137398614491136

Names of 137398614491136

• Cardinal: 137398614491136 can be written as One hundred thirty-seven trillion, three hundred ninety-eight billion, six hundred fourteen million, four hundred ninety-one thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 1.37398614491136 × 10¹⁴

Factors of 137398614491136

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 136

Divisors of 137398614491136

• Number of divisors d(n): 684
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 37 41 48 53 64 74 82 96 106 111 123 128 148 159 164 192 212 222 246 256 296 318 328 384 424 444 492 512 592 636 656 768 848 888 984 1024 1184 1272 1312 1517 1536 1681 1696 1776 1961 1968 2048 2173 2368 2544 2624 2809 3034 3072 3362 3392 3552 3922 3936 4096 4346 4551 4736 5043 5088 5248 5618 5883 6068 6144 6519 6724 6784 7104 7844 7872 8192 8427 8692 9102 9472 10086 10176 10496 11236 11766 12136 12288 13038 13448 13568 14208 15688 15744 16384 16854 17384 18204 18944 20172 20352 20992 22472 23532 24272 24576 26076 26896 27136 28416 31376 31488 32768 33708 34768 36408 37888 40344 40704 41984 44944 47064 48544 49152 52152 53792 54272 56832 62197 62752 62976 65536 67416 69536 72816 75776 80401 80688 81408 83968 89093 89888 94128 97088 98304 103933 104304 107584 108544 113664 115169 124394 125504 125952 131072 134832 139072 145632 151552 160802 161376 162816 167936 178186 179776 186591 188256 194176 196608 207866 208608 215168 217088 227328 230338 241203 248788 251008 251904 262144 267279 269664 278144 291264 303104 311799 321604 322752 325632 335872 345507 356372 359552 373182 376512 388352 393216 415732 417216 430336 434176 454656 460676 482406 497576 502016 503808 534558 539328 556288 582528 606208 623598 643208 645504 651264 671744 691014 712744 719104 746364 753024 776704 786432 831464 834432 860672 868352 909312 921352 964812 995152 1004032 1007616 1069116 1078656 1112576 1165056 1212416 1247196 1286416 1291008 1302528 1343488 1382028 1425488 1438208 1492728 1506048 1553408 1662928 1668864 1721344 1736704 1818624 1842704 1929624 1990304 2008064 2015232 2138232 2157312 2225152 2330112 2424832 2494392 2572832 2582016 2605056 2686976 2764056 2850976 2876416 2985456 3012096 3106816 3296441 3325856 3337728 3442688 3473408 3637248 3685408 3859248 3980608 4016128 4030464 4261253 4276464 4314624 4450304 4660224 4721929 4849664 4988784 5145664 5164032 5210112 5373952 5528112 5701952 5752832 5970912 6024192 6213632 6592882 6651712 6675456 6885376 6946816 7274496 7370816 7718496 7961216 8032256 8060928 8522506 8552928 8629248 8900608 9320448 9443858 9699328 9889323 9977568 10291328 10328064 10420224 10747904 11056224 11403904 11505664 11941824 12048384 12427264 12783759 13185764 13303424 13350912 13770752 13893632 14165787 14548992 14741632 15436992 15922432 16064512 16121856 17045012 17105856 17258496 17801216 18640896 18887716 19778646 19955136 20582656 20656128 20840448 22112448 22807808 23011328 23883648 24096768 24854528 25567518 26371528 26606848 26701824 27541504 28331574 29097984 29483264 30873984 31844864 32129024 32243712 34090024 34211712 34516992 35602432 37281792 37775432 39557292 39910272 41165312 41312256 41680896 44224896 45615616 46022656 47767296 48193536 49709056 51135036 52743056 53213696 53403648 55083008 56663148 58966528 61747968 63689728 64258048 68180048 68423424 69033984 71204864 74563584 75550864 79114584 79820544 82330624 82624512 88449792 91231232 92045312 95534592 96387072 99418112 102270072 105486112 106427392 106807296 110166016 113326296 117933056 123495936 127379456 128516096 136360096 136846848 138067968 142409728 149127168 151101728 158229168 159641088 164661248 165249024 174711373 176899584 182462464 184090624 191069184 192774144 198836224 204540144 210972224 212854784 213614592 220332032 226652592 235866112 246991872 254758912 257032192 