138378043859140608
138,378,043,859,140,608 is an even composite number composed of five prime numbers multiplied together.
What does the number 138378043859140608 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1512 divisors.
138378043859140608 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138378043859140608:
220 × 3 × 172 × 293 × 792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 17 × 29 × 29 × 29 × 79 × 79)See below for interesting mathematical facts about the number 138378043859140608 from the Numbermatics database.
Names of 138378043859140608
- Cardinal: 138378043859140608 can be written as One hundred thirty-eight quadrillion, three hundred seventy-eight trillion, forty-three billion, eight hundred fifty-nine million, one hundred forty thousand, six hundred eight.
Scientific notation
- Scientific notation: 1.38378043859140608 × 1017
Factors of 138378043859140608
Divisors of 138378043859140608
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 79 87 96 102 116 128 136 158 174 192 204 232 237 256 272 289 316 348 384 408 464 474 493 512 544 578 632 696 768 816 841 867 928 948 986 1024 1088 1156 1264 1343 1392 1479 1536 1632 1682 1734 1856 1896 1972 2048 2176 2291 2312 2523 2528 2686 2784 2958 3072 3264 3364 3468 3712 3792 3944 4029 4096 4352 4582 4624 5046 5056 5372 5568 5916 6144 6241 6528 6728 6873 6936 7424 7584 7888 8058 8192 8381 8704 9164 9248 10092 10112 10744 11136 11832 12288 12482 13056 13456 13746 13872 14297 14848 15168 15776 16116 16384 16762 17408 18328 18496 18723 20184 20224 21488 22272 22831 23664 24389 24576 24964 25143 26112 26912 27492 27744 28594 29696 30336 31552 32232 32768 33524 34816 36656 36992 37446 38947 40368 40448 42891 42976 44544 45662 47328 48778 49152 49928 50286 52224 53824 54984 55488 57188 59392 60672 63104 64464 65536 66439 67048 68493 69632 73167 73312 73984 74892 77894 80736 80896 85782 85952 89088 91324 94656 97556 98304 99856 100572 104448 106097 107648 109968 110976 114376 116841 118784 121344 126208 128928 131072 132878 134096 136986 139264 146334 146624 147968 149784 155788 161472 161792 171564 171904 178176 180989 182648 189312 195112 196608 199317 199712 201144 208896 212194 215296 219936 221952 228752 233682 237568 242688 243049 252416 257856 262144 265756 268192 273972 278528 292668 293248 295936 299568 311576 318291 322944 323584 343128 343808 356352 361978 365296 378624 390224 393216 398634 399424 402288 414613 417792 424388 430592 439872 443904 457504 467364 475136 485376 486098 504832 515712 524288 531512 536384 542967 547944 557056 585336 586496 591872 599136 623152 636582 645888 647168 662099 686256 687616 712704 723956 729147 730592 757248 780448 786432 797268 798848 804576 829226 835584 848776 861184 879744 887808 915008 934728 950272 970752 972196 1009664 1031424 1048576 1063024 1072768 1085934 1095888 1114112 1129463 1170672 1172992 1183744 1198272 1243839 1246304 1273164 1291776 1294336 1324198 1372512 1375232 1425408 1447912 1458294 1461184 1514496 1560896 1572864 1594536 1597696 1609152 1658452 1671168 1697552 1722368 1759488 1775616 1803649 1830016 1869456 1900544 1926731 1941504 1944392 1986297 2019328 2062848 2126048 2145536 2171868 2191776 2228224 2258926 2341344 2345984 2367488 2396544 2487678 2492608 2546328 2583552 2588672 2648396 2745024 2750464 2850816 2895824 2916588 2922368 3028992 3076813 3121792 3145728 3189072 3195392 3218304 3316904 3342336 3388389 3395104 3444736 3518976 3551232 3607298 3660032 3738912 3801088 3853462 3883008 3888784 3972594 4038656 4125696 4252096 4291072 4343736 4383552 4456448 4517852 4682688 4691968 4734976 4793088 4975356 4985216 5092656 5167104 5177344 5248681 5296792 5410947 5490048 5500928 5701632 5780193 5791648 5833176 5844736 6057984 6153626 6243584 6378144 6390784 6436608 6633808 6684672 6776778 6790208 6889472 7037952 7048421 7102464 7214596 7320064 7477824 7602176 7706924 7766016 7777568 7945188 8077312 8251392 8504192 8582144 8687472 8767104 8912896 9035704 9230439 9365376 9383936 9469952 9586176 9950712 9970432 10185312 10334208 10354688 10497362 10593584 10821894 10980096 11001856 11403264 11560386 11583296 11666352 11689472 12115968 12307252 12487168 12756288 12781568 12873216 13267616 13369344 13553556 13580416 13778944 14075904 14096842 14204928 14429192 14640128 14955648 15204352 15413848 15532032 15555136 15746043 15890376 