138679820342702677203300864
138,679,820,342,702,677,203,300,864 is an even composite number composed of three prime numbers multiplied together.
138679820342702677203300864 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seven hundred divisors.
Prime factorization of 138679820342702677203300864:
29 × 36 × 1939
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 193 × 193 × 193 × 193 × 193 × 193 × 193 × 193 × 193)See below for interesting mathematical facts about the number 138679820342702677203300864 from the Numbermatics database.
Names of 138679820342702677203300864
- Cardinal: 138679820342702677203300864 can be written as One hundred thirty-eight septillion, six hundred seventy-nine sextillion, eight hundred twenty quintillion, three hundred forty-two quadrillion, seven hundred two trillion, six hundred seventy-seven billion, two hundred three million, three hundred thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.38679820342702677203300864 × 1026
Factors of 138679820342702677203300864
Divisors of 138679820342702677203300864
- Number of divisors d(n): 700
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 193 216 243 256 288 324 384 386 432 486 512 576 579 648 729 768 772 864 972 1152 1158 1296 1458 1536 1544 1728 1737 1944 2304 2316 2592 2916 3088 3456 3474 3888 4608 4632 5184 5211 5832 6176 6912 6948 7776 9264 10368 10422 11664 12352 13824 13896 15552 15633 18528 20736 20844 23328 24704 27792 31104 31266 37056 37249 41472 41688 46656 46899 49408 55584 62208 62532 74112 74498 83376 93312 93798 98816 111168 111747 124416 125064 140697 148224 148996 166752 186624 187596 222336 223494 250128 281394 296448 297992 333504 335241 373248 375192 444672 446988 500256 562788 595984 667008 670482 750384 889344 893976 1000512 1005723 1125576 1191968 1334016 1340964 1500768 1787952 2001024 2011446 2251152 2383936 2668032 2681928 3001536 3017169 3575904 4002048 4022892 4502304 4767872 5363856 6003072 6034338 7151808 7189057 8004096 8045784 9004608 9051507 9535744 10727712 12006144 12068676 14303616 14378114 16091568 18009216 18103014 19071488 21455424 21567171 24012288 24137352 27154521 28607232 28756228 32183136 36018432 36206028 42910848 43134342 48274704 54309042 57214464 57512456 64366272 64701513 72036864 72412056 85821696 86268684 96549408 108618084 115024912 128732544 129403026 144824112 171643392 172537368 193098816 194104539 217236168 230049824 257465088 258806052 289648224 345074736 386197632 388209078 434472336 460099648 514930176 517612104 579296448 582313617 690149472 772395264 776418156 868944672 920199296 1035224208 1158592896 1164627234 1380298944 1387488001 1544790528 1552836312 1737889344 1746940851 1840398592 2070448416 2317185792 2329254468 2760597888 2774976002 3105672624 3475778688 3493881702 3680797184 4140896832 4162464003 4634371584 4658508936 5240822553 5521195776 5549952004 6211345248 6951557376 6987763404 8281793664 8324928006 9317017872 10481645106 11042391552 11099904008 12422690496 12487392009 13903114752 13975526808 16563587328 16649856012 18634035744 20963290212 22199808016 24845380992 24974784018 27951053616 33127174656 33299712024 37268071488 37462176027 41926580424 44399616032 49690761984 49949568036 55902107232 66599424048 74536142976 74924352054 83853160848 88799232064 99381523968 99899136072 111804214464 112386528081 133198848096 149072285952 149848704108 167706321696 177598464128 199798272144 223608428928 224773056162 266397696192 267785184193 298144571904 299697408216 335412643392 337159584243 355196928256 399596544288 447216857856 449546112324 532795392384 535570368386 599394816432 670825286784 674319168486 710393856512 799193088576 803355552579 894433715712 899092224648 1011478752729 1065590784768 1071140736772 1198789632864 1341650573568 1348638336972 1598386177152 1606711105158 1798184449296 2022957505458 2131181569536 2142281473544 2397579265728 2410066657737 2683301147136 2697276673944 3196772354304 3213422210316 3596368898592 4045915010916 4284562947088 4795158531456 4820133315474 5394553347888 6393544708608 6426844420632 7192737797184 7230199973211 8091830021832 8569125894176 9590317062912 9640266630948 10789106695776 12853688841264 14385475594368 14460399946422 16183660043664 17138251788352 19180634125824 19280533261896 21578213391552 21690599919633 25707377682528 28770951188736 28920799892844 32367320087328 34276503576704 38561066523792 43156426783104 43381199839266 51414755365056 51682540549249 57541902377472 57841599785688 64734640174656 65071799758899 68553007153408 77122133047584 