138492262462997594125
138,492,262,462,997,594,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138492262462997594125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
138492262462997594125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138492262462997594125:
53 × 132 × 173 × 292 × 612 × 6532
(5 × 5 × 5 × 13 × 13 × 17 × 17 × 17 × 29 × 29 × 61 × 61 × 653 × 653)See below for interesting mathematical facts about the number 138492262462997594125 from the Numbermatics database.
Names of 138492262462997594125
- Cardinal: 138492262462997594125 can be written as One hundred thirty-eight quintillion, four hundred ninety-two quadrillion, two hundred sixty-two trillion, four hundred sixty-two billion, nine hundred ninety-seven million, five hundred ninety-four thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38492262462997594125 × 1020
Factors of 138492262462997594125
Divisors of 138492262462997594125
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 5 13 17 25 29 61 65 85 125 145 169 221 289 305 325 377 425 493 653 725 793 841 845 1037 1105 1445 1525 1625 1769 1885 2125 2465 2873 3265 3625 3721 3757 3965 4205 4225 4901 4913 5185 5525 6409 7225 7625 8381 8489 8845 9425 10309 10933 11101 12325 13481 14297 14365 16325 17629 18605 18785 18937 19825 21025 21125 22997 24505 24565 25925 27625 30073 32045 36125 39833 41905 42445 44225 47125 48373 48841 51301 51545 54665 55505 61625 63257 63869 67405 71485 71825 81625 83317 88145 93025 93925 94685 99125 105125 107909 108953 110357 114985 122525 122825 129625 142129 142477 144313 150365 160225 175253 185861 188717 199165 209525 212225 221125 229177 241865 243049 244205 246181 256505 257725 273325 277525 298961 299693 316285 319345 321929 337025 357425 359125 390949 416585 426409 440725 465125 469625 473425 511241 517829 539545 544765 549173 551785 574925 612625 614125 628849 666913 677161 710645 712385 721565 751825 801125 822341 830297 872117 876265 929305 943585 995825 1047625 1061125 1075369 1145885 1155157 1209325 1215245 1221025 1230905 1282525 1288625 1366625 1387625 1402817 1416389 1494805 1498465 1581425 1596725 1609645 1685125 1787125 1834453 1852201 1876069 1954745 2082925 2132045 2203625 2367125 2416193 2429813 2453321 2556205 2589145 2697725 2723825 2745865 2758925 2874625 2979301 3129361 3144245 3159637 3200353 3208189 3334565 3385805 3553225 3561925 3607825 3759125 3896009 4111705 4131833 4151485 4185077 4360585 4381325 4646525 4717925 4979125 5082337 5376845 5472793 5543317 5729425 5775785 6046625 6076225 6105125 6154525 6412625 6646133 6731777 7014085 7081945 7139249 7248953 7474025 7492325 7907125 7983625 8048225 8669869 8691097 8803093 9172265 9261005 9335941 9380345 9773725 10414625 10660225 10690433 11337521 11511737 12080965 12149065 12266605 12365861 12781025 12945725 13488625 13619125 13729325 13794625 13979797 14825989 14896505 15017041 15646805 15721225 15798185 16001765 16040945 16672825 16929025 17766125 17809625 18039125 18236621 18281273 19480045 19637669 20558525 20659165 20757425 20925385 21802925 21906625 23232625 23589625 23847889 24078613 25411685 26010949 26884225 27363965 27716585 28647125 28878925 30381125 30772625 31185701 31587569 31893173 33230665 33499553 33658885 35070425 35409725 35696245 36244765 37370125 37461625 40241125 40681693 41075281 41306821 41706457 43349345 43455485 44015465 45861325 46305025 46679705 46901725 48868625 50648117 53199137 53301125 53452165 53713829 54406001 56687605 57558685 60404825 60745325 61333025 61829305 63905125 64728625 68646625 69898985 70464577 71146309 72063121 74129945 74482525 75085205 78234025 78606125 78990925 80008825 80204725 83364125 84645125 86399729 91183105 91406365 92810237 93037481 94236389 97400225 98188345 102792625 103295825 103787125 104626925 109014625 112984261 114440209 119239445 120393065 121367233 123232201 127058425 130054745 134421125 136819825 138582925 144394625 147387773 149652581 155928505 157937845 158710997 159465865 160756193 166153325 167497765 168294425 175352125 177048625 178481225 181223825 181737361 192737857 195221533 195699529 203408465 205376405 206534105 208532285 210219637 216746725 217277425 220077325 229306625 231525125 233398525 234508625 237656549 252041813 253240585 255289697 265995685 267260825 268569145 272030005 283438025 287793425 302024125 303726625 306665125 309146525 310022557 333840373 338142337 349494925 352322885 355731545 358609969 360315605 370649725 372412625 375426025 391170125 