137937018795408

Names of 137937018795408

• Cardinal: 137937018795408 can be written as One hundred thirty-seven trillion, nine hundred thirty-seven billion, eighteen million, seven hundred ninety-five thousand, four hundred eight.

Scientific notation

• Scientific notation: 1.37937018795408 × 10¹⁴

Factors of 137937018795408

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 409

Divisors of 137937018795408

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 397 432 486 504 567 648 729 756 794 972 1008 1134 1191 1296 1458 1512 1588 1701 1944 2187 2268 2382 2779 2916 3024 3176 3402 3573 3888 4374 4536 4764 5103 5558 5832 6352 6561 6804 7146 8337 8748 9072 9528 10206 10719 11116 11664 13122 13608 14292 15309 16674 17496 19056 19683 20412 21438 22232 25011 26244 27216 28584 30618 32157 33348 34992 39366 40824 42876 44464 45927 50022 52488 57168 61236 64314 66696 75033 78732 81648 85752 91854 96471 100044 104976 122472 128628 133392 137781 150066 157464 157609 171504 183708 192942 200088 225099 244944 257256 275562 289413 300132 314928 315218 367416 385884 400176 450198 472827 514512 551124 578826 600264 630436 675297 734832 771768 868239 900396 945654 1102248 1103263 1157652 1200528 1260872 1350594 1418481 1543536 1736478 1800792 1891308 2025891 2204496 2206526 2315304 2521744 2604717 2701188 2836962 3309789 3472956 3601584 3782616 4051782 4255443 4413052 4630608 5209434 5402376 5673924 6077673 6619578 6945912 7565232 7814151 8103564 8510886 8826104 9929367 10418868 10804752 11347848 12155346 12766329 13239156 13891824 15628302 16207128 17021772 17652208 18233019 19858734 20837736 22695696 24310692 25532658 26478312 29788101 31256604 32414256 34043544 36466038 38298987 39717468 41675472 48621384 51065316 52956624 54699057 59576202 62513208 62570773 68087088 72932076 76597974 79434936 89364303 97242768 102130632 109398114 114896961 119152404 125026416 125141546 145864152 153195948 158869872 178728606 187712319 204261264 218796228 229793922 238304808 250283092 268092909 291728304 306391896 344690883 357457212 375424638 437592456 437995411 459587844 476609616 500566184 536185818 563136957 612783792 689381766 714914424 750849276 804278727 875184912 875990822 919175688 1001132368 1034072649 1072371636 1126273914 1313986233 1378763532 1429828848 1501698552 1608557454 1689410871 1751981644 1838351376 2068145298 2144743272 2252547828 2412836181 2627972466 2757527064 3003397104 3102217947 3217114908 3378821742 3503963288 3941958699 4136290596 4289486544 4505095656 4825672362 5068232613 5255944932 5515054128 6204435894 6434229816 6757643484 7007926576 7238508543 7883917398 8272581192 9010191312 9651344724 10136465226 10511889864 11825876097 12408871788 12868459632 13515286968 14477017086 15204697839 15767834796 16545162384 19302689448 20272930452 21023779728 21715525629 23651752194 24817743576 27030573936 28954034172 30409395678 31535669592 35477628291 38605378896 40545860904 43431051258 45614093517 47303504388 49635487152 57908068344 60818791356 63071339184 70955256582 81091721808 86862102516 91228187034 94607008776 106432884873 115816136688 121637582712 136842280551 141910513164 173724205032 182456374068 189214017552 212865769746 243275165424 273684561102 283821026328 319298654619 347448410064 364912748136 410526841653 425731539492 547369122204 567642052656 638597309238 729825496272 821053683306 851463078984 957895963857 1094738244408 1231580524959 1277194618476 1642107366612 1702926157968 1915791927714 2189476488816 2463161049918 2554389236952 2873687891571 3284214733224 3831583855428 4926322099836 5108778473904 5747375783142 6568429466448 7663167710856 8621063674713 9852644199672 11494751566284 15326335421712 17242127349426 19705288399344 22989503132568 34484254698852 45979006265136 68968509397704 137937018795408
• Sum of all divisors σ(n): 459297116178560
• Sum of proper divisors (its aliquot sum) s(n): 321360097383152
• 137937018795408 is an abundant number, because the sum of its proper divisors (321360097383152) is greater than itself. Its abundance is 183423078587744

Bases of 137937018795408

• Binary: 11111010111001111110111000000011011010110010000₂
• Hexadecimal: 0x7D73F701B590
• Base-36: 1CW7E3K900

Squares and roots of 137937018795408

• 137937018795408 squared (137937018795408²) is 19026621154164739859361886464
• 137937018795408 cubed (137937018795408³) is 2624475399755129175937985403754043740557312
• The square root of 137937018795408 is 11744659.1604613201
• The cube root of 137937018795408 is 51668.6298593885

Scales and comparisons

• 137,937,018,795,408 seconds is equal to 4,385,970 years, 27 weeks, 4 days, 2 hours, 16 minutes, 48 seconds.
• To count from 1 to 137,937,018,795,408 would take you about ten million, nine hundred sixty-four thousand, nine hundred twenty-six 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 137937018795408 cubic inches would be around 4305.7 feet tall.

Recreational maths with 137937018795408

• 137937018795408 backwards is 804597810739731
• 137937018795408 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137937018795408's digits is 72
• More coming soon!