137952781682688

Names of 137952781682688

• Cardinal: 137952781682688 can be written as One hundred thirty-seven trillion, nine hundred fifty-two billion, seven hundred eighty-one million, six hundred eighty-two thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.37952781682688 × 10¹⁴

Factors of 137952781682688

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 721

Divisors of 137952781682688

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 709 756 768 864 896 1008 1024 1152 1344 1418 1512 1536 1728 1792 2016 2048 2127 2304 2688 2836 3024 3072 3456 3584 4032 4254 4608 4963 5376 5672 6048 6144 6381 6912 7168 8064 8508 9216 9926 10752 11344 12096 12762 13824 14336 14889 16128 17016 18432 19143 19852 21504 22688 24192 25524 27648 29778 32256 34032 38286 39704 43008 44667 45376 48384 51048 55296 59556 64512 68064 76572 79408 89334 90752 96768 102096 119112 129024 134001 136128 153144 158816 178668 181504 193536 204192 238224 268002 272256 306288 317632 357336 363008 387072 408384 476448 502681 536004 544512 612576 635264 714672 726016 816768 952896 1005362 1072008 1089024 1225152 1270528 1429344 1452032 1508043 1633536 1905792 2010724 2144016 2178048 2450304 2541056 2858688 3016086 3267072 3518767 3811584 4021448 4288032 4356096 4524129 4900608 5082112 5717376 6032172 6534144 7037534 7623168 8042896 8576064 9048258 9801216 10164224 10556301 11434752 12064344 13068288 13572387 14075068 15246336 16085792 17152128 18096516 19602432 21112602 22869504 24128688 27144774 28150136 30492672 31668903 32171584 34304256 36193032 39204864 42225204 45739008 48257376 54289548 56300272 63337806 64343168 68608512 72386064 84450408 91478016 95006709 96514752 108579096 112600544 126675612 128686336 137217024 144772128 168900816 190013418 193029504 217158192 225201088 253351224 257372672 274434048 289544256 337801632 356400829 380026836 386059008 434316384 450402176 506702448 514745344 579088512 675603264 712801658 760053672 772118016 868632768 900804352 1013404896 1029490688 1069202487 1158177024 1351206528 1425603316 1520107344 1544236032 1737265536 1801608704 2026809792 2138404974 2316354048 2494805803 2702413056 2851206632 3040214688 3088472064 3207607461 3474531072 3603217408 4053619584 4276809948 4632708096 4989611606 5404826112 5702413264 6080429376 6415214922 6949062144 7206434816 7484417409 8107239168 8553619896 9265416192 9622822383 9979223212 10809652224 11404826528 12160858752 12830429844 13898124288 14968834818 16214478336 17107239792 19245644766 19958446424 21619304448 22453252227 22809653056 24321717504 25660859688 27796248576 29937669636 32428956672 34214479584 38491289532 39916892848 44906504454 45619306112 48643435008 51321719376 59875339272 64857913344 67359756681 68428959168 76982579064 79833785696 89813008908 91238612224 97286870016 102643438752 119750678544 134719513362 136857918336 153965158128 159667571392 179626017816 182477224448 194573740032 205286877504 239501357088 269439026724 273715836672 307930316256 319335142784 359252035632 364954448896 410573755008 479002714176 538878053448 547431673344 615860632512 638670285568 718504071264 729908897792 821147510016 958005428352 1077756106896 1094863346688 1231721265024 1277340571136 1437008142528 1642295020032 1916010856704 2155512213792 2189726693376 2463442530048 2554681142272 2874016285056 3284590040064 3832021713408 4311024427584 4926885060096 5109362284544 5748032570112 6569180080128 7664043426816 8622048855168 9853770120192 11496065140224 15328086853632 17244097710336 19707540240384 22992130280448 34488195420672 45984260560896 68976390841344 137952781682688
• Sum of all divisors σ(n): 467687289888000
• Sum of proper divisors (its aliquot sum) s(n): 329734508205312
• 137952781682688 is an abundant number, because the sum of its proper divisors (329734508205312) is greater than itself. Its abundance is 191781726522624

Bases of 137952781682688

• Binary: 11111010111011110100010100011000100100000000000₂
• Hexadecimal: 0x7D77A28C4800
• Base-36: 1CWEMSDMO0

Squares and roots of 137952781682688

• 137952781682688 squared (137952781682688²) is 19030969973991377776718905344
• 137952781682688 cubed (137952781682688³) is 2625375246031823063924195759113237715484672
• The square root of 137952781682688 is 11745330.2074776935
• The cube root of 137952781682688 is 51670.5979454363

Scales and comparisons

• 137,952,781,682,688 seconds is equal to 4,386,471 years, 38 weeks, 3 days, 22 hours, 4 minutes, 48 seconds.
• To count from 1 to 137,952,781,682,688 would take you about ten million, nine hundred sixty-six thousand, one hundred seventy-nine 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 137952781682688 cubic inches would be around 4305.9 feet tall.

Recreational maths with 137952781682688

• 137952781682688 backwards is 886286187259731
• The number of decimal digits it has is: 15
• The sum of 137952781682688's digits is 81
• More coming soon!