394954625 400044125 401023625 405414113 410638397 431998645 435494189 442186133 455915525 457031825 464051185 465187405 471181945 487001125 490941725 516479125 523134625 528862009 530156917 536988673 542183941 564921305 569492401 572201045 596197225 601965325 606836165 616161005 635292125 650273725 684099125 691588781 692914625 698279777 702215957 736938865 748262905 754317521 779642525 789689225 793554985 797329325 803780965 830766625 837488825 841472125 892406125 904385329 906119125 908686805 916039501 924902017 963689285 976107665 978497645 1017042325 1026882025 1032670525 1042661425 1051098185 1083733625 1086387125 1100386625 1166992625 1188282745 1197897809 1209487253 1225073057 1260209065 1266202925 1276448485 1329978425 1336304125 1342845725 1360150025 1417190125 1438967125 1468795393 1545732625 1550112785 1577774029 1586667889 1602018613 1669201865 1690711685 1747474625 1761614425 1778657725 1793049845 1801578025 1853248625 1877130125 1945483553 2027070565 2043472733 2053191985 2063242961 2089830509 2094947417 2159993225 2177470945 2210930665 2279577625 2285159125 2320255925 2325937025 2355909725 2454708625 2505592141 2544093877 2644310045 2650784585 2684943365 2698086949 2710919705 2732855281 2824606525 2847462005 2861005225 2980986125 3009826625 3034180825 3080805025 3089535137 3251368625 3276543569 3318766061 3457943905 3491398885 3511079785 3573733829 3684694325 3741314525 3771587605 3898212625 3948446125 3967774925 3986646625 4018904825 4187444125 4339924849 4395850381 4521926645 4543434025 4580197505 4624510085 4661929597 4818446425 4880538325 4892488225 5085211625 5134410125 5163352625 5213307125 5255490925 5270383469 5661424457 5675286341 5748419729 5941413725 5989489045 6047436265 6096369473 6125365285 6301045325 6331014625 6382242425 6649892125 6714228625 6800750125 6892039921 6980852749 7343976965 7403401213 7517164261 7750563925 7888870145 7933339445 8010093065 8346009325 8453558425 8808072125 8893288625 8965249225 8990654153 9007890125 9128807441 9681370817 9727417765 9806127773 10135352825 10217363665 10265959925 10316214805 10449152545 10474737085 10799966125 10887354725 11054653325 11601279625 11629685125 11757009277 11779548625 11908513513 11937671269 12527960705 12720469385 12823397857 13221550225 13253922925 13424716825 13490434745 13554598525 13664276405 14123032625 14237310025 14305026125 15170904125 15374550593 15404025125 15447675685 15572671517 15723334289 16382717845 16593830305 17289719525 17456994425 17555398925 17868669145 18423471625 18706572625 18857938025 19838874625 20094524125 20364262753 20626682557 20826241969 21699624245 21875208109 21979251905 22609633225 22717170125 22900987525 23122550425 23309647985 24092232125 24402691625 24462441125 26277454625 26351917345 26565145529 26822158493 26973354113 27234316421 28307122285 28376431705 28742098645 29707068625 29947445225 30237181325 30481847365 30626826425 31505226625 31911212125 33073220401 34460199605 34739036461 34904263745 35075130337 35527118653 36719884825 37017006065 37585821305 38752819625 39444350725 39666697225 40050465325 41730046625 42267792125 42595066397 44826246125 44953270765 45644037205 46013368781 46458539777 48406854085 48637088825 49030638865 50676764125 51086818325 51329799625 51581074025 52245762725 52373685425 54436773625 55273266625 56419023037 58785046385 59542567565 59688356345 60605084761 60753475093 62639803525 63602346925 64116989285 66107751125 66269614625 67123584125 67452173725 67772992625 68321382025 71186550125 73778722433 74729456477 76872752965 77238378425 77863357585 78616671445 79252803149 81913589225 82969151525 86448597625 87284972125 87776994625 89343345725 89596518973 94289690125 96244215769 97723135393 101821313765 103133412785 103638281041 104131209845 108498121225 109376040545 109896259525 113048166125 114504937625 115612752125 116548239925 118674496733 125857820621 127479661049 127791792437 131759586725 132825727645 134110792465 134866770565 136171582105 141535611425 141882158525 143710493225 149737226125 151185906625 152409236825 152841120601 153134132125 155189726497 164583303889 165366102005 166704172141 172300998025 173695182305 174521318725 175375651685 177635593265 183599424125 185085030325 187929106525 197221753625 198333486125 199869157709 200252326625 202444729721 212975331985 217997763569 224766353825 228220186025 230066843905 232292698885 242034270425 243185444125 245153194325 255434091625 257905370125 261228813625 