 0, 4, 10, 9, 0, 4, 12, 13, 16, 0, 16, 10, 4, 16, 10, 5, 0, 1, 4, 25, 28, 10, 28, 16, 0, 1, 4, 31, 12, 10, 36, 27, 16, 11, 0, ... (sequence
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A googol has no special significance in mathematics. However, it is useful when comparing with other very large quantities, such as the number of
250:, and in this role it is sometimes used in teaching mathematics. To put in perspective the size of a googol, the mass of an electron, just under 564: 934: 982: 699:
The relevant passage about the googol and googolplex, attributing both of these names to Kasner's nine-year-old nephew, is available in
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Page, Don N. (1976-01-15). "Particle emission rates from a black hole: Massless particles from an uncharged, nonrotating hole".
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The word is notable for being the subject of the ÂŁ1 million question in a 2001 episode of the British quiz show
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Masters of Mathematics: The Problems They Solved, Why These Are Important, and What You Should Know about Them
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grains. If the much larger observable universe of today were filled with sand, it would still only equal
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The term was coined in 1920 by 9-year-old Milton Sirotta (1911–1981), nephew of American mathematician
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grains. Another 100,000 observable universes filled with sand would be necessary to make a googol.
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Falk, Quentin; Falk, Ben (2005), "A Code and a Cough: Who Wants to Be a Millionaire? (1998–)",
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Television's Strangest Moments: Extraordinary But True Tales from the History of Television
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game. Kasner used it to illustrate the difference between an unimaginably large number and
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pointed out that the total number of elementary particles in the universe is around
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10 or ten to the power of one hundred. In decimal notation, it is written as the
1427: 848: 727: 648: 41: 1457: 1348: 1247: 569: 491:{\displaystyle 10^{100}=2^{(100/\mathrm {log} _{10}2)}\approx 2^{332.19280949}} 306:(roughly 2 light years in diameter), if fully packed with sand, would contain 1500: 1417: 1192: 1172: 1147: 832: 536: 189: 26: 1064: 824: 254:, can be compared to the mass of the visible universe, estimated at between 1452: 37: 705:. Vol. 3. Mineola, New York: Dover Publications. pp. 2007–2010. 1462: 1402: 1098: 242:
in the visible universe or the number of hypothetical possibilities in a
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Widespread sounding of the word occurs through the name of the company
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so that there would be no empty space anywhere, there would be around
270:, or at most one ten-billionth of a googol (0.00000001% of a googol). 192:. He may have been inspired by the contemporary comic strip character 1358: 1353: 1187: 1069: 498:. However, a googol is well within the maximum bounds of an IEEE 754 402: 732:(2nd ed.). New York, NY: Oxford University Press. p. 494. 292:. He also noted the similarity of the second calculation to that of 1292: 600: 344:
is lower-bounded to occur at least one googol years in the future.
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An Introduction to Molecular Evolution and Phylogenetics
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with the help of a confederate in the studio audience.
