137456636935470400

Names of 137456636935470400

• Cardinal: 137456636935470400 can be written as One hundred thirty-seven quadrillion, four hundred fifty-six trillion, six hundred thirty-six billion, nine hundred thirty-five million, four hundred seventy thousand, four hundred.

Scientific notation

• Scientific notation: 1.374566369354704 × 10¹⁷

Factors of 137456636935470400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 494

Divisors of 137456636935470400

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 29 32 37 40 50 58 64 74 80 100 116 145 148 160 185 200 232 290 296 320 370 400 421 464 580 592 725 740 800 841 842 925 928 1073 1160 1184 1369 1450 1480 1600 1682 1684 1850 1856 2105 2146 2320 2368 2738 2900 2960 3364 3368 3700 4205 4210 4292 4640 5365 5476 5800 5920 6728 6736 6845 7400 8410 8420 8584 9280 10525 10730 10952 11600 11840 12209 13456 13472 13690 14800 15577 16820 16840 17168 21025 21050 21460 21904 23200 24418 26825 26912 26944 27380 29600 31117 31154 33640 33680 34225 34336 39701 42050 42100 42920 43808 46400 48836 53650 53824 54760 59200 61045 62234 62308 67280 67360 68450 68672 77885 79402 84100 84200 85840 87616 97672 107300 109520 122090 124468 124616 134560 134720 136900 155585 155770 158804 168200 168400 171680 177241 195344 198505 214600 219040 244180 248936 249232 269120 273800 305225 311170 311540 317608 336400 336800 343360 354061 354482 389425 390688 397010 429200 438080 451733 488360 497872 498464 547600 576349 610450 622340 623080 635216 672800 673600 708122 708964 777925 778850 781376 794020 858400 886205 903466 976720 992525 995744 996928 1095200 1151329 1152698 1220900 1244680 1246160 1270432 1345600 1416244 1417928 1555850 1557700 1588040 1716800 1770305 1772410 1806932 1953440 1985050 1991488 2190400 2258665 2302658 2305396 2441800 2489360 2492320 2540864 2832488 2835856 2881745 3111700 3115400 3176080 3540610 3544820 3613864 3906880 3970100 4431025 4517330 4605316 4610792 4883600 4978720 4984640 5139989 5664976 5671712 5756645 5763490 6223400 6230800 6352160 6557917 7081220 7089640 7227728 7940200 8851525 8862050 9034660 9210632 9221584 9767200 9957440 10279978 11293325 11329952 11343424 11513290 11526980 12446800 12461600 12704320 13100257 13115834 14162440 14179280 14408725 14455456 15880400 16714121 17703050 17724100 18069320 18421264 18443168 19534400 20559956 22586650 22659904 23026580 23053960 24893600 24923200 25699945 26200514 26231668 28324880 28358560 28783225 28817450 28910912 31760800 32789585 33428242 35406100 35448200 36138640 36842528 36886336 41119912 45173300 46053160 46107920 49787200 51399890 52401028 52463336 56649760 56717120 57566450 57634900 63521600 65501285 65579170 66856484 70812200 70896400 72277280 73685056 74618461 82239824 83570605 90346600 92106320 92215840 102799780 104802056 104926672 113299520 115132900 115269800 128499725 131002570 131158340 133712968 141624400 141792800 144554560 149059681 149236922 163947925 164479648 167141210 180693200 184212640 184431680 190179593 205599560 209604112 209853344 230265800 230539600 242642929 256999450 262005140 262316680 267425936 283248800 283585600 298119362 298473844 327506425 327895850 328959296 334282420 361386400 368425280 373092305 380359186 411199120 417853025 419208224 419706688 460531600 461079200 484709509 485285858 513998900 524010280 524633360 534851872 566497600 596238724 596947688 655012850 655791700 668564840 722772800 745298405 746184610 760718372 822398240 835706050 838416448 921063200 922158400 950897965 969419018 970571716 1027997800 1048020560 1049266720 1069703744 1192477448 1193895376 1213214645 1310025700 1311583400 1337129680 1490596810 1492369220 1521436744 1644796480 1671412100 1842126400 1865461525 1901795930 1938838036 1941143432 2055995600 2096041120 2098533440 2163935369 2384954896 2387790752 2423547545 2426429290 2620051400 2623166800 2674259360 2760883057 2981193620 2984738440 3042873488 3342824200 3726492025 3730923050 3803591860 3877676072 3882286864 4111991200 4192082240 4327870738 4754489825 4769909792 4775581504 4847095090 4852858580 5240102800 5246333600 5348518720 5515208197 5521766114 5962387240 5969476880 6066073225 6085746976 6685648400 7036644941 7452984050 7461846100 7607183720 7755352144 7764573728 8223982400 8655741476 9508979650 9539819584 9694190180 9705717160 10480205600 10492667200 10819676845 11030416394 11043532228 11924774480 11938953760 12117737725 12132146450 12171493952 13371296800 13804415285 14073289882 14905968100 14923692200 15214367440 15510704288 15529147456 17311482952 19017959300 19388380360 19411434320 20960411200 21639353690 22060832788 22087064456 23849548960 23877907520 24235475450 24264292900 26742593600 27576040985 27608830570 28146579764 29811936200 29847384400 30428734880 31021408576 34622965904 