86312853566208 86762399678532 102829510730112 103365081098498 115683199571376 129469280349312 130143599517798 137106014306816 154244266095168 155047621647747 172625707132416 173524799357064 195215399276697 205659021460224 206730162196996 231366399142752 258938560698624 260287199035596 308488532190336 310095243295494 347049598714128 390430798553394 411318042920448 413460324393992 462732798285504 465142864943241 517877121397248 520574398071192 616977064380672 620190486590988 694099197428256 780861597106788 826920648787984 925465596571008 930285729886482 1041148796142384 1233954128761344 1240380973181976 1388198394856512 1395428594829723 1561723194213576 1653841297575968 1850931193142016 1860571459772964 2082297592284768 2480761946363952 2776396789713024 2790857189659446 3123446388427152 3307682595151936 3701862386284032 3721142919545928 4164595184569536 4186285784489169 4961523892727904 5552793579426048 5581714379318892 6246892776854304 6615365190303872 7442285839091856 8329190369139072 8372571568978338 9923047785455808 9974730326005057 11105587158852096 11163428758637784 12493785553708608 12558857353467507 13230730380607744 14884571678183712 16658380738278144 16745143137956676 19846095570911616 19949460652010114 22326857517275568 24987571107417216 25117714706935014 26461460761215488 29769143356367424 29924190978015171 33316761476556288 33490286275913352 37676572060402521 39692191141823232 39898921304020228 44653715034551136 49975142214834432 50235429413870028 59538286712734848 59848381956030342 66980572551826704 75353144120805042 79384382283646464 79797842608040456 89307430069102272 89772572934045513 99950284429668864 100470858827740056 119076573425469696 119696763912060684 133961145103653408 150706288241610084 159595685216080912 178614860138204544 179545145868091026 200941717655480112 238153146850939392 239393527824121368 267922290207306816 269317718802136539 301412576483220168 319191370432161824 357229720276409088 359090291736182052 401883435310960224 478787055648242736 535844580414613632 538635437604273078 602825152966440336 638382740864323648 714459440552818176 718180583472364104 803766870621920448 807953156406409617 957574111296485472 1071689160829227264 1077270875208546156 1205650305932880672 1276765481728647296 1436361166944728208 1607533741243840896 1615906312812819234 1915148222592970944 1925122952918976001 2143378321658454528 2154541750417092312 2411300611865761344 2423859469219228851 2553530963457294592 2872722333889456416 3215067482487681792 3231812625625638468 3830296445185941888 3850245905837952002 4309083500834184624 4822601223731522688 4847718938438457702 5107061926914589184 5745444667778912832 5775368858756928003 6430134964975363584 6463625251251276936 7271578407657686553 7660592890371883776 7700491811675904004 8618167001668369248 9645202447463045376 9695437876876915404 11490889335557825664 11550737717513856006 12927250502502553872 14543156815315373106 15321185780743767552 15400983623351808008 17236334003336738496 17326106576270784009 19290404894926090752 19390875753753830808 22981778671115651328 23101475435027712012 25854501005005107744 29086313630630746212 30801967246703616016 34472668006673476992 34652213152541568018 38781751507507661616 45963557342231302656 46202950870055424024 51709002010010215488 51978319728812352027 58172627261261492424 61603934493407232032 68945336013346953984 69304426305083136036 77563503015015323232 92405901740110848048 103418004020020430976 103956639457624704054 116345254522522984848 123207868986814464064 137890672026693907968 138608852610166272072 155127006030030646464 155934959186437056081 184811803480221696096 206836008040040861952 207913278915249408108 232690509045045969696 246415737973628928128 277217705220332544144 310254012060061292928 311869918372874112162 369623606960443392192 371548729913362368193 413672016080081723904 415826557830498816216 465381018090091939392 467804877559311168243 492831475947257856256 554435410440665088288 620508024120122585856 623739836745748224324 739247213920886784384 743097459826724736386 831653115660997632432 930762036180183878784 935609755118622336486 985662951894515712512 1108870820881330176576 1114646189740087104579 1241016048240245171712 1247479673491496448648 1403414632677933504729 1478494427841773568768 1486194919653449472772 1663306231321995264864 1861524072360367757568 1871219510237244672972 2217741641762660353152 2229292379480174209158 2494959346982992897296 2806829265355867009458 2956988855683547137536 2972389839306898945544 3326612462643990529728 