137422697889495040
137,422,697,889,495,040 is an even composite number composed of seven prime numbers multiplied together.
137422697889495040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137422697889495040:
211 × 5 × 112 × 31 × 181 × 257 × 76913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 31 × 181 × 257 × 76913)See below for interesting mathematical facts about the number 137422697889495040 from the Numbermatics database.
Names of 137422697889495040
- Cardinal: 137422697889495040 can be written as One hundred thirty-seven quadrillion, four hundred twenty-two trillion, six hundred ninety-seven billion, eight hundred eighty-nine million, four hundred ninety-five thousand and forty.
Scientific notation
- Scientific notation: 1.3742269788949504 × 1017
Factors of 137422697889495040
Divisors of 137422697889495040
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 121 124 128 155 160 176 181 220 242 248 256 257 310 320 341 352 362 440 484 496 512 514 605 620 640 682 704 724 880 905 968 992 1024 1028 1210 1240 1280 1285 1364 1408 1448 1705 1760 1810 1936 1984 1991 2048 2056 2420 2480 2560 2570 2728 2816 2827 2896 3410 3520 3620 3751 3872 3968 3982 4112 4840 4960 5120 5140 5456 5611 5632 5654 5792 6820 7040 7240 7502 7744 7936 7964 7967 8224 9680 9920 9955 10240 10280 10912 11222 11264 11308 11584 13640 14080 14135 14480 15004 15488 15872 15928 15934 16448 18755 19360 19840 19910 20560 21824 21901 22444 22528 22616 23168 27280 28055 28160 28270 28960 30008 30976 31097 31744 31856 31868 32896 37510 38720 39680 39820 39835 41120 43648 43802 44888 45232 46336 46517 54560 56110 56320 56540 57920 60016 61721 61952 62194 63488 63712 63736 65792 75020 76913 77440 79360 79640 79670 82240 87296 87604 87637 89776 90464 92672 93034 109120 109505 112220 112640 113080 115840 120032 123442 123904 124388 127424 127472 131584 150040 153826 154880 155485 158720 159280 159340 164480 174592 175208 175274 179552 180928 185344 186068 218240 219010 224440 226160 231680 232585 240064 246884 247808 248776 254848 254944 263168 300080 307652 308605 309760 310970 317440 318560 318680 328960 349184 350416 350548 359104 361856 370688 372136 384565 436480 438020 438185 448880 452320 463360 465170 480128 493768 497552 509696 509888 511687 526336 600160 615304 617210 619520 621940 637120 637360 657920 678931 698368 700832 701096 718208 723712 744272 769130 846043 872960 876040 876370 897760 904640 926720 930340 960256 964007 987536 995104 1019392 1019776 1023374 1200320 1230608 1234420 1239040 1243880 1274240 1274720 1315840 1357862 1401664 1402192 1436416 1442027 1447424 1488544 1538260 1692086 1745920 1752080 1752740 1795520 1809280 1853440 1860680 1920512 1928014 1975072 1990208 2038784 2039552 2046748 2384303 2400640 2461216 2468840 2487760 2548480 2549440 2558435 2631680 2715724 2803328 2804384 2872832 2884054 2894848 2977088 3076520 3384172 3394655 3491840 3504160 3505480 3591040 3618560 3721360 3841024 3856028 3950144 3980416 4077568 4079104 4093496 4230215 4768606 4801280 4820035 4922432 4937680 4975520 5096960 5098880 5116870 5431448 5606656 5608768 5628557 5745664 5768108 5789696 5954176 6153040 6768344 6789310 7008320 7010960 7182080 7210135 7237120 7442720 7682048 7712056 7900288 7960832 8158208 8186992 8460430 9306473 9537212 9602560 9640070 9844864 9875360 9951040 10193920 10197760 10233740 10862896 11213312 11217536 11257114 11491328 11536216 11908352 11921515 12306080 13536688 13578620 13921253 14016640 14021920 14364160 14420270 14474240 14885440 15424112 15800576 15862297 15921664 16316416 16373984 16920860 18612946 19074424 19205120 19280140 19689728 19750720 19766641 19902080 20387840 20395520 20467480 21725792 22426624 22435072 22514228 23072432 23816704 23843030 24612160 26227333 27073376 27157240 27842506 28033280 28043840 28142785 28728320 28840540 28948480 29770880 30848224 31601152 31724594 31843328 32747968 33841720 37225892 38148848 38410240 38560280 39379456 39501440 39533282 39804160 40791040 40934960 43451584 44853248 44870144 45028456 46144864 46532365 47633408 47686060 49224320 52454666 54146752 54314480 55685012 56066560 56087680 56285570 57456640 57681080 59541760 61696448 63202304 63449188 63686656 65495936 67683440 69606265 74451784 76297696 77120560 78758912 79002880 79066564 79311485 79608320 81582080 81869920 86903168 89740288 90056912 92289728 93064730 95266816 95372120 98448640 98833205 104909332 108293504 108628960 111370024 112133120 112175360 112571140 115362160 119083520 123392896 126404608 126898376 130991872 131136665 135366880 139212530 148903568 152595392 153133783 154241120 157517824 158005760 158133128 158622970 159216640 163739840 173806336 174485267 179480576 180113824 184579456 186129460 190744240 196897280 197666410 209818664 216587008 