413:, one would need 333 bits to represent a googol, i.e., 1088: 853:. New York, NY: Oxford University Press. p. 20. 517:) of one googol, starting with mod 1, is as follows: 419: 365: 144: 935:"Have your Google people talk to my 'googol' people" 490: 393: 284:) and that if the whole universe were packed with 196:. Kasner popularized the concept in his 1940 book 173: 979:"Google doppelgänger casts riddle over interwebs" 1498: 760:McPherson, Kristine (2006). Elert, Glenn (ed.). 626:"There Could Be No Google Without Edward Kasner" 394:{\displaystyle 70!\approx 1.1979\times 10^{100}} 1059: 811:(2). American Physical Society (APS): 198–206. 700: 302:. By Archimedes's calculation, the universe of 214:(commonly used in English speaking countries), 502:type without full precision in the mantissa. 18:Large number defined as ten to the 100th power 1132: 956:. Rotterdam: Sense Publishers. p. 221. 646: 1139: 1125: 1036:, Franz Steiner Verlag, pp. 245–246, 976: 792:. Book Club Associates. pp. 220–221. 759: 677:Kasner, Edward; Newman, James R. (1940). 535:This sequence is the same as that of the 1029: 653:. Oxford University Press. p. 120. 347:A googol is considerably smaller than a 846: 725: 636:from the original on November 30, 2016. 1499: 951: 880: 623: 262:. It is a ratio in the order of about 174:{\displaystyle 2^{100}\times 5^{100}.} 1120: 1060: 885:. Stanford University. Archived from 784: 802: 1011:from the original on 9 January 2016 850:Infinity: A Very Short Introduction 796: 359:A googol is approximately equal to 13: 650:The Hidden History of Coined Words 546: 457: 454: 451: 317:The decay time for a supermassive 14: 1533: 1413:Indefinite and fictitious numbers 1146: 1053: 985:from the original on 3 March 2016 941:from the original on 2014-09-04. 837:See in particular equation (27). 697:from the original on 2014-07-03. 683:. Simon and Schuster, New York. 574:cheated his way through the show 1023: 997: 970: 945: 927: 901: 680:Mathematics and the Imagination 500:double-precision floating point 321:of roughly 1 galaxy-mass ( 199:Mathematics and the Imagination 881:Koller, David (January 2004). 874: 840: 778: 753: 719: 701:James R. Newman, ed. (2000) . 670: 640: 630:The Wall Street Journal Online 624:Bialik, Carl (June 14, 2004). 617: 565:Who Wants to Be a Millionaire? 470: 438: 138:). Its prime factorization is 1: 1328:Conway chained arrow notation 1089:Padilla, Tony; Symonds, Ria. 977:Cade Metz (8 February 2010). 911:. Google, Inc. Archived from 883:"Origin of the name "Google"" 611: 354: 543:up until the 17th position. 183: 7: 579: 10: 1538: 1423:Largest known prime number 952:Nowlan, Robert A. (2017). 206:for this quantity include 44:1 followed by one hundred 20: 1476: 1408:Extended real number line 1388: 1341: 1323:Knuth's up-arrow notation 1310: 1301: 1154: 726:Bromham, Lindell (2016). 216:ten thousand sexdecillion 1333:Steinhaus–Moser notation 703:The world of mathematics 21:Not to be confused with 1091:"Googol and Googolplex" 825:10.1103/physrevd.13.198 572:was discovered to have 233: 1376:Fast-growing hierarchy 909:"Google! Beta website" 762:"Mass of the universe" 606:Names of large numbers 492: 395: 175: 1433:Long and short scales 1371:Grzegorczyk hierarchy 847:Stewart, Ian (2017). 