138824509381366841344
138,824,509,381,366,841,344 is an even composite number composed of five prime numbers multiplied together.
What does the number 138824509381366841344 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1377 divisors.
138824509381366841344 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred seventy-seven divisors.
Prime factorization of 138824509381366841344:
216 × 132 × 612 × 1272 × 4572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 61 × 61 × 127 × 127 × 457 × 457)See below for interesting mathematical facts about the number 138824509381366841344 from the Numbermatics database.
Names of 138824509381366841344
- Cardinal: 138824509381366841344 can be written as One hundred thirty-eight quintillion, eight hundred twenty-four quadrillion, five hundred nine trillion, three hundred eighty-one billion, three hundred sixty-six million, eight hundred forty-one thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.38824509381366841344 × 1020
Factors of 138824509381366841344
Divisors of 138824509381366841344
- Number of divisors d(n): 1377
-
Complete list of divisors:
1 2 4 8 13 16 26 32 52 61 64 104 122 127 128 169 208 244 254 256 338 416 457 488 508 512 676 793 832 914 976 1016 1024 1352 1586 1651 1664 1828 1952 2032 2048 2704 3172 3302 3328 3656 3721 3904 4064 4096 5408 5941 6344 6604 6656 7312 7442 7747 7808 8128 8192 10309 10816 11882 12688 13208 13312 14624 14884 15494 15616 16129 16256 16384 20618 21463 21632 23764 25376 26416 26624 27877 29248 29768 30988 31232 32258 32512 32768 41236 42926 43264 47528 48373 50752 52832 53248 55754 58039 58496 59536 61976 62464 64516 65024 65536 77233 82472 85852 86528 95056 96746 100711 101504 105664 106496 111508 116078 116992 119072 123952 124928 129032 130048 154466 164944 171704 173056 190112 193492 201422 203008 208849 209677 211328 212992 223016 232156 233984 238144 247904 249856 258064 260096 308932 329888 343408 346112 362401 380224 386984 402844 406016 417698 419354 422656 425984 446032 464312 467968 472567 476288 495808 499712 516128 520192 617864 628849 659776 686816 692224 724802 754507 760448 773968 805688 812032 835396 838708 845312 851968 892064 928624 935936 945134 952576 983869 991616 999424 1032256 1040384 1235728 1257698 1309243 1319552 1373632 1384448 1449604 1509014 1520896 1547936 1611376 1624064 1670792 1677416 1690624 1700497 1784128 1857248 1871872 1890268 1905152 1967738 1983232 1998848 2064512 2080768 2471456 2515396 2618486 2639104 2715037 2725801 2747264 2768896 2899208 3018028 3041792 3095872 3222752 3248128 3341584 3354832 3381248 3400994 3540379 3568256 3714496 3743744 3780536 3810304 3935476 3966464 3997696 4129024 4161536 4711213 4942912 5030792 5236972 5278208 5430074 5451602 5494528 5537792 5798416 6036056 6083584 6143371 6191744 6445504 6496256 6683168 6709664 6762496 6801988 7080758 7136512 7370953 7428992 7487488 7561072 7620608 7870952 7932928 8258048 8323072 9422426 9808591 9885824 10061584 10473944 10556416 10860148 10903204 10989056 11075584 11596832 12072112 12167168 12286742 12383488 12739789 12790297 12891008 12992512 13366336 13419328 13524992 13603976 14161516 14273024 14741906 14857984 14974976 15122144 15241216 15741904 15865856 16516096 18844852 19617182 19771648 20123168 20947888 21112832 21720296 21806408 21978112 22106461 23193664 24144224 24334336 24573484 24766976 25479578 25580594 25782016 25985024 26523823 26732672 26838656 27049984 27207952 28323032 28546048 29483812 29715968 29949952 30244288 30482432 31483808 31731712 33032192 35295481 37689704 39234364 39543296 40246336 41895776 42225664 43440592 43612816 43956224 44212922 46024927 46387328 48288448 48668672 49146968 49533952 50959156 51161188 51564032 51970048 53047646 53465344 53677312 54099968 54415904 56646064 57092096 58967624 59431936 60016009 60488576 60964864 62967616 63463424 66064384 70590962 75379408 78468728 79086592 79863823 80492672 83791552 84451328 86881184 87225632 87912448 88425844 92049854 92774656 95822389 96576896 97337344 98293936 99067904 101918312 102322376 103128064 106095292 106930688 107354624 108199936 108831808 113292128 114184192 117935248 118863872 120032018 120977152 121929728 125935232 126926848 132128768 141181924 150758816 156937456 158173184 159727646 160985344 165617257 166273861 167583104 168902656 173762368 174451264 175824896 176851688 184099708 185549312 191644778 