272720192 273693696 276135936 284819456 298254336 302203456 316458336 319282176 329322496 330498048 349422746 353799168 364924928 368181248 382138368 385548288 397672448 409080288 421944448 425709568 427229184 440664064 453305184 471732224 493983744 509517824 514064384 524134119 545440384 547387392 552271872 569638912 596508672 604406912 632916672 638564352 658644992 660996096 698845492 707598336 729849856 736362496 764276736 771096576 818160576 843888896 851419136 854458368 906610368 943464448 987967488 1019035648 1048268238 1090880768 1094774784 1104543744 1193017344 1208813824 1265833344 1277128704 1317289984 1321992192 1397690984 1415196672 1459699712 1528553472 1542193152 1636321152 1687777792 1702838272 1708916736 1813220736 1886928896 1975934976 2038071296 2096536476 2181761536 2189549568 2209087488 2417627648 2531666688 2554257408 2634579968 2795381968 2830393344 2919399424 3057106944 3272642304 3375555584 3405676544 3626441472 3773857792 3951869952 4076142592 4193072952 4363523072 4379099136 4835255296 5063333376 5108514816 5269159936 5590763936 5660786688 5838798848 6114213888 6545284608 6751111168 6811353088 7252882944 7547715584 7903739904 8152285184 8386145904 8727046144 8758198272 9670510592 10126666752 10217029632 10538319872 11181527872 11321573376 11677597696 12228427776 13090569216 13502222336 13622706176 14505765888 15095431168 15807479808 16304570368 16772291808 17454092288 17516396544 19341021184 20253333504 20434059264 21076639744 22363055744 22643146752 23355195392 24456855552 26181138432 27004444672 27245412352 29011531776 30190862336 31614959616 33544583616 34908184576 35032793088 38682042368 40506667008 40868118528 44726111488 45286293504 48913711104 52362276864 54008889344 58023063552 63229919232 67089167232 69816369152 70065586176 77364084736 81013334016 81736237056 89452222976 90572587008 104724553728 108017778688 116046127104 134178334464 139632738304 154728169472 162026668032 178904445952 209449107456 216035557376 232092254208 268356668928 279265476608 309456338944 324053336064 357808891904 418898214912 432071114752 464184508416 536713337856 558530953216 618912677888 648106672128 715617783808 837796429824 864142229504 928369016832 1073426675712 1117061906432 1237825355776 1296213344256 1431235567616 1675592859648 1856738033664 2146853351424 2592426688512 2862471135232 3351185719296 3713476067328 4293706702848 5724942270464 8587413405696 11449884540928 17174826811392 22899769081856 34349653622784 45799538163712 68699307245568 137398614491136
• Sum of all divisors σ(n): 393114716919176
• Sum of proper divisors (its aliquot sum) s(n): 255716102428040
• 137398614491136 is an abundant number, because the sum of its proper divisors (255716102428040) is greater than itself. Its abundance is 118317487936904

Bases of 137398614491136

• Binary: 11111001111011010011011100111000000000000000000₂
• Hexadecimal: 0x7CF69B9C0000
• Base-36: 1CPC1VJH1C

Squares and roots of 137398614491136

• 137398614491136 squared (137398614491136²) is 18878379264083807612222570496
• 137398614491136 cubed (137398614491136³) is 2593863154723306824007095581104236927123456
• The square root of 137398614491136 is 11721715.5097338887
• The cube root of 137398614491136 is 51601.3168057201

Scales and comparisons

• 137,398,614,491,136 seconds is equal to 4,368,850 years, 48 weeks, 5 days, 19 hours, 5 minutes, 36 seconds.
• To count from 1 to 137,398,614,491,136 would take you about ten million, nine hundred twenty-two thousand, one hundred twenty-seven 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 137398614491136 cubic inches would be around 4300.1 feet tall.

Recreational maths with 137398614491136

• 137398614491136 backwards is 631194416893731
• The number of decimal digits it has is: 15
• The sum of 137398614491136's digits is 66
• More coming soon!