493: 411:binary numeral system 396: 176: 1005:"What is 1e100.net?" 915:on February 21, 1999 766:The Physics Factbook 647:Ralph Keyes (2021). 417: 363: 208:ten duotrigintillion 142: 124:ten duotrigintillion 1448:Orders of magnitude 1318:Scientific notation 817:1976PhRvD..13..198P 666:Extract of page 120 332:is on the order of 240:subatomic particles 228:Peletier long scale 1366:Ackermann function 1062:Weisstein, Eric W. 568:, when contestant 507:modular arithmetic 488: 391: 342:expanding universe 171: 1494: 1493: 1384: 1383: 860:978-0-19-875523-4 805:Physical Review D 739:978-0-19-873636-3 712:978-0-486-41151-4 660:978-0-19-046677-0 405:of 70). Using an 336:. Therefore, the 330:Hawking radiation 299:The Sand Reckoner 224:ten sexdecilliard 132:ten sexdecilliard 1529: 1522:1920s neologisms 1308: 1307: 1238:Eddington number 1183:Hundred thousand 1141: 1134: 1127: 1118: 1117: 1113: 1111: 1110: 1101:. Archived from 1075: 1074: 1048: 1046: 1027: 1021: 1020: 1018: 1016: 1001: 995: 994: 992: 990: 981:. The Register. 974: 968: 967: 949: 943: 942: 931: 925: 924: 922: 920: 905: 899: 898: 896: 894: 889:on June 27, 2012 878: 872: 871: 869: 867: 844: 838: 836: 800: 794: 793: 782: 776: 775: 773: 772: 757: 751: 750: 748: 746: 723: 717: 716: 698: 674: 668: 664: 644: 638: 637: 621: 537:residues (mod n) 526: 509:, the series of 497: 495: 494: 489: 487: 486: 474: 473: 466: 465: 460: 448: 429: 428: 400: 398: 397: 392: 390: 389: 335: 327: 313: 309: 291: 282:Eddington number 279: 269: 265: 261: 257: 253: 180: 178: 177: 172: 167: 166: 154: 153: 115: 113: 111: 109: 107: 105: 103: 101: 99: 97: 95: 93: 91: 89: 87: 85: 83: 81: 79: 77: 75: 73: 71: 69: 67: 65: 63: 61: 59: 57: 55: 53: 51: 1537: 1536: 1532: 1531: 1530: 1528: 1527: 1526: 1517:Units of amount 1497: 1496: 1495: 1490: 1472: 1428:List of numbers 1396: 1394: 1392: 1390: 1380: 1337: 1303: 1297: 1268:Graham's number 1258:Skewes's number 1160: 1158: 1156: 1150: 1145: 1108: 1106: 1056: 1051: 1044: 1028: 1024: 1014: 1012: 1003: 1002: 998: 988: 986: 975: 971: 964: 950: 946: 937:. 16 May 2004. 933: 932: 928: 918: 916: 907: 906: 902: 892: 890: 879: 875: 865: 863: 861: 845: 841: 801: 797: 783: 779: 770: 768: 758: 754: 744: 742: 740: 724: 720: 713: 691: 675: 671: 661: 645: 641: 622: 618: 614: 591:Graham's number 582: 549: 547:Cultural impact 522: 482: 478: 461: 450: 449: 444: 437: 433: 424: 420: 418: 415: 414: 385: 381: 364: 361: 360: 357: 333: 322: 311: 307: 289: 277: 267: 263: 259: 255: 251: 236: 186: 162: 158: 149: 145: 143: 140: 139: 120:systematic name 30: 19: 12: 11: 5: 1535: 1525: 1524: 1519: 1514: 1509: 1507:Large integers 1492: 1491: 1489: 1488: 1483: 1477: 1474: 1473: 1471: 1470: 1465: 1460: 1458:Power of three 1455: 1450: 1445: 1440: 1438:Number systems 1435: 1430: 1425: 1420: 1415: 1410: 1405: 1399: 1397: 1393:(alphabetical 1386: 1385: 1382: 1381: 1379: 1378: 1373: 1368: 1363: 1362: 1361: 1356: 1349:Hyperoperation 1345: 1343: 1339: 1338: 1336: 1335: 1330: 1325: 1320: 1314: 1312: 1305: 1299: 1298: 1296: 1295: 1290: 1285: 1280: 