261868427125 264735415789 268146873241 282095115185 284377705417 293925231925 297712837825 298441781725 303025423805 303767375465 313199017625 318011734625 320584946425 337260868625 341606910125 345346891877 346192466801 350653603469 354046113473 368893612165 371878537853 373647282385 384363764825 386191892125 389316787925 393083357225 396264015745 409567946125 414845757625 446716728625 447982594865 451607473993 455976694381 458547019921 481221078845 488615676965 509106568825 515667063925 518191405205 520656049225 542490606125 546880202725 549481297625 582741199625 590563619837 593372483665 598173794153 603961017101 629289103105 637398305245 638958962185 658797933625 664128638225 670553962325 674333852825 680857910525 707678057125 709410792625 718552466125 762046184125 764205603005 775948632485 782227269277 789795176209 822916519445 826830510025 833520860705 861504990125 868475911525 872606593625 876878258425 888177966325 925425151625 939645532625 959123391629 999345788545 1012223648605 1030286440937 1064876659925 1089988817845 1123831769125 1141100930125 1150334219525 1161463494425 1210171352125 1225765971625 1270400760109 1323677078945 1334387694649 1340734366205 1347297653533 1410475575925 1421888527085 1469626159625 1488564189125 1492208908625 1515127119025 1518836877325 1602924732125 1636151668073 1661293301681 1726734459385 1730962334005 1753268017345 1761850777697 1770230567365 1844468060825 1859392689265 1868236411925 1921818824125 1946583939625 1965416786125 1981320078725 2017466444461 2139582950557 2167154237833 2239912974325 2258037369965 2279883471905 2292735099605 2406105394225 2443078384825 2545532844125 2578335319625 2590957026025 2598299050217 2603280246125 2734401013625 2833970926397 2952818099185 2966862418325 2990868970765 3019805085505 3146445515525 3186991526225 3194794810925 3320643191125 3352769811625 3371669264125 3404289552625 3441560405257 3696910170421 3705961980673 3821028015025 3879743162425 3911136346385 3948975881045 4114582597225 4134152550125 4167604303525 4342379557625 4384391292125 4440889831625 4500502068413 4558496845097 4795616958145 4834420992089 4996728942725 5061118243025 5151432204685 5324383299625 5449944089225 5751671097625 5807317472125 5870897161909 5961111258973 6321935143501 6352003800545 6618385394725 6671938473245 6703671831025 6736488267665 7052377879625 7109442635425 7575635595125 7594184386625 7677327057881 7776259323989 7795299338657 8180758340365 8306466508405 8633672296925 8654811670025 8766340086725 8809253888485 8851152836825 9222340304125 9296963446325 9341182059625 9906600393625 10039581537229 10087332222305 10168954500601 10267337290717 10697914752785 10835771189165 11199564871625 11290186849825 11399417359525 11463675498025 12030526971125 12215391924125 12954785130125 12991495251085 13297863577709 14169854631985 14764090495925 14834312091625 14954344853825 15099025427525 15732227577625 15934957631125 15973974054625 17207802026285 17347040030437 17514869495929 18484550852105 18529809903365 19105140075125 19398715812125 19555681731925 19744879405225 20572912986125 20838021517625 21596812921853 22502510342065 22684590809033 22792484225485 22904060110061 23978084790725 24172104960445 24983644713625 25305591215125 25757161023425 27249720446125 27814578357241 29354485809545 29805556294865 31609675717505 31760019002725 33091926973625 33359692366225 33518359155125 33682441338325 35547213177125 36841622043161 38386635289405 38881296619945 38976496693285 40903791701825 41532332542025 43168361484625 43274058350125 43831700433625 44046269442425 44255764184125 46484817231625 48177505748749 50197907686145 50436661111525 50844772503005 51336686453585 53489573763925 54178855945825 56450934249125 56997086797625 57318377490125 58506526889369 62847472897157 64957476255425 66489317888545 70849273159925 73820452479625 74771724269125 75495127137625 77494446366649 82185156865513 86039010131425 86735200152185 87574347479645 92422754260525 92649049516825 97778408659625 98724397026125 99805251752453 101338891402541 107472897439517 107984064609265 112512551710325 113422954045165 113962421127425 114520300550305 119890423953625 120860524802225 128785805117125 130514559983977 132196408507813 139072891786205 146772429047725 149027781474325 158048378587525 158800095013625 166798461831125 168412206691625 172872226510217 184208110215805 191933176447025 194406483099725 194882483466425 204518958509125 207661662710125 220231347212125 