138440538932963019840
138,440,538,932,963,019,840 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138440538932963019840 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1344 divisors.
138440538932963019840 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138440538932963019840:
26 × 32 × 5 × 23 × 53 × 3851 × 19531 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 23 × 53 × 3851 × 19531 × 524287)See below for interesting mathematical facts about the number 138440538932963019840 from the Numbermatics database.
Names of 138440538932963019840
- Cardinal: 138440538932963019840 can be written as One hundred thirty-eight quintillion, four hundred forty quadrillion, five hundred thirty-eight trillion, nine hundred thirty-two billion, nine hundred sixty-three million, nineteen thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3844053893296301984 × 1020
Factors of 138440538932963019840
Divisors of 138440538932963019840
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 53 60 64 69 72 80 90 92 96 106 115 120 138 144 159 160 180 184 192 207 212 230 240 265 276 288 318 320 345 360 368 414 424 460 477 480 530 552 576 636 690 720 736 795 828 848 920 954 960 1035 1060 1104 1219 1272 1380 1440 1472 1590 1656 1696 1840 1908 2070 2120 2208 2385 2438 2544 2760 2880 3180 3312 3392 3657 3680 3816 3851 4140 4240 4416 4770 4876 5088 5520 6095 6360 6624 7314 7360 7632 7702 8280 8480 9540 9752 10176 10971 11040 11553 12190 12720 13248 14628 15264 15404 16560 16960 18285 19080 19255 19504 19531 21942 22080 23106 24380 25440 29256 30528 30808 33120 34659 36570 38160 38510 39008 39062 43884 46212 48760 50880 54855 57765 58512 58593 61616 66240 69318 73140 76320 77020 78016 78124 87768 88573 92424 97520 97655 109710 115530 117024 117186 123232 138636 146280 152640 154040 156248 173295 175536 175779 177146 184848 195040 195310 204103 219420 231060 234048 234372 246464 265719 277272 292560 292965 308080 312496 346590 351072 351558 354292 369696 390080 390620 408206 438840 442865 449213 462120 468744 524287 531438 554544 585120 585930 612309 616160 624992 693180 702144 703116 708584 739392 781240 797157 816412 877680 878895 885730 898426 924240 937488 1020515 1035143 1048574 1062876 1109088 1170240 1171860 1224618 1232320 1249984 1328595 1347639 1386360 1406232 1417168 1562480 1572861 1594314 1632824 1755360 1757790 1771460 1796852 1836927 1848480 1874976 2041030 2070286 2097148 2125752 2218176 2246065 2343720 2449236 2621435 2657190 2695278 2772720 2812464 2834336 3061545 3105429 3124960 3145722 3188628 3265648 3510720 3515580 3542920 3593704 3673854 3696960 3749952 3985785 4042917 4082060 4140572 4194296 4251504 4492130 4687440 4694369 4718583 4898472 5175715 5242870 5314380 5390556 5545440 5624928 5668672 6123090 6210858 6249920 6291444 6377256 6531296 6738195 7031160 7085840 7187408 7347708 7864305 7971570 8085834 8164120 8281144 8388592 8503008 8984260 9184635 9316287 9374880 9388738 9437166 9796944 10351430 10485740 10628760 10781112 11090880 11249856 12058601 12246180 12421716 12582888 12754512 13062592 13476390 14062320 14083107 14171680 14374816 14695416 15527145 15728610 15943140 16171668 16328240 16562288 16777184 17006016 17968520 18369270 18632574 18749760 18777476 18874332 19593888 20214585 20702860 20971480 21257520 21562224 23471845 23592915 23808289 24117202 24492360 24843432 25165776 25509024 26952780 27787211 28124640 28166214 28343360 28749632 29390832 31054290 31457220 31886280 32343336 32656480 33124576 33554368 35937040 36175803 36738540 37265148 37554952 37748664 39187776 40429170 41405720 41942960 42249321 42515040 43124448 46581435 46943690 47185830 47616578 48234404 48984720 49686864 50331552 51018048 53905560 55574422 56249280 56332428 58781664 60293005 62108580 62914440 63772560 64686672 65312960 66249152 70415535 71424867 71874080 72351606 73477080 74530296 75109904 75213881 75497328 80858340 82811440 83361633 83885920 84498642 85030080 86248896 93162870 93887380 94371660 95233156 96468808 97969440 99373728 100663104 107811120 108527409 111148844 112664856 117563328 119041445 120586010 124217160 125828880 127545120 129373344 138936055 140831070 142849734 143748160 144703212 146954160 149060592 150219808 150427762 150994656 161716680 165622880 166723266 167771840 168997284 180879015 186325740 187774760 188743320 190466312 192937616 195938880 198747456 211246605 214274601 215622240 217054818 222297688 225329712 225641643 238082890 241172020 248434320 250084899 251657760 255090240 258746688 277872110 281662140 285699468 289406424 293908320 298121184 300439616 300855524 301989312 323433360 331245760 333446532 