16154624 16502784 17008384 17164288 17374944 17534208 17825792 18071408 18460878 18730752 18767872 18939904 19172352 19200871 19901424 19940864 20370624 20668416 20709376 20994724 21145263 21187168 21643788 21960192 22003712 22806528 23120772 23166592 23332704 23378944 24231936 24614504 24974336 25512576 25563136 25746432 26535232 26738688 27107112 27160832 27557888 28151808 28193684 28409856 28858384 29280256 29911296 30408704 30827696 31064064 31110272 31492086 31780752 32309248 32754427 33005568 34016768 34328576 34749888 35068416 36142816 36921756 37461504 37535744 37879808 38344704 38401742 39802848 39881728 40741248 41336832 41418752 41989448 42290526 42374336 43287576 43920384 44007424 45613056 46241544 46333184 46665408 46757888 48463872 49229008 49948672 51025152 51126272 51492864 52305821 53070464 53477376 54214224 54321664 55115776 56303616 56387368 56819712 57602613 57716768 58560512 59822592 61655392 62128128 62220544 62984172 63561504 64618496 65508854 66011136 68033536 68657152 69499776 70136832 72285632 73843512 74923008 75071488 75759616 76689408 76803484 79605696 79763456 81482496 82673664 82837504 83978896 84581052 84748672 86575152 87840768 88014848 89227577 91226112 92483088 92666368 93330816 93515776 96927744 98263281 98458016 99897344 102050304 102252544 102985728 104611642 106140928 108428448 108643328 110231552 112607232 112774736 113639424 115205226 115433536 117121024 119645184 123310784 124256256 124441088 125968344 127123008 129236992 131017708 132022272 136067072 137314304 138999552 140273664 144571264 147687024 149846016 150142976 151519232 152211749 153378816 153606968 156917463 159211392 159526912 162964992 165347328 167957792 169162104 169497344 173150304 175681536 176029696 178455154 184966176 185332736 186661632 187031552 193855488 196526562 196916032 199794688 204100608 204505088 205971456 209223284 212281856 216856896 217286656 220463104 225214464 225549472 227278848 230410452 230867072 234242048 239290368 246621568 248512512 248882176 251936688 254246016 258473984 262035416 264044544 267682731 272134144 274628608 277999104 280547328 289142528 295374048 299692032 300285952 303038464 304423498 306757632 307213936 313834926 318422784 319053824 325929984 330694656 335915584 338324208 338994688 346300608 351363072 352059392 356910308 369932352 370665472 373323264 374063104 387710976 393053124 393832064 399589376 408201216 409010176 411942912 418446568 424563712 433713792 434573312 440926208 450428928 451098944 454557696 456635247 460820904 461734144 468484096 478580736 493243136 497764352 503873376 508492032 516947968 524070832 528089088 535365462 544268288 549257216 555998208 556825259 561094656 578285056 590748096 599384064 600571904 608846996 613515264 614427872 627669852 636845568 638107648 651859968 661389312 671831168 676648416 677989376 692601216 702726144 704118784 713820616 739864704 741330944 746646528 748126208 775421952 786106248 787664128 799178752 816402432 818020352 823885824 836893136 849127424 867427584 869146624 881852416 900857856 902197888 909115392 913270494 921641808 923468288 936968192 957161472 986486272 995528704 1007746752 1016984064 1048141664 1056178176 1070730924 1088536576 1098514432 1111996416 1113650518 1122189312 1156570112 1181496192 1198768128 1201143808 1217693992 1227030528 1228855744 1255339704 1273691136 1276215296 1303719936 1322778624 1343662336 1353296832 1355978752 1385202432 1405452288 1408237568 1427641232 1479729408 1482661888 1493293056 1496252416 1516868809 1550843904 1572212496 1575328256 1598357504 1632804864 1636040704 1647771648 1670475777 1673786272 1698254848 1734855168 1738293248 1801715712 1804395776 1826540988 1843283616 1846936576 1873936384 1914322944 1972972544 1991057408 2015493504 2033968128 2096283328 2112356352 2141461848 2177073152 2197028864 2223992832 2227301036 2244378624 2313140224 2362992384 2397536256 2402287616 2435387984 2454061056 2457711488 2510679408 2547382272 2552430592 2587599733 2607439872 2645557248 2687324672 2706593664 2711957504 2770404864 2810904576 2855282464 2959458816 2965323776 2986586112 2992504832 3033737618 3144424992 3150656512 3196715008 3265609728 3272081408 3295543296 3340951554 3347572544 3396509696 3469710336 3476586496 3603431424 3608791552 3653081976 3686567232 3693873152 3747872768 3828645888 3945945088 3982114816 4030987008 