35183224705 38035918600 38776760720 38822868640 43278707380 44121665576 44174128912 47699097920 48470950900 48528585800 54098384225 55152081970 55217661140 56293159528 59623872400 59694768800 60857469760 62754125701 69022076425 69245931808 70366449410 76071837200 77553521440 77645737280 80065608653 86557414760 88243331152 88348257824 96941901800 97057171600 102152673109 108196768450 110304163940 110435322280 112586319056 119247744800 119389537600 125508251402 137880204925 138044152850 138491863616 140732898820 152143674400 155107042880 160131217306 173114829520 175916123525 176486662304 176696515648 193883803600 194114343200 204062703289 204305346218 216393536900 220608327880 220870644560 225172638112 238495489600 251016502804 275760409850 276088305700 281465797640 304287348800 313770628505 320262434612 346229659040 351832247050 352973324608 387767607200 388228686400 400328043265 408125406578 408610692436 432787073800 441216655760 441741289120 450345276224 502033005608 510763365545 551520819700 552176611400 562931595280 627541257010 640524869224 692459318080 703664494100 775535214400 800656086530 816250813156 817221384872 865574147600 882433311520 883482578240 1004066011216 1020313516445 1021526731090 1103041639400 1104353222800 1125863190560 1255082514020 1281049738448 1407328988200 1568853142525 1601312173060 1632501626312 1634442769744 1731148295200 1764866623040 2001640216325 2008132022432 2040627032890 2043053462180 2206083278800 2208706445600 2251726381120 2321902650937 2510165028040 2553816827725 2562099476896 2814657976400 2962427520161 3137706285050 3202624346120 3265003252624 3268885539488 3462296590400 4003280432650 4016264044864 4081254065780 4086106924360 4412166557600 4417412891200 4643805301874 5020330056080 5101567582225 5107633655450 5124198953792 5629315952800 5924855040322 6275412570100 6405248692240 6530006505248 6537771078976 8006560865300 8162508131560 8172213848720 8824333115200 9287610603748 10040660112160 10203135164450 10215267310900 11258631905600 11609513254685 11849710080644 12550825140200 12810497384480 13060013010496 14812137600805 16013121730600 16325016263120 16344427697440 18575221207496 20081320224320 20406270328900 20430534621800 23219026509370 23699420161288 25101650280400 25620994768960 29624275201610 32026243461200 32650032526240 32688855394880 37150442414992 40812540657800 40861069243600 46438053018740 47398840322576 50203300560800 58047566273425 59248550403220 64052486922400 65300065052480 74060688004025 74300884829984 81625081315600 81722138487200 85910398084669 92876106037480 94797680645152 100406601121600 116095132546850 118497100806440 128104973844800 148121376008050 148601769659968 163250162631200 163444276974400 171820796169338 185752212074960 189595361290304 232190265093700 236994201612880 296242752016100 326500325262400 343641592338676 371504424149920 429551990423345 464380530187400 473988403225760 592485504032200 687283184677352 743008848299840 859103980846690 928761060374800 947976806451520 1184971008064400 1374566369354704 1718207961693380 1857522120749600 2147759952116725 2369942016128800 2749132738709408 3436415923386760 3715044241499200 4295519904233450 4739884032257600 5498265477418816 6872831846773520 8591039808466900 13745663693547040 17182079616933800 27491327387094080 34364159233867600 68728318467735200 137456636935470400
• Sum of all divisors σ(n): 360874969483373436
• Sum of proper divisors (its aliquot sum) s(n): 223418332547903036
• 137456636935470400 is an abundant number, because the sum of its proper divisors (223418332547903036) is greater than itself. Its abundance is 85961695612432636

Bases of 137456636935470400

• Binary: 111101000010110000001010101000000100011101111110101000000₂
• Hexadecimal: 0x1E85815408EFD40
• Base-36: 11LGB79A6O1S

Squares and roots of 137456636935470400

• 137456636935470400 squared (137456636935470400²) is 18894327037609725398253669276160000
• 137456636935470400 cubed (137456636935470400³) is 2597150651748762005731294515552027896997105664000000
• The square root of 137456636935470400 is 370751448.9998257579
• The cube root of 137456636935470400 is 516085.7940485861

Scales and comparisons

• 137,456,636,935,470,400 seconds is equal to 4,370,695,873 years, 13 weeks, 1 day, 5 hours, 46 minutes, 40 seconds.
• To count from 1 to 137,456,636,935,470,400 would take you about thirteen billion, one hundred twelve million, eighty-seven thousand, six hundred nineteen 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 137456636935470400 cubic inches would be around 43007.1 feet tall.

Recreational maths with 137456636935470400

• 137456636935470400 backwards is 004074539636654731
• The number of decimal digits it has is: 18
• The sum of 137456636935470400's digits is 73
• More coming soon!