337994568 357124335 361758030 372651480 375549520 376069405 377486640 380932624 385875232 416808165 422493210 428549202 431244480 434109636 444595376 450659424 451283286 476165780 482344040 496868640 500169798 503315520 542637045 555744220 563324280 571398936 578812848 587816640 596242368 601711048 639105853 646866720 666893064 675989136 676924929 714248670 723516060 745302960 751099040 752138810 754973280 761865248 771750464 833616330 844986420 857098404 868219272 889190752 901318848 902566572 952331560 964688080 993737280 1000339596 1071373005 1085274090 1111488440 1126648560 1128208215 1142797872 1157625696 1203422096 1250424495 1278211706 1293733440 1333786128 1351978272 1353849858 1428497340 1447032120 1490605920 1502198080 1504277620 1509946560 1523730496 1667232660 1689972840 1714196808 1729919263 1736438544 1778381504 1805133144 1904663120 1917317559 1929376160 2000679192 2019029237 2142746010 2170548180 2222976880 2253297120 2256416430 2285595744 2315251392 2406844192 2500848990 2556423412 2667572256 2703956544 2707699716 2856994680 2894064240 2981211840 3008555240 3195529265 3334465320 3379945680 3384624645 3428393616 3459838526 3472877088 3610266288 3809326240 3834635118 3858752320 3986335693 4001358384 4038058474 4285492020 4341096360 4445953760 4506594240 4512832860 4571191488 4813688384 5001697980 5112846824 5189757789 5335144512 5415399432 5713989360 5751952677 5788128480 6017110480 6057087711 6391058530 6668930640 6759891360 6769249290 6856787232 6919677052 6945754176 7220532576 7618652480 7669270236 7972671386 8002716768 8076116948 8570984040 8649596315 8682192720 8891907520 9025665720 9586587795 10003395960 10095146185 10225693648 10239849397 10379515578 10830798864 11427978720 11503905354 11576256960 11959007079 12034220960 12114175422 12782117060 13337861280 13519782720 13538498580 13713574464 13839354104 14441065152 15338540472 15569273367 15945342772 16005433536 16152233896 17141968080 17299192630 17364385440 18051331440 18171263133 19173175590 19931678465 20006791920 20190292370 20451387296 20479698794 20759031156 21661597728 22855957440 23007810708 23918014158 24068441920 24228350844 25564234120 25948788945 26675722560 27076997160 27678708208 28759763385 30285438555 30677080944 30719548191 31138546734 31890685544 32304467792 34283936160 34598385260 34728770880 35877021237 36102662880 36342526266 38346351180 39863356930 40013583840 40380584740 40902774592 40959397588 41518062312 43323195456 46015621416 46437672451 47836028316 48456701688 51128468240 51199246985 51897577890 54153994320 55357416416 57519526770 59795035395 60570877110 61354161888 61439096382 62277093468 63781371088 64608935584 68567872320 69196770520 71754042474 72205325760 72685052532 76692702360 77846366835 79726713860 80027167680 80761169480 81918795176 83036124624 90856315665 91685720939 92031242832 92158644573 92875344902 95672056632 96913403376 102256936480 102398493970 103795155780 107008549561 108307988640 110714832832 115039053540 119590070790 121141754220 122708323776 122878192764 124554186936 127562742176 129217871168 138393541040 139313017353 143508084948 145370105064 153385404720 153597740955 155692733670 159453427720 161522338960 163837590352 166072249248 179385106185 181712631330 183371441878 184062485664 184317289146 185750689804 191344113264 193826806752 204513872960 204796987940 207590311560 214017099122 216615977280 230078107080 232188362255 235516536131 239180141580 242283508440 245756385528 249108373872 255125484352 275057162817 276787082080 278626034706 287016169896 290740210128 306770809440 307195481910 311385467340 318906855440 321025648683 323044677920 327675180704 332144498496 358770212370 363425262660 366742883756 368124971328 368634578292 371501379608 382688226528 387653613504 409593975880 415180623120 417939052059 428034198244 458428604695 460156214160 460793222865 464376724510 471033072262 478360283160 484567016880 491512771056 498216747744 535042747805 542712018041 550114325634 553574164160 557252069412 574032339792 581480420256 613541618880 614390963820 622770934680 637813710880 642051297366 646089355840 655350361408 696565086765 706549608393 717540424740 726850525320 733485767512 737269156584 743002759216 765376453056 819187951760 825171488451 830361246240 835878104118 856068396488 916857209390 920312428320 921586445730 928753449020 942066144524 956720566320 963076946049 969134033760 983025542112 996433495488 1070085495610 1085424036082 1100228651268 1114504138824 1148064679584 1162960840512 1177582680655 1228781927640 1245541869360 1275627421760 1284102594732 1375285814085 1393130173530 1413099216786 