193153792 194674688 196587872 198135808 203836624 204644752 206256128 212190584 213861376 214709248 215963119 217663616 226584256 228368384 235870496 237727744 240064036 241954304 243859456 251870464 253853696 264257536 282363848 287383993 301517632 313874912 316346368 319455292 321970688 331234514 332547722 335166208 337805312 344809699 347524736 348902528 351649792 353703376 368199416 371098624 383289556 386307584 389349376 393175744 396271616 407673248 409289504 412512256 424381168 427722752 429418496 431926238 435327232 449628133 453168512 456736768 471740992 475455488 480128072 483908608 503740928 507707392 528515072 564727696 574767986 598324051 603035264 627749824 632692736 638910584 643941376 662469028 665095444 670332416 675610624 689619398 695049472 697805056 703299584 707406752 736398832 742197248 766579112 772615168 777127129 780208117 786351488 792543232 815346496 818579008 825024512 848762336 855445504 858836992 863852476 870654464 899256266 906337024 913473536 943481984 950910976 960256144 967817216 1007481856 1057030144 1129455392 1149535972 1196648102 1206070528 1245691057 1255499648 1265385472 1277821168 1287882752 1324938056 1330190888 1340664832 1379238796 1390098944 1395610112 1406599168 1414813504 1472797664 1484394496 1533158224 1545230336 1554254258 1560416234 1572702976 1585086464 1617953203 1630692992 1637158016 1650049024 1697524672 1710891008 1717673984 1727704952 1741308928 1798512532 1812674048 1826947072 1886963968 1901821952 1920512288 1935634432 2014963712 2153024341 2258910784 2299071944 2393296204 2412141056 2491382114 2510999296 2530770944 2555642336 2575765504 2649876112 2660381776 2681329664 2758477592 2780197888 2791220224 2807520547 2829627008 2945595328 2968788992 3066316448 3090460672 3108508516 3120832468 3145405952 3170172928 3235906406 3261385984 3274316032 3300098048 3368525521 3395049344 3421782016 3435347968 3455409904 3482617856 3597025064 3625348096 3773927936 3803643904 3841024576 3871268864 4029927424 4306048682 4482526087 4517821568 4598143888 4786592408 4824282112 4982764228 5021998592 5061541888 5111284672 5151531008 5299752224 5320763552 5362659328 5516955184 5560395776 5582440448 5615041094 5659254016 5845165729 5891190656 5937577984 6132632896 6180921344 6217017032 6241664936 6290811904 6471812812 6522771968 6548632064 6600196096 6737051042 6790098688 6843564032 6870695936 6910819808 6965235712 7194050128 7250696192 7547855872 7682049152 7742537728 8059854848 8612097364 8965052174 9035643136 9196287776 9573184816 9648564224 9965528456 10043997184 10102652677 10142705521 10222569344 10303062016 10599504448 10641527104 10725318656 11033910368 11120791552 11164880896 11230082188 11318508032 11690331458 11782381312 11875155968 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39211765006336 40818804555776 41057180479328 41380465364992 41544521814016 42739851810448 43076386076672 44841811735552 45639054012032 45998416642048 47883597651968 50137133854564 50531914436096 50929803526144 51131719155712 52602894535936 53017090555904 55189922136064 56171143399424 66717918278908 67243256218112 69452259191978 69999127374592 70550301605888 72867944070272 73441707409408 74163462769552 74747427043328 77810846184448 81637609111552 82114360958656 82760930729984 83089043628032 85479703620896 86152772153344 89683623471104 91278108024064 91996833284096 95767195303936 100274267709128 101063828872192 105205789071872 106034181111808 110379844272128 112342286798848 133435836557816 134486512436224 138904518383956 139998254749184 141100603211776 145735888140544 146883414818816 148326925539104 149494854086656 155621692368896 162945685027333 164228721917312 165521861459968 166178087256064 170959407241792 172305544306688 179367246942208 182556216048128 183993666568192 191534390607872 200548535418256 202127657744384 210411578143744 220759688544256 224684573597696 266871673115632 268973024872448 277809036767912 279996509498368 291471776281088 293766829637632 296653851078208 298989708173312 311243384737792 325891370054666 328457443834624 331043722919936 332356174512128 341918814483584 344611088613376 358734493884416 365112432096256 383068781215744 401097070836512 404255315488768 420823156287488 449369147195392 533743346231264 537946049744896 555618073535824 559993018996736 582943552562176 593307702156416 597979416346624 622486769475584 651782740109332 