137807315901216

Names of 137807315901216

• Cardinal: 137807315901216 can be written as One hundred thirty-seven trillion, eight hundred seven billion, three hundred fifteen million, nine hundred one thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.37807315901216 × 10¹⁴

Factors of 137807315901216

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 140999

Divisors of 137807315901216

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 53 54 62 72 78 93 96 104 106 108 117 124 144 156 159 186 208 212 216 234 248 279 288 312 318 351 372 403 416 424 432 468 477 496 558 624 636 689 702 744 806 837 848 864 936 954 992 1116 1209 1248 1272 1378 1404 1431 1488 1612 1643 1674 1696 1872 1908 2067 2232 2418 2544 2756 2808 2809 2862 2976 3224 3286 3348 3627 3744 3816 4134 4464 4836 4929 5088 5512 5616 5618 5724 6201 6448 6572 6696 7254 7632 8268 8427 8928 9672 9858 10881 11024 11232 11236 11448 12402 12896 13144 13392 14508 14787 15264 16536 16854 18603 19344 19716 21359 21762 22048 22472 22896 24804 25281 26288 26784 29016 29574 33072 33708 36517 37206 38688 39432 42718 43524 44361 44944 45792 49608 50562 52576 58032 59148 64077 66144 67416 73034 74412 75843 78864 85436 87048 87079 88722 89888 99216 101124 109551 116064 118296 128154 134832 140897 146068 148824 151686 157728 170872 174096 174158 177444 192231 198432 202248 219102 236592 256308 261237 269664 281794 292136 297648 303372 328653 341744 348192 348316 354888 384462 404496 422691 438204 473184 512616 522474 563588 576693 584272 595296 606744 657306 683488 696632 709776 768924 783711 808992 845382 876408 985959 1025232 1044948 1127176 1132027 1153386 1168544 1213488 1268073 1314612 1393264 1419552 1537848 1567422 1690764 1752816 1831661 1971918 2050464 2089896 2254352 2264054 2306772 2351133 2426976 2536146 2629224 2786528 3075696 3134844 3381528 3396081 3505632 3663322 3804219 3943836 4179792 4367807 4508704 4528108 4613544 4702266 5072292 5258448 5494983 6151392 6269688 6763056 6792162 7326644 7467541 7608438 7887672 8359584 8735614 9056216 9227088 9404532 10144584 10188243 10516896 10989966 12539376 13103421 13526112 13584324 14653288 14935082 15216876 15775344 16484949 17471228 18112432 18454176 18809064 20289168 20376486 21979932 22402623 25078752 26206842 27168648 29306576 29870164 30433752 30564729 31550688 32969898 34942456 36224864 37618128 39310263 40578336 40752972 43959864 44805246 49454847 52413684 54337296 56781491 58613152 59740328 60867504 61129458 65939796 67207869 69884912 75236256 78620526 81505944 87919728 89610492 97078033 98909694 104827368 108674592 113562982 117930789 119480656 121735008 122258916 131879592 134415738 139769824 157241052 163011888 170344473 175839456 179220984 194156066 197819388 201623607 209654736 227125964 231493771 235861578 238961312 244517832 263759184 268831476 291234099 314482104 326023776 340688946 358441968 388312132 395638776 395779673 403247214 419309472 454251928 462987542 471723156 489035664 511033419 527518368 537662952 582468198 628964208 681377892 694481313 716883936 776624264 791277552 791559346 806494428 873702297 908503856 925975084 943446312 978071328 1022066838 1075325904 1164936396 1187339019 1257928416 1362755784 1388962626 1533100257 1553248528 1582555104 1583118692 1612988856 1747404594 1817007712 1851950168 1886892624 2044133676 2083443939 2150651808 2329872792 2374678038 2621106891 2725511568 2777925252 3009419023 3066200514 3106497056 3166237384 3225977712 3494809188 3562017057 3703900336 3773785248 4088267352 4166887878 4659745584 4749356076 5145135749 5242213782 5451023136 5555850504 6018838046 6132401028 6250331817 6332474768 6451955424 6989618376 7124034114 7407800672 8176534704 8333775756 9028257069 9319491168 9498712152 10290271498 10484427564 10686051171 11111701008 12037676092 12264802056 12269169863 12500663634 12664949536 13979236752 14248068228 15435407247 16353069408 16667551512 18056514138 18997424304 20580542996 20968855128 21372102342 22223402016 24075352184 24529604112 24538339726 25001327268 27084771207 27958473504 28496136456 30870814494 33335103024 36113028276 36807509589 37994848608 41161085992 41937710256 42744204684 46306221741 48150704368 49059208224 49076679452 50002654536 54169542414 56992272912 61741628988 66670206048 72226056552 73615019178 81254313621 82322171984 83875420512 85488409368 92612443482 96301408736 98153358904 100005309072 108339084828 110422528767 113984545824 123483257976 138918665223 144452113104 147230038356 159499208219 162508627242 164644343968 170976818736 185224886964 196306717808 200010618144 216678169656 220845057534 246966515952 277837330446 288904226208 294460076712 318998416438 325017254484 331267586301 341953637472 370449773928 392613435616 433356339312 441690115068 478497624657 493933031904 555674660892 588920153424 637996832876 650034508968 662535172602 740899547856 866712678624 883380230136 956995249314 1111349321784 1177840306848 1275993665752 1300069017936 1325070345204 1435492873971 1481799095712 1766760460272 1913990498628 2222698643568 2551987331504 2600138035872 2650140690408 2870985747942 3533520920544 3827980997256 4306478621913 4445397287136 5103974663008 5300281380816 5741971495884 7655961994512 8612957243826 10600562761632 11483942991768 15311923989024 17225914487652 22967885983536 34451828975304 45935771967072 68903657950608 137807315901216
• Sum of all divisors σ(n): 455412274007040
• Sum of proper divisors (its aliquot sum) s(n): 317604958105824
• 137807315901216 is an abundant number, because the sum of its proper divisors (317604958105824) is greater than itself. Its abundance is 179797642204608

Bases of 137807315901216

• Binary: 11111010101010111000100000111001001101100100000₂
• Hexadecimal: 0x7D55C41C9B20
• Base-36: 1CUJT1T3C0

Squares and roots of 137807315901216

• 137807315901216 squared (137807315901216²) is 18990856315897540202270278656
• 137807315901216 cubed (137807315901216³) is 2617078935559495395967341596814380089245696
• The square root of 137807315901216 is 11739136.0798491471
• The cube root of 137807315901216 is 51652.4300205165

Scales and comparisons

• 137,807,315,901,216 seconds is equal to 4,381,846 years, 19 weeks, 5 days, 4 hours, 33 minutes, 36 seconds.
• To count from 1 to 137,807,315,901,216 would take you about ten million, nine hundred fifty-four thousand, six hundred fifteen 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 137807315901216 cubic inches would be around 4304.4 feet tall.

Recreational maths with 137807315901216

• 137807315901216 backwards is 612109513708731
• 137807315901216 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137807315901216's digits is 54
• More coming soon!