137739128845824

Names of 137739128845824

• Cardinal: 137739128845824 can be written as One hundred thirty-seven trillion, seven hundred thirty-nine billion, one hundred twenty-eight million, eight hundred forty-five thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.37739128845824 × 10¹⁴

Factors of 137739128845824

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 11057

Divisors of 137739128845824

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 44 48 54 62 64 66 72 88 93 96 99 108 124 128 132 144 176 186 192 198 216 248 256 264 279 288 297 341 352 372 384 396 432 496 512 528 558 576 594 682 704 744 768 792 837 864 992 1023 1056 1116 1152 1188 1364 1408 1488 1536 1584 1674 1728 1984 2046 2112 2232 2304 2376 2728 2816 2976 3069 3168 3348 3456 3968 4092 4224 4463 4464 4608 4752 5456 5632 5952 6138 6336 6547 6696 6912 7936 8184 8448 8926 8928 9207 9504 10912 11904 12276 12672 13094 13389 13392 13824 15872 16368 16896 17852 17856 18414 19008 19641 21824 23808 24552 25344 26188 26778 26784 32736 35704 35712 36828 38016 39282 40167 43648 47616 49093 49104 50688 52376 53556 53568 58923 65472 71408 71424 72017 73656 76032 78564 80334 87296 98186 98208 104752 107112 107136 117846 120501 130944 138353 142816 142848 144034 147279 147312 152064 157128 160668 174592 176769 196372 196416 202957 209504 214224 214272 216051 235692 241002 261888 276706 285632 288068 294558 294624 314256 321336 353538 392744 392832 405914 415059 419008 428448 428544 432102 441837 471384 482004 523776 553412 571264 576136 589116 589248 608871 628512 642672 648153 707076 785488 785664 811828 830118 838016 856896 864204 883674 942768 964008 1106824 1142528 1152272 1178232 1178496 1217742 1245177 1257024 1285344 1296306 1325511 1414152 1521883 1570976 1571328 1623656 1660236 1676032 1713792 1728408 1767348 1826613 1885536 1928016 1944459 2213648 2232527 2285056 2304544 2356464 2356992 2435484 2490354 2514048 2570688 2592612 2651022 2828304 3043766 3141952 3247312 3320472 3352064 3427584 3456816 3534696 3653226 3735531 3771072 3856032 3888918 4427296 4465054 4565649 4609088 4712928 4713984 4870968 4980708 5028096 5141376 5185224 5302044 5479839 5656608 6087532 6283904 6494624 6640944 6697581 6855168 6913632 7069392 7306452 7471062 7542144 7712064 7777836 8854592 8930108 9131298 9218176 9425856 9741936 9961416 10056192 10282752 10370448 10604088 10959678 11313216 12175064 12567808 12989248 13281888 13395162 13696947 13827264 14138784 14612904 14942124 15084288 15424128 15555672 17709184 17860216 18262596 18436352 18851712 19483872 19922832 20092743 20565504 20740896 21208176 21919356 22626432 24350128 25135616 25978496 26563776 26790324 27393894 27654528 28277568 29219261 29225808 29884248 30168576 30848256 31111344 35418368 35720432 36525192 36872704 37703424 38967744 39845664 40185486 41090841 41481792 42416352 43838712 45252864 48700256 51956992 53127552 53580648 54787788 55309056 56555136 58438522 58451616 59768496 60278229 61696512 62222688 70836736 71440864 73050384 75406848 77935488 79691328 80370972 82181682 82963584 84832704 87657783 87677424 90505728 97400512 103913984 106255104 107161296 109575576 110618112 113110272 116877044 116903232 119536992 120556458 124445376 142881728 146100768 155870976 159382656 160741944 164363364 165927168 169665408 175315566 175354848 194801024 212510208 214322592 219151152 226220544 233754088 233806464 239073984 241112916 248890752 262973349 285763456 292201536 311741952 318765312 321411871 321483888 328726728 331854336 339330816 350631132 350709696 389602048 428645184 438302304 467508176 467612928 478147968 482225832 497781504 525946698 571526912 584403072 637530624 642823742 642967776 657453456 678661632 701262264 701419392 779204096 788920047 857290368 876604608 905797091 935016352 935225856 956295936 964235613 964451664 995563008 1051893396 1143053824 1168806144 1285647484 1285935552 1314906912 1402524528 1402838784 1577840094 1714580736 1753209216 1811594182 1870032704 1912591872 1928471226 1928903328 2103786792 2337612288 2571294968 2571871104 2629813824 2717391273 2805049056 2805677568 2892706839 3155680188 3429161472 3506418432 3623188364 3740065408 3856942452 3857806656 4207573584 5142589936 5143742208 5259627648 5434782546 5610098112 5785413678 6311360376 7012836864 7246376728 7480130816 7713884904 7715613312 8152173819 8415147168 8678120517 9963768001 10285179872 10287484416 10519255296 10869565092 11220196224 11570827356 12622720752 14492753456 14960261632 15427769808 15431226624 16304347638 16830294336 17356241034 19927536002 20570359744 21038510592 21739130184 22440392448 23141654712 24456521457 25245441504 28985506912 29891304003 30855539616 30862453248 32608695276 33660588672 34712482068 39855072004 41140719488 43478260368 44880784896 46283309424 48913042914 50490883008 57971013824 59782608006 61711079232 65217390552 67321177344 69424964136 79710144008 82281438976 86956520736 89673912009 92566618848 97826085828 100981766016 115942027648 119565216012 123422158464 130434781104 134642354688 138849928272 159420288016 164562877952 173913041472 179347824018 185133237696 195652171656 201963532032 231884055296 239130432024 246844316928 260869562208 269021736027 277699856544 318840576032 347826082944 358695648036 370266475392 391304343312 403927064064 463768110592 478260864048 493688633856 521739124416 538043472054 555399713088 637681152064 695652165888 717391296072 740532950784 782608686624 956521728096 1043478248832 1076086944108 1110799426176 1275362304128 1391304331776 1434782592144 1481065901568 1565217373248 1913043456192 2086956497664 2152173888216 2221598852352 2550724608256 2869565184288 3130434746496 3826086912384 4173912995328 4304347776432 4443197704704 5101449216512 5739130368576 6260869492992 7652173824768 8608695552864 11478260737152 12521738985984 15304347649536 17217391105728 22956521474304 34434782211456 45913042948608 68869564422912 137739128845824
• Sum of all divisors σ(n): 459303448412160
• Sum of proper divisors (its aliquot sum) s(n): 321564319566336
• 137739128845824 is an abundant number, because the sum of its proper divisors (321564319566336) is greater than itself. Its abundance is 183825190720512

Bases of 137739128845824

• Binary: 11111010100010111100011110110001011011000000000₂
• Hexadecimal: 0x7D45E3D8B600
• Base-36: 1CTOHCZUO0

Squares and roots of 137739128845824

• 137739128845824 squared (137739128845824²) is 18972067615206505118362238976
• 137739128845824 cubed (137739128845824³) is 2613196065722613673495178569915475347636224
• The square root of 137739128845824 is 11736231.4584292347
• The cube root of 137739128845824 is 51643.9094081351

Scales and comparisons

• 137,739,128,845,824 seconds is equal to 4,379,678 years, 12 weeks, 4 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 137,739,128,845,824 would take you about ten million, nine hundred forty-nine thousand, one hundred ninety-five 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 137739128845824 cubic inches would be around 4303.7 feet tall.

Recreational maths with 137739128845824

• 137739128845824 backwards is 428548821937731
• 137739128845824 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137739128845824's digits is 72
• More coming soon!