1435080849480 1453701050640 1466971535024 1474538313168 1486005518432 1605128243415 1628136054123 1638375903520 1650342976902 1660722492480 1671756208236 1712136792976 1833714418780 1840624856640 1843172891460 1857506898040 1884132289048 1913441132640 1926153892098 1938268067520 1966051084224 2089695260295 2119648825179 2140170991220 2170848072164 2200457302536 2229008277648 2296129359168 2355165361310 2457563855280 2461196639903 2491083738720 2568205189464 2713560090205 2750571628170 2786260347060 2826198433572 2870161698960 2907402101280 2933943070048 2949076626336 2972011036864 3210256486830 3256272108246 3276751807040 3300685953804 3343512416472 3424273585952 3532748041965 3667428837560 3686345782920 3715013796080 3768264578096 3826882265280 3852307784196 4125857442255 4179390520590 4239297650358 4280341982440 4341696144328 4400914605072 4458016555296 4710330722620 4815384730245 4884408162369 4915127710560 4922393279806 4982167477440 5136410378928 5427120180410 5501143256340 5572520694120 5652396867144 5740323397920 5814804202560 5867886140096 5898153252672 6420512973660 6512544216492 6601371907608 6687024832944 6848547171904 7065496083930 7334857675120 7372691565840 7383589919709 7430027592160 7536529156192 7704615568392 8140680270615 8251714884510 8358781041180 8478595300716 8560683964880 8683392288656 8801829210144 8916033110592 9420661445240 9630769460490 9768816324738 9830255421120 9844786559612 10272820757856 10598244125895 10854240360820 11002286512680 11145041388240 11304793734288 11480646795840 12305983199515 12482376414943 12841025947320 13025088432984 13202743815216 13374049665888 14130992167860 14669715350240 14745383131680 14767179839418 14860055184320 15073058312384 15409231136784 16281360541230 16503429769020 16717562082360 16957190601432 17121367929760 17366784577312 17603658420288 18841322890480 19261538920980 19537632649476 19689573119224 20545641515712 21196488251790 21708480721640 22004573025360 22150769759127 22290082776480 22609587468576 24422040811845 24611966399030 24964752829886 25682051894640 26050176865968 26405487630432 26748099331776 28261984335720 29339430700480 29490766263360 29534359678836 30818462273568 32562721082460 33006859538040 33435124164720 33914381202864 34242735859520 34733569154624 36917949598545 37447129244829 37682645780960 38523077841960 39075265298952 39379146238448 39433660027847 42392976503580 43416961443280 44009146050720 44301539518254 44580165552960 45219174937152 48844081623690 49223932798060 49929505659772 51364103789280 52100353731936 52810975260864 56523968671440 59068719357672 61636924547136 62411882074715 65125442164920 66013719076080 66870248329440 67828762405728 73835899197090 74894258489658 75365291561920 77046155683920 78150530597904 78758292476896 78867320055694 84785953007160 86833922886560 88018292101440 88603079036508 97688163247380 98447865596120 99859011319544 102728207578560 104200707463872 110753848795635 112341387734487 113047937342880 118137438715344 118300980083541 124823764149430 130250884329840 132027438152160 133740496658880 135657524811456 147671798394180 149788516979316 154092311367840 156301061195808 157516584953792 157734640111388 169571906014320 173667845773120 177206158073016 187235646224145 195376326494760 196895731192240 197168300139235 199718022639088 221507697591270 224682775468974 226095874685760 236274877430688 236601960167082 249647528298860 260501768659680 264054876304320 295343596788360 299577033958632 308184622735680 312602122391616 315469280222776 339143812028640 354412316146032 354902940250623 374471292448290 390752652989520 393791462384480 394336600278470 399436045278176 443015395182540 449365550937948 472549754861376 473203920334164 499295056597720 521003537319360 561706938672435 590687193576720 591504900417705 599154067917264 630938560445552 678287624057280 708824632292064 709805880501246 748942584896580 781505305979040 787582924768960 788673200556940 798872090556352 886030790365080 898731101875896 906974180640481 946407840668328 998590113195440 1123413877344870 1181374387153440 1183009800835410 1198308135834528 1261877120891104 1417649264584128 1419611761002492 1497885169793160 1563010611958080 1577346401113880 1772061580730160 1774514701253115 1797462203751792 1813948361280962 1892815681336656 1997180226390880 2089983981475891 2246827754689740 2362748774306880 2366019601670820 2396616271669056 2523754241782208 2720922541921443 2839223522004984 2995770339586320 3154692802227760 3544123161460320 3549029402506230 3594924407503584 3627896722561924 3785631362673312 3994360452781760 4179967962951782 4493655509379480 4534870903202405 