138338585909173900800
138,338,585,909,173,900,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 138338585909173900800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
138338585909173900800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138338585909173900800:
29 × 32 × 52 × 113 × 9498532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 949853 × 949853)See below for interesting mathematical facts about the number 138338585909173900800 from the Numbermatics database.
Names of 138338585909173900800
- Cardinal: 138338585909173900800 can be written as One hundred thirty-eight quintillion, three hundred thirty-eight quadrillion, five hundred eighty-five trillion, nine hundred nine billion, one hundred seventy-three million, nine hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383385859091739008 × 1020
Factors of 138338585909173900800
Divisors of 138338585909173900800
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 80 88 90 96 99 100 110 120 121 128 132 144 150 160 165 176 180 192 198 200 220 225 240 242 256 264 275 288 300 320 330 352 360 363 384 396 400 440 450 480 484 495 512 528 550 576 600 605 640 660 704 720 726 768 792 800 825 880 900 960 968 990 1056 1089 1100 1152 1200 1210 1280 1320 1331 1408 1440 1452 1536 1584 1600 1650 1760 1800 1815 1920 1936 1980 2112 2178 2200 2304 2400 2420 2475 2560 2640 2662 2816 2880 2904 3025 3168 3200 3300 3520 3600 3630 3840 3872 3960 3993 4224 4356 4400 4608 4800 4840 4950 5280 5324 5445 5632 5760 5808 6050 6336 6400 6600 6655 7040 7200 7260 7680 7744 7920 7986 8448 8712 8800 9075 9600 9680 9900 10560 10648 10890 11520 11616 11979 12100 12672 12800 13200 13310 14080 14400 14520 15488 15840 15972 16896 17424 17600 18150 19200 19360 19800 19965 21120 21296 21780 23040 23232 23958 24200 25344 26400 26620 27225 28160 28800 29040 30976 31680 31944 33275 34848 35200 36300 38400 38720 39600 39930 42240 42592 43560 46464 47916 48400 50688 52800 53240 54450 57600 58080 59895 61952 63360 63888 66550 69696 70400 72600 77440 79200 79860 84480 85184 87120 92928 95832 96800 99825 105600 106480 108900 115200 116160 119790 126720 127776 133100 139392 140800 145200 154880 158400 159720 170368 174240 185856 191664 193600 199650 211200 212960 217800 232320 239580 253440 255552 266200 278784 290400 299475 309760 316800 319440 340736 348480 383328 387200 399300 422400 425920 435600 464640 479160 511104 532400 557568 580800 598950 633600 638880 681472 696960 766656 774400 798600 851840 871200 929280 949853 958320 1022208 1064800 1161600 1197900 1267200 1277760 1393920 1533312 1548800 1597200 1703680 1742400 1899706 1916640 2044416 2129600 2323200 2395800 2555520 2787840 2849559 3066624 3194400 3407360 3484800 3799412 3833280 4259200 4646400 4749265 4791600 5111040 5699118 6133248 6388800 6969600 7598824 7666560 8518400 8548677 9498530 9583200 10222080 10448383 11398236 12777600 13939200 14247795 15197648 15333120 17036800 17097354 18997060 19166400 20896766 22796472 23746325 25555200 28495590 30395296 30666240 31345149 34194708 37994120 38332800 41793532 42743385 45592944 47492650 51110400 52241915 56991180 60790592 62690298 68389416 71238975 75988240 76665600 83587064 85486770 91185888 94035447 94985300 104483830 113982360 114932213 121581184 125380596 136778832 142477950 151976480 153331200 156725745 167174128 170973540 182371776 188070894 189970600 208967660 213716925 227964720 229864426 243162368 250761192 261209575 273557664 284955900 303952960 313451490 334348256 341947080 344796639 364743552 376141788 379941200 417935320 427433850 455929440 459728852 470177235 486324736 501522384 522419150 547115328 569911800 574661065 607905920 626902980 668696512 683894160 689593278 729487104 752283576 759882400 783628725 835870640 854867700 911858880 919457704 940354470 1003044768 1034389917 1044838300 1094230656 1139823600 1149322130 1215811840 1253805960 1264254343 1337393024 1367788320 1379186556 1458974208 1504567152 1519764800 1567257450 1671741280 1709735400 1723983195 1823717760 1838915408 1880708940 2006089536 2068779834 2089676600 2188461312 2279647200 2298644260 2350886175 2431623680 2507611920 2528508686 2674786048 2735576640 2758373112 2873305325 3009134304 3039529600 3134514900 3343482560 3419470800 3447966390 3647435520 3677830816 3761417880 3792763029 4012179072 4137559668 4179353200 4376922624 4559294400 4597288520 4701772350 5015223840 5057017372 5171949585 5349572096 5471153280 5516746224 5746610650 6018268608 6079059200 6269029800 6321271715 6686965120 6838941600 6895932780 7294871040 7355661632 7522835760 7585526058 8024358144 8275119336 8358706400 8619915975 9118588800 9194577040 9403544700 10030447680 10114034744 10343899170 10942306560 11033492448 11378289087 11493221300 12036537216 12158118400 12538059600 12642543430 13373930240 13677883200 13791865560 14711323264 15045671520 15171052116 16048716288 16550238672 16717412800 17239831950 18237177600 18389154080 18807089400 18963815145 20060895360 20228069488 20687798340 21884613120 22066984896 22756578174 22986442600 24073074432 25076119200 25285086860 25859747925 26747860480 27355766400 27583731120 29422646528 30091343040 30342104232 31606358575 33100477344 33434825600 