217257920 217433051 222740048 224266240 224350720 225142280 230724320 238167040 246785792 253796752 261983744 262273330 270733760 278425060 288500663 297807136 305190784 306267566 308482240 316011520 316266256 317245940 318433280 327479680 347612672 348970534 360227648 369158912 372258920 381488480 393794560 395332820 419637328 431558843 433174016 434515840 434866102 445480096 448701440 450284560 461448640 476334080 493571584 507593504 523967488 524546660 541467520 556850120 577001326 595614272 610381568 612535132 612765871 616964480 632023040 632532512 634491880 654959360 695225344 697941068 720455296 738317824 744517840 762976960 765668915 787589120 790665640 839274656 863117686 866348032 869031680 869732204 872426335 890960192 897402880 900569120 922897280 987143168 1015187008 1047934976 1049093320 1082935040 1087165255 1113700240 1154002652 1191228544 1220763136 1225070264 1225531742 1233928960 1265065024 1268983760 1309918720 1390450688 1395882136 1440910592 1442503315 1476635648 1489035680 1525953920 1531337830 1581331280 1678549312 1684471613 1726235372 1732696064 1738063360 1739464408 1744852670 1781920384 1801138240 1845794560 1974286336 2030374016 2098186640 2157794215 2165870080 2174330510 2227400480 2308005304 2382457088 2391763561 2441526272 2450140528 2451063484 2467857920 2530130048 2537967520 2619837440 2791764272 2881821184 2885006630 2953271296 2978071360 3051907840 3062675660 3063829355 3162662560 3357098624 3368943226 3452470744 3476126720 3478928816 3489705340 3563840768 3577762021 3602276480 3691589120 4060748032 4196373280 4315588430 4331740160 4348661020 4454800960 4616010608 4747147273 4764914176 4783527122 4883052544 4900281056 4902126968 4935715840 5060260096 5075935040 5239674880 5583528544 5763642368 5770013260 5956142720 6103815680 6125351320 6127658710 6325325120 6714197248 6737886452 6740424581 6904941488 6952253440 6957857632 6979410680 7127681536 7155524042 7204552960 7383178240 8121496064 8392746560 8422358065 8631176860 8663480320 8697322040 8909601920 9232021216 9494294546 9529828352 9567054244 9800562112 9804253936 9871431680 10120520192 10151870080 11167057088 11527284736 11540026520 11912285440 11958817805 12207631360 12250702640 12255317420 12650650240 13428394496 13475772904 13480849162 13809882976 13915715264 13958821360 14255363072 14311048084 14409105920 14766356480 16242992128 16785493120 16844716130 17262353720 17394644080 17819203840 17888810105 18464042432 18988589092 19059656704 19134108488 19601124224 19608507872 20241040384 20303740160 22334114176 23080053040 23735736365 23824570880 23917635610 24415262720 24501405280 24510634840 25301300480 26856788992 26951545808 26961698324 27619765952 27831430528 27917642720 28510726144 28622096168 28818211840 32485984256 33570986240 33689432260 33702122905 34524707440 34789288160 35638407680 35777620210 36928084864 37977178184 38268216976 39202248448 39217015744 39355382231 40482080768 40607480320 44668228352 46160106080 47471472730 47649141760 47835271220 49002810560 49021269680 50602600960 52218620003 53713577984 53903091616 53923396648 55239531904 55662861056 55835285440 57244192336 57636423680 67141972480 67378864520 67404245810 69049414880 69578576320 71276815360 71555240420 73856169728 74144670391 75954356368 76536433952 78404496896 78434031488 78710764462 81214960640 89336456704 92320212160 94942945460 95298283520 95670542440 98005621120 98042539360 101205201920 104437240006 107806183232 107846793296 110479063808 110910622651 111325722112 111670570880 114488384672 134283944960 134757729040 134808491620 138098829760 139157152640 142553630720 143110480840 147712339456 148289340782 151908712736 153072867904 156808993792 156868062976 157421528924 162429921280 178672913408 184640424320 189885890920 191341084880 196011242240 196085078720 196776911155 202410403840 208874480012 215612366464 215693586592 220958127616 221821245302 222651444224 223341141760 228976769344 261093100015 268567889920 269515458080 269616983240 276197659520 278314305280 286220961680 295424678912 296578681564 303817425472 306145735808 313617987584 313736125952 314843057848 357345826816 369280848640 370723351955 379771781840 382682169760 392022484480 392170157440 393553822310 417748960024 431224732928 431387173184 432909204541 441916255232 443642490604 445302888448 446682283520 457953538688 522186200030 539030916160 539233966480 552395319040 554553113255 556628610560 572441923360 590849357824 593157363128 607634850944 612291471616 627472251904 629686115696 738561697280 741446703910 759543563680 765364339520 784044968960 784340314880 787107644620 835497920048 862449465856 862774346368 865818409082 883832510464 887284981208 893364567040 915907077376 1044372400060 1078061832320 1078467932960 1104790638080 1109106226510 