4732039203341640 5441845083842886 5678447044009968 5991540679172640 6269951944427673 6309385604455520 7088246322920640 7098058805012460 7189848815007168 7255793445123848 7571262725346624 8162767625764329 8359935925903564 8987311018758960 9069741806404810 9464078406683280 10449919907379455 10883690167685772 11356894088019936 11983081358345280 12539903888855346 12618771208911040 13604612709607215 14196117610024920 14511586890247696 16325535251528658 16719871851807128 17974622037517920 18139483612809620 18809855833283019 18928156813366560 20899839814758910 21767380335371544 22713788176039872 25079807777710692 27209225419214430 28392235220049840 29023173780495392 31349759722138365 32651070503057316 33439743703614256 35949244075035840 36278967225619240 37619711666566038 37856313626733120 40813838128821645 41799679629517820 43534760670743088 48069631573945493 50159615555421384 54418450838428860 56784470440099680 58046347560990784 62699519444276730 65302141006114632 66879487407228512 72557934451238480 75239423333132076 81627676257643290 83599359259035640 87069521341486176 94049279166415095 96139263147890986 100319231110842768 108836901676857720 113568940880199360 125399038888553460 130604282012229264 133758974814457024 144208894721836479 145115868902476960 150478846666264152 163255352515286580 167198718518071280 174139042682972352 188098558332830190 192278526295781972 200638462221685536 217673803353715440 240348157869727465 250798077777106920 261208564024458528 288417789443672958 290231737804953920 300957693332528304 326510705030573160 334397437036142560 376197116665660380 384557052591563944 401276924443371072 432626684165509437 435347606707430880 480696315739454930 501596155554213840 522417128048917056 576835578887345916 601915386665056608 653021410061146320 668794874072285120 721044473609182395 752394233331320760 769114105183127888 865253368331018874 870695213414861760 961392631478909860 1003192311108427680 1153671157774691832 1203830773330113216 1306042820122292640 1442088947218364790 1504788466662641520 1538228210366255776 1730506736662037748 1922785262957819720 2006384622216855360 2163133420827547185 2307342315549383664 2612085640244585280 2884177894436729580 3009576933325283040 3076456420732511552 3461013473324075496 3845570525915639440 4326266841655094370 4614684631098767328 5768355788873459160 6019153866650566080 6922026946648150992 7691141051831278880 8652533683310188740 9229369262197534656 11536711577746918320 13844053893296301984 15382282103662557760 17305067366620377480 23073423155493836640 27688107786592603968 34610134733240754960 46146846310987673280 69220269466481509920 138440538932963019840
- Sum of all divisors σ(n): 506414622043256389632
- Sum of proper divisors (its aliquot sum) s(n): 367974083110293369792
- 138440538932963019840 is an abundant number, because the sum of its proper divisors (367974083110293369792) is greater than itself. Its abundance is 229533544177330349952
Bases of 138440538932963019840
- Binary: 11110000001001111111001100010101011100011001110010110001100010000002
- Hexadecimal: 0x7813F98AB8CE58C40
- Base-36: T7T0ZAZLJKB40
Squares and roots of 138440538932963019840
- 138440538932963019840 squared (1384405389329630198402) is 19165782820049249671928544228972233625600
- 138440538932963019840 cubed (1384405389329630198403) is 2653321302679741928468850432064295110746694075649767931904000
-
The
square root of 138440538932963019840 is 11766075766.0726891921 -
The
cube root of 138440538932963019840 is 5173142.3260078721
Scales and comparisons
How big is 138440538932963019840?- 138,440,538,932,963,019,840 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,440,538,932,963,019,840 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 138440538932963019840 cubic inches would be around 431095.2 feet tall.
Recreational maths with 138440538932963019840
- 138440538932963019840 backwards is 048910369239835044831
- 138440538932963019840 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138440538932963019840's digits is 90
- More coming soon!
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"Number 138440538932963019840 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138440538932963019840 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138440538932963019840/
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Numbermatics. 2024. "Number 138440538932963019840 - Facts about the integer". https://numbermatics.com/n/138440538932963019840/
The information we have on file for 138440538932963019840 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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