1275: 1270: 1265: 1263:Moser's number 1260: 1255: 1250: 1248:Shannon number 1245: 1240: 1235: 1230: 1225: 1220: 1215: 1210: 1205: 1200: 1195: 1190: 1185: 1180: 1175: 1170: 1164: 1162: 1152: 1151: 1144: 1143: 1136: 1129: 1121: 1115: 1114: 1086: 1076: 1055: 1054:External links 1052: 1050: 1049: 1042: 1022: 1007:. Google Inc. 996: 969: 963:978-9463008938 962: 944: 926: 900: 873: 859: 839: 795: 777: 752: 738: 718: 711: 689: 669: 659: 639: 615: 613: 610: 609: 608: 603: 598: 596:Skewes' number 593: 588: 581: 578: 570:Charles Ingram 548: 545: 533: 532: 485: 481: 477: 472: 469: 464: 459: 456: 453: 447: 443: 440: 436: 432: 427: 423: 388: 384: 380: 377: 374: 371: 368: 356: 353: 235: 232: 185: 182: 170: 165: 161: 157: 152: 148: 17: 9: 6: 4: 3: 2: 1534: 1523: 1520: 1518: 1515: 1513: 1510: 1508: 1505: 1504: 1502: 1487: 1484: 1482: 1479: 1478: 1475: 1469: 1466: 1464: 1461: 1459: 1456: 1454: 1451: 1449: 1446: 1444: 1441: 1439: 1436: 1434: 1431: 1429: 1426: 1424: 1421: 1419: 1418:Infinitesimal 1416: 1414: 1411: 1409: 1406: 1404: 1401: 1400: 1398: 1387: 1377: 1374: 1372: 1369: 1367: 1364: 1360: 1357: 1355: 1352: 1351: 1350: 1347: 1346: 1344: 1340: 1334: 1331: 1329: 1326: 1324: 1321: 1319: 1316: 1315: 1313: 1309: 1306: 1300: 1294: 1291: 1289: 1288:Rayo's number 1286: 1284: 1281: 1279: 1276: 1274: 1271: 1269: 1266: 1264: 1261: 1259: 1256: 1254: 1251: 1249: 1246: 1244: 1241: 1239: 1236: 1234: 1231: 1229: 1226: 1224: 1221: 1219: 1216: 1214: 1211: 1209: 1206: 1204: 1201: 1199: 1196: 1194: 1191: 1189: 1186: 1184: 1181: 1179: 1176: 1174: 1171: 1169: 1166: 1165: 1163: 1153: 1149: 1148:Large numbers 1142: 1137: 1135: 1130: 1128: 1123: 1122: 1119: 1105:on 2014-03-29 1104: 1100: 1096: 1092: 1087: 1084: 1080: 1077: 1072: 1071: 1066: 1063: 1058: 1057: 1045: 1043:9781861058744 1039: 1035: 1034: 1026: 1010: 1006: 1000: 984: 980: 973: 965: 959: 955: 948: 940: 936: 930: 914: 910: 904: 888: 884: 877: 862: 856: 852: 851: 843: 834: 830: 826: 822: 818: 814: 810: 806: 799: 791: 787: 781: 767: 763: 756: 741: 735: 731: 730: 722: 714: 708: 704: 696: 692: 690:0-486-41703-4 686: 682: 681: 673: 667: 662: 656: 652: 651: 643: 635: 631: 627: 620: 616: 607: 604: 602: 599: 597: 594: 592: 589: 587: 584: 583: 577: 575: 571: 567: 566: 560: 556: 554: 544: 542: 538: 530: 525: 520: 519: 518: 516: 512: 508: 503: 501: 483: 479: 475: 467: 462: 445: 441: 434: 430: 425: 421: 412: 408: 404: 386: 382: 378: 375: 372: 369: 366: 352: 350: 345: 343: 339: 334:10 years 331: 326: 320: 315: 305: 301: 300: 295: 287: 283: 275: 271: 249: 245: 241: 231: 229: 225: 221: 217: 213: 209: 205: 201: 200: 195: 194:Barney Google 191: 190:Edward Kasner 181: 168: 163: 159: 155: 150: 146: 137: 133: 129: 125: 121: 117: 47: 43: 39: 35: 28: 27:Nikolai Gogol 24: 16: 1453:Power of two 1443:Number names 1242: 1178:Ten thousand 1107:. Retrieved 1103:the original 1094: 1068: 1032: 1025: 1013:. Retrieved 999: 987:. Retrieved 972: 953: 947: 929: 917:. Retrieved 913:the original 903: 891:. Retrieved 887:the original 876: 864:. Retrieved 849: 842: 808: 804: 798: 789: 780: 769:. Retrieved 765: 755: 743:. Retrieved 728: 721: 702: 679: 672: 649: 642: 629: 619: 563: 561: 557: 