656914887669248 662087445839872 664712349024256 683837628967168 689222177226752 717468987768832 730224864192512 802194141673024 808510630977536 841646312574976 898738294390784 1067486692462528 1075892099489792 1111236147071648 1119986037993472 1165887105124352 1186615404312832 1195958832693248 1244973538951168 1303565480218664 1313829775338496 1367675257934336 1378444354453504 1434937975537664 1460449728385024 1604388283346048 1617021261955072 1683292625149952 1797476588781568 2118293905355329 2134973384925056 2151784198979584 2222472294143296 2239972075986944 2331774210248704 2373230808625664 2391917665386496 2489947077902336 2607130960437328 2627659550676992 2735350515868672 2869875951075328 2920899456770048 3208776566692096 3234042523910144 3366585250299904 4236587810710658 4269946769850112 4303568397959168 4444944588286592 4479944151973888 4663548420497408 4746461617251328 4979894155804672 5214261920874656 5255319101353984 5470701031737344 5841798913540096 6417553133384192 6468085047820288 6733170500599808 8473175621421316 8539893539700224 8607136795918336 8889889176573184 8959888303947776 9327096840994816 9492923234502656 10428523841749312 10510638202707968 10941402063474688 11683597827080192 12835106266768384 13466341001199616 16946351242842632 17079787079400448 17779778353146368 17919776607895552 18654193681989632 18985846469005312 20857047683498624 21021276405415936 21882804126949376 23367195654160384 25670212533536768 33892702485685264 34159574158800896 35559556706292736 37308387363979264 37971692938010624 41714095366997248 42042552810831872 43765608253898752 51340425067073536 67785404971370528 68319148317601792 71119113412585472 75943385876021248 83428190733994496 84085105621663744 87531216507797504 102680850134147072 135570809942741056 136638296635203584 142238226825170944 151886771752042496 166856381467988992 175062433015595008 205361700268294144 271141619885482112 273276593270407168 284476453650341888 303773543504084992 333712762935977984 410723400536588288 542283239770964224 546553186540814336 568952907300683776 667425525871955968 821446801073176576 1084566479541928448 1093106373081628672 1137905814601367552 1334851051743911936 2169132959083856896 2275811629202735104 2669702103487823872 4338265918167713792 5339404206975647744 8676531836335427584 10678808413951295488 17353063672670855168 34706127345341710336 69412254690683420672 138824509381366841344
- Sum of all divisors σ(n): 308757988287107212581
- Sum of proper divisors (its aliquot sum) s(n): 169933478905740371237
- 138824509381366841344 is an abundant number, because the sum of its proper divisors (169933478905740371237) is greater than itself. Its abundance is 31108969524373529893
Bases of 138824509381366841344
- Binary: 11110000110100100111011101111000010001100100100000100000000000000002
- Hexadecimal: 0x78693BBC232410000
- Base-36: TAQ1PGWGC0A9S
Squares and roots of 138824509381366841344
- 138824509381366841344 squared (1388245093813668413442) is 19272244404977210142364067868699667726336
- 138824509381366841344 cubed (1388245093813668413443) is 2675459874198753328539247205413612964540575974399098522435584
-
138824509381366841344 is a
perfect square number . Itssquare root is 11782381312 -
The
cube root of 138824509381366841344 is 5177920.5511959511
Scales and comparisons
How big is 138824509381366841344?- 138,824,509,381,366,841,344 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,824,509,381,366,841,344 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 138824509381366841344 cubic inches would be around 431493.4 feet tall.
Recreational maths with 138824509381366841344
- 138824509381366841344 backwards is 443148663183905428831
- The number of decimal digits it has is: 21
- The sum of 138824509381366841344's digits is 91
- More coming soon!
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"Number 138824509381366841344 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138824509381366841344 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138824509381366841344/
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Numbermatics. 2024. "Number 138824509381366841344 - Facts about the integer". https://numbermatics.com/n/138824509381366841344/
The information we have on file for 138824509381366841344 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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