225511520395681 226063680821053 240887528743745 250989538430725 252183305557625 254223862515025 256683432267925 267447868819625 270894279729125 292532634446845 294899680517429 297752781430793 314237364485785 324787381277125 332446589442725 354246365799625 385638043753561 387472231833245 410925784327565 430195050657125 433676000760925 437871737398225 462113771302625 463245247584125 499026258762265 506694457012705 537364487197585 539920323046325 562562758551625 567114770225825 569812105637125 572601502751525 604302624011125 626307574733737 652572799919885 660982042539065 695364458931025 733862145238625 745138907371625 790241892937625 864361132551085 921040551079025 959665882235125 972032415498625 974412417332125 1068407039251669 1127557601978405 1130318404105265 1204437643718725 1254947692153625 1271119312575125 1283417161339625 1317405588233033 1397147666713721 1462663172234225 1474498402587145 1488763907153965 1571186822428925 1662232947213625 1696689279791701 1928190218767805 1937361159166225 2054628921637825 2168380003804625 2189358686991125 2247338944632821 2495131293811325 2533472285063525 2686822435987925 2699601615231625 2835573851129125 2863007513757625 2938827850673689 3131537873668685 3262863999599425 3304910212695325 3476822294655125 3833695846726577 4321805662755425 4605202755395125 5013294568796293 5342035196258345 5637788009892025 5651592020526325 6022188218593625 6555846743810537 6587027941165165 6985738333568605 7313315861171125 7372492012935725 7443819535769825 7855934112144625 8483446398958505 9640951093839025 9686805795831125 10273144608189125 11236694723164105 12475656469056625 12667361425317625 13434112179939625 14694139253368445 15657689368343425 16314319997997125 16524551063476625 18162919667278373 19168479233632885 21609028313777125 25066472843981465 26710175981291725 28188940049460125 28257960102631625 32779233719052685 32935139705825825 34928691667843025 36862460064678625 37219097678849125 38204762058757957 42417231994792525 48204755469195125 56183473615820525 65172829394351809 73470696266842225 78288446841717125 85226007669536981 90814598336391865 95842396168164425 125332364219907325 133550879906458625 163896168595263425 164675698529129125 174643458339215125 191023810293789785 212086159973962625 280917368079102625 325864146971759045 367353481334211125 426130038347684905 454072991681959325 479211980840822125 626661821099536625 819480842976317125 955119051468948925 1107938099703980753 1629320734858795225 2130650191738424525 2270364958409796625 4775595257344744625 5539690498519903765 8146603674293976125 10653250958692122625 27698452492599518825 138492262462997594125
- Sum of all divisors σ(n): 209697201145175693040
- Sum of proper divisors (its aliquot sum) s(n): 71204938682178098915
- 138492262462997594125 is a deficient number, because the sum of its proper divisors (71204938682178098915) is less than itself. Its deficiency is 67287323780819495210
Bases of 138492262462997594125
- Binary: 11110000001111101110101101011110010010101110010001100000000000011012
- Hexadecimal: 0x781F75AF25723000D
- Base-36: T8769RL9K6GB1
Squares and roots of 138492262462997594125
- 138492262462997594125 squared (1384922624629975941252) is 19180106762119812436225093665538234515625
- 138492262462997594125 cubed (1384922624629975941253) is 2656296379767812025230660805870734909652360597684409720703125
-
The
square root of 138492262462997594125 is 11768273554.9016532081 -
The
cube root of 138492262462997594125 is 5173786.5011613047
Scales and comparisons
How big is 138492262462997594125?- 138,492,262,462,997,594,125 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,492,262,462,997,594,125 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138492262462997594125 cubic inches would be around 431148.9 feet tall.
Recreational maths with 138492262462997594125
- 138492262462997594125 backwards is 521495799264262294831
- The number of decimal digits it has is: 21
- The sum of 138492262462997594125's digits is 100
- More coming soon!
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"Number 138492262462997594125 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 138492262462997594125 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138492262462997594125/
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The information we have on file for 138492262462997594125 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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