550: 534: 514: 504: 484:332.19280949 358: 346: 325:solar masses 316: 297: 272: 237: 223: 215: 207: 197: 187: 131: 123: 49: 38:large number 33: 31: 15: 1463:Power of 10 1403:Busy beaver 1208:Quintillion 1203:Quadrillion 1099:Brady Haran 1095:Numberphile 1015:30 December 989:30 December 919:October 12, 786:Sagan, Carl 304:Aristarchus 212:short scale 128:short scale 114:​000, 112:​000, 110:​000, 108:​000, 106:​000, 104:​000, 102:​000, 100:​000, 98:​000, 96:​000, 94:​000, 92:​000, 90:​000, 88:​000, 86:​000, 84:​000, 82:​000, 80:​000, 78:​000, 76:​000, 74:​000, 72:​000, 70:​000, 68:​000, 66:​000, 64:​000, 62:​000, 60:​000, 58:​000, 56:​000, 54:​000, 52:​000, 1501:Categories 1468:Sagan Unit 1302:Expression 1253:Googolplex 1218:Septillion 1213:Sextillion 1159:numerical 1109:2013-04-06 1083:PlanetMath 771:2019-08-24 612:References 586:Googolplex 541:googolplex 355:Properties 349:centillion 338:heat death 319:black hole 294:Archimedes 274:Carl Sagan 260:10 kg 252:10 kg 220:long scale 136:long scale 116:​000 1359:Pentation 1354:Tetration 1342:Operators 1311:Notations 1233:Decillion 1228:Nonillion 1223:Octillion 1155:Examples 1070:MathWorld 866:April 15, 833:0556-2821 745:April 15, 476:≈ 403:factorial 379:× 373:≈ 328:) due to 184:Etymology 156:× 1512:Integers 1391:articles 1389:Related 1293:Infinity 1198:Trillion 1173:Thousand 1065:"Googol" 1009:Archived 983:Archived 939:Archived 788:(1981). 695:Archived 634:Archived 601:Infinity 580:See also 511:residues 407:integral 323:10  286:neutrons 248:infinity 202:. Other 1486:History 1304:methods 1278:SSCG(3) 1273:TREE(3) 1193:Billion 1188:Million 1168:Hundred 893:July 4, 813:Bibcode 527:in the 524:A066298 226:on the 218:on the 210:on the 36:is the 1395:order) 1243:Googol 1079:Googol 1040:  960:  857:  831:  790:Cosmos 736:  709:  687:  657:  553:Google 505:Using 376:1.1979 340:of an 118:. Its 46:zeroes 34:googol 23:Google 1481:Names 1283:BH(3) 1161:order 539:of a 513:(mod 280:(the 244:chess 222:, or 204:names 130:) or 42:digit 1038:ISBN 1017:2015 991:2015 958:ISBN 921:2010 895:2012 868:2022 855:ISBN 829:ISSN 747:2022 734:ISBN 707:ISBN 685:ISBN 655:ISBN 529:OEIS 258:and 234:Size 1081:at 821:doi 442:100 426:100 387:100 296:in 266:to 164:100 151:100 122:is 50:10, 25:or 1503:: 1157:in 1097:. 1093:. 1067:. 827:. 819:. 809:13 807:. 764:. 693:. 632:. 628:. 463:10 422:10 409:, 383:10 367:70 351:. 312:10 308:10 290:10 278:10 268:10 264:10 256:10 230:. 48:: 32:A 1140:e 1133:t 1126:v 1112:. 1085:. 1073:. 1047:. 1019:. 993:. 966:. 923:. 897:. 870:. 835:. 823:: 815:: 774:. 749:. 715:. 663:. 531:) 515:n 480:2 471:) 468:2 458:g 455:o 452:l 446:/ 439:( 435:2 431:= 401:( 370:! 169:. 160:5 147:2 134:( 126:( 29:.

Index

Google
Nikolai Gogol
large number
digit
zeroes
systematic name
short scale
long scale
Edward Kasner
Barney Google
Mathematics and the Imagination
names
short scale
long scale
Peletier long scale
subatomic particles
chess
infinity
Carl Sagan
Eddington number
neutrons
Archimedes
The Sand Reckoner
Aristarchus
black hole
solar masses
Hawking radiation
heat death
expanding universe
centillion

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