34479663900 36474355200 36778308160 37614178800 37927630290 40121790720 40456138976 41375596680 44133969792 45513156348 45972885200 48146148864 50152238400 50570173720 51719495850 54711532800 55167462240 56891445435 58845293056 60182686080 60684208464 63212717150 66200954688 66869651200 68959327800 73556616320 75228357600 75855260580 80243581440 80912277952 82751193360 88267939584 91026312696 91945770400 94819075725 100304476800 101140347440 103438991700 109423065600 110334924480 113782890870 120365372160 121368416928 126425434300 132401909376 133739302400 137918655600 147113232640 150456715200 151710521160 161824555904 165502386720 176535879168 182052625392 183891540800 189638151450 200608953600 202280694880 206877983400 220669848960 227565781740 240730744320 242736833856 252850868600 264803818752 275837311200 284457227175 294226465280 300913430400 303421042320 323649111808 331004773440 364105250784 367783081600 379276302900 401217907200 404561389760 413755966800 441339697920 455131563480 485473667712 505701737200 529607637504 551674622400 568914454350 601826860800 606842084640 647298223616 662009546880 728210501568 735566163200 758552605800 809122779520 827511933600 882679395840 902220721609 910263126960 970947335424 1011403474400 1103349244800 1137828908700 1203653721600 1213684169280 1324019093760 1456421003136 1471132326400 1517105211600 1618245559040 1655023867200 1804441443218 1820526253920 1941894670848 2022806948800 2206698489600 2275657817400 2427368338560 2648038187520 2706662164827 2912842006272 3034210423200 3236491118080 3310047734400 3608882886436 3641052507840 4045613897600 4413396979200 4511103608045 4551315634800 4854736677120 5413324329654 5825684012544 6068420846400 6620095468800 7217765772872 7282105015680 8091227795200 8119986494481 9022207216090 9102631269600 9709473354240 9924427937699 10826648659308 12136841692800 13240190937600 13533310824135 14435531545744 14564210031360 16182455590400 16239972988962 18044414432180 18205262539200 19848855875398 21653297318616 22555518040225 24273683385600 27066621648270 28871063091488 29128420062720 29773283813097 32479945977924 36088828864360 36410525078400 39697711750796 40599932472405 43306594637232 45111036080450 48547366771200 49622139688495 54133243296540 57742126182976 59546567626194 64959891955848 67666554120675 72177657728720 72821050156800 79395423501592 81199864944810 86613189274464 89319851439291 90222072160900 99244279376990 108266486593080 109168707314689 115484252365952 119093135252388 129919783911696 135333108241350 144355315457440 145642100313600 148866419065485 158790847003184 162399729889620 173226378548928 178639702878582 180444144321800 198488558753980 202999662362025 216532973186160 218337414629378 230968504731904 238186270504776 248110698442475 259839567823392 270666216482700 288710630914880 297732838130970 317581694006368 324799459779240 327506121944067 346452757097856 357279405757164 360888288643600 396977117507960 405999324724050 433065946372320 436674829258756 446599257196455 461937009463808 476372541009552 496221396884950 519679135646784 541332432965400 545843536573445 577421261829760 595465676261940 635163388012736 649598919558480 655012243888134 692905514195712 714558811514328 721776577287200 744332095327425 793954235015920 811998649448100 866131892744640 873349658517512 893198514392910 952745082019104 982518365832201 992442793769900 1039358271293568 1082664865930800 1091687073146890 1154842523659520 1190931352523880 1200855780461579 1270326776025472 1299197839116960 1310024487776268 1385811028391424 1429117623028656 1443553154574400 1488664190654850 1587908470031840 1623997298896200 1637530609720335 1732263785489280 1746699317035024 1786397028785820 1905490164038208 1965036731664402 1984885587539800 2078716542587136 2165329731861600 2183374146293780 2232996285982275 2309685047319040 2381862705047760 2401711560923158 2540653552050944 2598395678233920 2620048975552536 2729217682867225 2858235246057312 2887106309148800 2977328381309700 3175816940063680 3247994597792400 3275061219440670 3464527570978560 3493398634070048 3572794057571640 3602567341384737 3810980328076416 3930073463328804 3969771175079600 4157433085174272 4330659463723200 4366748292587560 4465992571964550 4763725410095520 4803423121846316 4912591829161005 5081307104101888 5196791356467840 5240097951105072 5458435365734450 5716470492114624 5774212618297600 5954656762619400 6004278902307895 6351633880127360 6495989195584800 6550122438881340 6929055141957120 6986797268140096 7145588115143280 7205134682769474 7621960656152832 7860146926657608 7939542350159200 8187653048601675 8661318927446400 8733496585175120 8931985143929100 9527450820191040 9606846243692632 9825183658322010 10393582712935680 10480195902210144 10807702024154211 10916870731468900 11432940984229248 11548425236595200 11909313525238800 12008557804615790 12703267760254720 12991978391169600 13100244877762680 13973594536280192 14291176230286560 14410269365538948 15243921312305664 15720293853315216 15879084700318400 16375306097203350 17322637854892800 17466993170350240 17863970287858200 18012836706923685 19054901640382080 19213692487385264 19650367316644020 20787165425871360 