12978164679730432

Names of 12978164679730432

• Cardinal: 12978164679730432 can be written as Twelve quadrillion, nine hundred seventy-eight trillion, one hundred sixty-four billion, six hundred seventy-nine million, seven hundred thirty thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 1.2978164679730432 × 10¹⁶

Factors of 12978164679730432

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 3672

Divisors of 12978164679730432

• Number of divisors d(n): 486
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 79 91 98 104 112 128 158 182 196 208 224 256 316 364 392 416 448 553 632 637 728 784 832 896 1027 1106 1264 1274 1456 1568 1664 1792 2054 2212 2528 2548 2912 3136 3328 3571 3871 4108 4424 5056 5096 5824 6241 6272 7142 7189 7742 8216 8848 10112 10192 11648 12482 12544 14284 14378 15484 16432 17696 20224 20384 23296 24964 24997 28568 28756 30968 32864 35392 40768 43687 46423 49928 49994 50323 57136 57512 61936 65728 70784 81133 81536 87374 92846 99856 99988 100646 114272 115024 123872 131456 141568 162266 163072 174748 174979 185692 199712 199976 201292 228544 230048 247744 262912 282109 305809 324532 324961 349496 349958 371384 399424 399952 402584 457088 460096 495488 564218 567931 611618 649064 649922 698992 699916 742768 798848 799904 805168 914176 920192 990976 1128436 1135862 1223236 1298128 1299844 1397984 1399832 1485536 1597696 1599808 1610336 1840384 1974763 2256872 2271724 2274727 2446472 2596256 2599688 2795968 2799664 2971072 3199616 3220672 3667417 3949526 3975517 4513744 4543448 4549454 4892944 5192512 5199376 5591936 5599328 5942144 6399232 6441344 7334834 7899052 7951034 9027488 9086896 9098908 9785888 10385024 10398752 11183872 11198656 11884288 12752041 12882688 13823341 14669668 15798104 15902068 18054976 18173792 18197816 19571776 20770048 20797504 22286611 22397312 25504082 25671919 27646682 29339336 31596208 31804136 36109952 36347584 36395632 39143552 41595008 44573222 44794624 51008164 51343838 55293364 58678672 63192416 63608272 72219904 72695168 72791264 78287104 83190016 89146444 89264287 102016328 102687676 110586728 117357344 126384832 127216544 145390336 145582528 156006277 165776533 178292888 178528574 179703433 204032656 205375352 221173456 234714688 252769664 254433088 289725943 291165056 312012554 331553066 356585776 357057148 359406866 408065312 410750704 442346912 469429376 505539328 508866176 579451886 582330112 624025108 624850009 663106132 713171552 714114296 718813732 816130624 821501408 884693824 938858752 1007411239 1017732352 1092043939 1158903772 1160435731 1248050216 1249700018 1326212264 1426343104 1428228592 1437627464 1632261248 1643002816 1769387648 2014822478 2028081601 2184087878 2317807544 2320871462 2496100432 2499400036 2652424528 2852686208 2856457184 2875254928 3264522496 3286005632 3538775296 4029644956 4056163202 4368175756 4635615088 4641742924 4992200864 4998800072 5304849056 5705372416 5712914368 5750509856 6572011264 7051878673 8059289912 8112326404 8123050117 8736351512 9271230176 9283485848 9984401728 9997600144 10609698112 11425828736 11501019712 13096346107 14103757346 14196571207 16118579824 16224652808 16246100234 17472703024 18542460352 18566971696 19968803456 19995200288 21219396224 22851657472 23002039424 26192692214 28207514692 28393142414 32237159648 32449305616 32492200468 34945406048 37084920704 37133943392 39937606912 39990400576 42438792448 46004078848 49363150711 52385384428 56415029384 56786284828 64474319296 64898611232 64984400936 69890812096 74169841408 74267886784 79585487881 79980801152 91674422749 98726301422 104770768856 112830058768 113572569656 128948638592 129797222464 129968801872 139781624192 148535773568 159170975762 159961602304 183348845498 197452602844 209541537712 225660117536 227145139312 257897277184 259594444928 259937603744 279563248384 297071547136 318341951524 366697690996 394905205688 419083075424 451320235072 454290278624 519188889856 519875207488 557098415167 636683903048 641720959243 733395381992 789810411376 838166150848 902640470144 908580557248 1034611342453 1039750414976 1114196830334 1273367806096 1283441918486 1466790763984 1579620822752 1676332301696 1805280940288 1817161114496 2069222684906 2079500829952 2228393660668 2546735612192 2566883836972 2933581527968 3159241645504 3352664603392 3634322228992 3899688906169 4138445369812 4456787321336 5093471224384 5133767673944 5867163055936 6318483291008 7242279397171 7799377812338 8276890739624 8913574642672 10186942448768 10267535347888 11734326111872 12636966582016 14484558794342 15598755624676 16553781479248 17827149285344 20373884897536 20535070695776 23468652223744 28969117588684 31197511249352 33107562958496 35654298570688 41070141391552 50695955780197 57938235177368 62395022498704 66215125916992 71308597141376 82140282783104 101391911560394 115876470354736 124790044997408 132430251833984 142617194282752 164280565566208 202783823120788 231752940709472 249580089994816 264860503667968 405567646241576 463505881418944 499160179989632 811135292483152 927011762837888 998320359979264 1622270584966304 1854023525675776 3244541169932608 6489082339865216 12978164679730432
• Sum of all divisors σ(n): 32878418280374394
• Sum of proper divisors (its aliquot sum) s(n): 19900253600643962
• 12978164679730432 is an abundant number, because the sum of its proper divisors (19900253600643962) is greater than itself. Its abundance is 6922088920913530

Bases of 12978164679730432

• Binary: 101110000110111001001001101111100100100110010100000000₂
• Hexadecimal: 0x2E1B926F926500
• Base-36: 3JSDIJO124G

Squares and roots of 12978164679730432

• 12978164679730432 squared (12978164679730432²) is 168432758454202506607156186906624
• 12978164679730432 cubed (12978164679730432³) is 2185948076679898286985478598853948175848275181568
• The square root of 12978164679730432 is 113921748.0542255021
• The cube root of 12978164679730432 is 235001.7484688405

Scales and comparisons

• 12,978,164,679,730,432 seconds is equal to 412,665,492 years, 37 weeks, 1 day, 17 hours, 33 minutes, 52 seconds.
• To count from 1 to 12,978,164,679,730,432 would take you about one billion, two hundred thirty-seven million, nine hundred ninety-six thousand, four hundred seventy-eight years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 12978164679730432 cubic inches would be around 19583.5 feet tall.

Recreational maths with 12978164679730432

• 12978164679730432 backwards is 23403797646187921
• 12978164679730432 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12978164679730432's digits is 79
• More coming soon!