1113257221120 1144883846720 1186314726256 1215269701888 1220016849161 1224582943232 1254944503808 1259372231392 1477123394560 1482893407820 1519087127360 1530728679040 1568089937920 1568680629760 1574215289240 1670995840096 1724898931712 1725548692736 1731636818164 1774569962416 1786729134080 1831814154752 2088744800120 2156123664640 2156935865920 2164546022705 2209581276160 2218212453020 2226514442240 2289767693440 2372629452512 2430539403776 2440033698322 2449165886464 2518744462784 2954246789120 2965786815640 3038174254720 3061457358080 3137361259520 3148430578480 3341991680192 3449797863424 3451097385472 3463273636328 3549139924832 3663628309504 4177489600240 4312247329280 4313871731840 4329092045410 4419162552320 4436424906040 4579535386880 4745258905024 4861078807552 4880067396644 4898331772928 5037488925568 5931573631280 6076348509440 6100084245805 6122914716160 6274722519040 6296861156960 6683983360384 6902194770944 6926547272656 7098279849664 7327256619008 8354979200480 8624494658560 8627743463680 8658184090820 8872849812080 9159070773760 9490517810048 9722157615104 9760134793288 10074977851136 11863147262560 12152697018880 12200168491610 12245829432320 12593722313920 13367966720768 13420185340771 13804389541888 13853094545312 14196559699328 16709958400960 17248989317120 17255486927360 17316368181640 17745699624160 18318141547520 18981035620096 19520269586576 20149955702272 23726294525120 24305394037760 24400336983220 24491658864640 25187444627840 26735933441536 26840370681542 27706189090624 28393119398656 33419916801920 34510973854720 34632736363280 35491399248320 36636283095040 37962071240192 39040539173152 40299911404544 47452589050240 48610788075520 48800673966440 50374889255680 53471866883072 53680741363084 55412378181248 56786238797312 66839833603840 67100926703855 69021947709440 69265472726560 70982798496640 75924142480384 78081078346304 80599822809088 94905178100480 97601347932880 100749778511360 106943733766144 107361482726168 110824756362496 113572477594624 133679667207680 134201853407710 138530945453120 141965596993280 151848284960768 156162156692608 189810356200960 195202695865760 201499557022720 214722965452336 221649512724992 227144955189248 267359334415360 268403706815420 277061890906240 283931193986560 312324313385216 379620712401920 390405391731520 402999114045440 429445930904672 443299025449984 534718668830720 536807413630840 554123781812480 567862387973120 624648626770432 759241424803840 780810783463040 858891861809344 886598050899968 1073614827261680 1108247563624960 1135724775946240 1249297253540864 1561621566926080 1717783723618688 2147229654523360 2216495127249920 2498594507081728 3123243133852160 3435567447237376 4294459309046720 4432990254499840 6246486267704320 6871134894474752 8588918618093440 12492972535408640 13742269788949504 17177837236186880 27484539577899008 34355674472373760 68711348944747520 137422697889495040
- Sum of all divisors σ(n): 377661981666977280
- Sum of proper divisors (its aliquot sum) s(n): 240239283777482240
- 137422697889495040 is an abundant number, because the sum of its proper divisors (240239283777482240) is greater than itself. Its abundance is 102816585887987200
Bases of 137422697889495040
- Binary: 1111010000011100100110111001100111100011101111000000000002
- Hexadecimal: 0x1E8393733C77800
- Base-36: 11L4A3VIHP8G
Squares and roots of 137422697889495040
- 137422697889495040 squared (1374226978894950402) is 18884997895227424521047186184601600
- 137422697889495040 cubed (1374226978894950403) is 2595227360399588064261471373194939459674847576064000
-
The
square root of 137422697889495040 is 370705675.5560872715 -
The
cube root of 137422697889495040 is 516043.3154370409
Scales and comparisons
How big is 137422697889495040?- 137,422,697,889,495,040 seconds is equal to 4,369,616,716 years, 29 weeks, 5 days, 2 hours, 50 minutes, 40 seconds.
-
To count from 1 to 137,422,697,889,495,040 would take you about thirteen billion, one hundred eight million, eight hundred fifty thousand, one hundred forty-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 137422697889495040 cubic inches would be around 43003.6 feet tall.
Recreational maths with 137422697889495040
- 137422697889495040 backwards is 040594988796224731
- 137422697889495040 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137422697889495040's digits is 88
- More coming soon!
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Numbermatics. (2024). Number 137422697889495040 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/137422697889495040/
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The information we have on file for 137422697889495040 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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