20960391804420288 21615404048308422 21833741462937800 22865881968458496 23818627050477600 24017115609231580 24562959145805025 25406535520509440 25983956782339200 26200489755525360 27947189072560384 28582352460573120 28820538731077896 30021394511539475 31440587706630432 31758169400636800 32750612194406700 34645275709785600 34933986340700480 35727940575716400 36025673413847370 38109803280764160 38427384974770528 39300734633288040 41920783608840576 43230808096616844 43667482925875600 45731763936916992 47637254100955200 48034231218463160 49125918291610050 51967913564678400 52400979511050720 54038510120771055 55894378145120768 57164704921146240 57641077462155792 60042789023078950 62881175413260864 63516338801273600 65501224388813400 69867972681400960 71455881151432800 72051346827694740 76219606561528320 76854769949541056 78601469266576080 83841567217681152 86461616193233688 87334965851751200 90064183534618425 95274508201910400 96068462436926320 98251836583220100 103935827129356800 104801959022101440 108077020241542110 114329409842292480 115282154924311584 120085578046157900 125762350826521728 127032677602547200 131002448777626800 139735945362801920 142911762302865600 144102693655389480 153709539899082112 157202938533152160 167683134435362304 172923232386467376 174669931703502400 180128367069236850 190549016403820800 192136924873852640 196503673166440200 209603918044202880 216154040483084220 228658819684584960 230564309848623168 240171156092315800 251524701653043456 262004897555253600 270192550603855275 279471890725603840 285823524605731200 288205387310778960 307419079798164224 314405877066304320 345846464772934752 349339863407004800 360256734138473700 381098032807641600 384273849747705280 393007346332880400 419207836088405760 432308080966168440 461128619697246336 480342312184631600 503049403306086912 524009795110507200 540385101207710550 571647049211462400 576410774621557920 614838159596328448 628811754132608640 691692929545869504 698679726814009600 720513468276947400 768547699495410560 786014692665760800 838415672176811520 864616161932336880 922257239394492672 960684624369263200 1048019590221014400 1080770202415421100 1143294098422924800 1152821549243115840 1257623508265217280 1383385859091739008 1397359453628019200 1441026936553894800 1537095398990821120 1572029385331521600 1729232323864673760 1844514478788985344 1921369248738526400 2096039180442028800 2161540404830842200 2305643098486231680 2515247016530434560 2766771718183478016 2882053873107789600 3074190797981642240 3144058770663043200 3458464647729347520 3842738497477052800 4192078360884057600 4323080809661684400 4611286196972463360 5533543436366956032 5764107746215579200 6288117541326086400 6916929295458695040 7685476994954105600 8646161619323368800 9222572393944926720 11528215492431158400 12576235082652172800 13833858590917390080 15370953989908211200 17292323238646737600 23056430984862316800 27667717181834780160 34584646477293475200 46112861969724633600 69169292954586950400 138338585909173900800
- Sum of all divisors σ(n): 544546550462763656808
- Sum of proper divisors (its aliquot sum) s(n): 406207964553589756008
- 138338585909173900800 is an abundant number, because the sum of its proper divisors (406207964553589756008) is greater than itself. Its abundance is 267869378644415855208
Bases of 138338585909173900800
- Binary: 11101111111110101010110001011101111011001100010101101010110000000002
- Hexadecimal: 0x77FD562EF662B5600
- Base-36: T7153Z320L8G0
Squares and roots of 138338585909173900800
- 138338585909173900800 squared (1383385859091739008002) is 19137564351349887737801917895888240640000
- 138338585909173900800 cubed (1383385859091739008003) is 2647463590111560342684167512222813839403134423517888512000000
-
The
square root of 138338585909173900800 is 11761742469.0890890463 -
The
cube root of 138338585909173900800 is 5171872.1127452485
Scales and comparisons
How big is 138338585909173900800?- 138,338,585,909,173,900,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,338,585,909,173,900,800 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 138338585909173900800 cubic inches would be around 430989.3 feet tall.
Recreational maths with 138338585909173900800
- 138338585909173900800 backwards is 008009371909585833831
- 138338585909173900800 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138338585909173900800's digits is 90
- More coming soon!
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"Number 138338585909173900800 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 138338585909173900800 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/138338585909173900800/
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The information we have on file for 138338585909173900800 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 138338585909173900800, math, Factors of 138338585909173900800, curriculum, school, college, exams, university, Prime factorization of 138338585909173900800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred thirty-eight quadrillion, five hundred eighty-five trillion, nine hundred nine billion, one hundred seventy-three million, nine hundred thousand, eight hundred.