3343938569220261313737 3723048144720735515136 3742439020474489345944 4435483283525320706304 4458584758960348418316 4989918693965985794592 5613658530711734018916 5944779678613797891088 6653224925287981059456 6687877138440522627474 7484878040948978691888 8870966567050641412608 8917169517920696836632 9979837387931971589184 10031815707660783941211 11227317061423468037832 11889559357227595782176 13306449850575962118912 13375754276881045254948 14969756081897957383776 17834339035841393673264 19959674775863943178368 20063631415321567882422 22454634122846936075664 23779118714455191564352 26612899701151924237824 26751508553762090509896 29939512163795914767552 30095447122982351823633 35668678071682787346528 39919349551727886356736 40127262830643135764844 44909268245693872151328 47558237428910383128704 53503017107524181019792 59879024327591829535104 60190894245964703647266 71337356143365574693056 79838699103455772713472 80254525661286271529688 89818536491387744302656 90286341368947055470899 95116474857820766257408 107006034215048362039584 119758048655183659070208 120381788491929407294532 142674712286731149386112 160509051322572543059376 179637072982775488605312 180572682737894110941798 190232949715641532514816 214012068430096724079168 239516097310367318140416 240763576983858814589064 270859024106841166412697 285349424573462298772224 321018102645145086118752 359274145965550977210624 361145365475788221883596 428024136860193448158336 481527153967717629178128 541718048213682332825394 570698849146924597544448 642036205290290172237504 718548291931101954421248 722290730951576443767192 856048273720386896316672 963054307935435258356256 1083436096427364665650788 1284072410580580344475008 1444581461903152887534384 1712096547440773792633344 1926108615870870516712512 2166872192854729331301576 2568144821161160688950016 2889162923806305775068768 3852217231741741033425024 4333744385709458662603152 5136289642322321377900032 5778325847612611550137536 7704434463483482066850048 8667488771418917325206304 11556651695225223100275072 15408868926966964133700096 17334977542837834650412608 23113303390450446200550144 34669955085675669300825216 46226606780900892401100288 69339910171351338601650432 138679820342702677203300864
- Sum of all divisors σ(n): 417606891594287694826701966
- Sum of proper divisors (its aliquot sum) s(n): 278927071251585017623401102
- 138679820342702677203300864 is an abundant number, because the sum of its proper divisors (278927071251585017623401102) is greater than itself. Its abundance is 140247250908882340420100238
Bases of 138679820342702677203300864
- Binary: 1110010101101101001100000011111111100010001110110100011010110101111011100110010000000002
- Hexadecimal: 0x72B6981FF11DA35AF73200
- Base-36: HFATOK8QN18QO8000
Squares and roots of 138679820342702677203300864
- 138679820342702677203300864 squared (1386798203427026772033008642) is 19232092570284291293588859413038789699757097303146496
- 138679820342702677203300864 cubed (1386798203427026772033008643) is 2667103142461252477480608490832997212419503012114943805923423174231544555372544
-
The
square root of 138679820342702677203300864 is 11776239652057.9809913711 -
138679820342702677203300864 is a
perfect cube number . Itscube root is 517612104
Scales and comparisons
How big is 138679820342702677203300864?- 138,679,820,342,702,677,203,300,864 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,679,820,342,702,677,203,300,864 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 138679820342702677203300864 cubic inches would be around 43134342 feet tall.
Recreational maths with 138679820342702677203300864
- 138679820342702677203300864 backwards is 468003302776207243028976831
- 138679820342702677203300864 is a
Harshad number . - The number of decimal digits it has is: 27
- The sum of 138679820342702677203300864's digits is 108
- More coming soon!
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The information we have on file for 138679820342702677203300864 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!
Keywords: Divisors of 138679820342702677203300864, math, Factors of 138679820342702677203300864, curriculum, school, college, exams, university, Prime factorization of 138679820342702677203300864, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight septillion, six hundred seventy-nine sextillion, eight hundred twenty quintillion, three hundred forty-two quadrillion, seven hundred two trillion, six hundred seventy-seven billion, two hundred three million, three hundred thousand, eight hundred sixty-four.