4067936256 4192566656 4224712704 4282923696 4354146304 4394057728 4447985664 4454602072 4488757248 4550606427 4626280448 4725984768 4795072512 4870775968 4908122112 4915422976 5021358816 5094764544 5104861184 5175199466 5214879744 5374649344 5413187328 5423915008 5540809728 5621809152 5710564928 5918917632 5930647552 5973172224 5985009664 6067475236 6288849984 6301313024 6393430016 6531219456 6544162816 6591086592 6681903108 6695145088 6793019392 6939420672 6953172992 7206862848 7217583104 7306163952 7373134464 7387746304 7495745536 7657291776 7762799199 7891890176 7964229632 8061974016 8135872512 8385133312 8565847392 8708292608 8788115456 8895971328 8909204144 8977514496 9101212854 9252560896 9451969536 9590145024 9741551936 9816244224 9830845952 10042717632 10189529088 10209722368 10350398932 10429759488 10749298688 10826374656 10847830016 11081619456 11243618304 11421129856 11837835264 11861295104 11946344448 11970019328 12134950472 12577699968 12602626048 12786860032 13062438912 13182173184 13363806216 13390290176 13586038784 13878841344 13906345984 14435166208 14612327904 14746268928 14775492608 14991491072 15314583552 15525598398 15783780352 15928459264 16123948032 16271745024 16770266624 17131694784 17416585216 17791942656 17818408288 17955028992 18202425708 18505121792 18903939072 19180290048 19483103872 19632488448 19661691904 20085435264 20379058176 20419444736 20700797864 20859518976 21498597376 21652749312 21695660032 22163238912 22487236608 22842259712 23675670528 23722590208 23892688896 23940038656 24269900944 25155399936 25205252096 25573720064 26124877824 26364346368 26727612432 26780580352 27172077568 27757682688 27812691968 28870332416 29224655808 29492537856 29550985216 30629167104 31051196796 31567560704 31856918528 32247896064 32543490048 33540533248 34263389568 34833170432 35583885312 35636816576 35910057984 36404851416 37010243584 37807878144 38360580096 38966207744 39323383808 40170870528 40758116352 40838889472 41401595728 41719037952 42997194752 43305498624 43391320064 43989195461 44326477824 44974473216 45684519424 47351341056 47445180416 47785377792 48539801888 50310799872 50410504192 52249755648 53455224864 53561160704 54344155136 55515365376 55625383936 57740664832 58449311616 58985075712 59101970432 61258334208 62102393592 63135121408 63713837056 64495792128 65086980096 67081066496 68526779136 69666340864 71167770624 71273633152 71820115968 72809702832 74020487168 75615756288 76721160192 77932415488 78646767616 80341741056 81516232704 82803191456 83438075904 85994389504 86610997248 86782640128 87978390922 88652955648 91369038848 94702682112 94890360832 95570755584 97079603776 100621599744 100821008384 104499511296 106910449728 107122321408 108688310272 111030730752 111250767872 115481329664 116898623232 117970151424 118203940864 122516668416 124204787184 126270242816 127427674112 128991584256 130173960192 131967586383 134162132992 137053558272 142335541248 142547266304 145619405664 148040974336 151231512576 155864830976 157293535232 160683482112 163032465408 165606382912 166876151808 171988779008 173221994496 173565280256 175956781844 177305911296 182738077696 189405364224 189780721664 191141511168 194159207552 201243199488 201642016768 208999022592 213820899456 214244642816 217376620544 222061461504 230962659328 233797246464 235940302848 236407881728 248409574368 252540485632 254855348224 257983168512 260347920384 263935172766 268324265984 274107116544 284671082496 285094532608 291238811328 296081948672 302463025152 311729661952 314587070464 321366964224 326064930816 331212765824 333752303616 343977558016 346443988992 347130560512 351913563688 354611822592 365476155392 378810728448 382283022336 388318415104 402486398976 403284033536 427641798912 428489285632 434753241088 444122923008 461925318656 467594492928 471880605696 472815763456 496819148736 505080971264 515966337024 520695840768 527870345532 536648531968 548214233088 569342164992 570189065216 582477622656 592163897344 604926050304 623459323904 629174140928 642733928448 652129861632 662425531648 687955116032 692887977984 694261121024 703827127376 709223645184 730952310784 757621456896 764566044672 776636830208 804972797952 806568067072 855283597824 856978571264 888245846016 923850637312 935188985856 943761211392 945631526912 993638297472 1010161942528 1031932674048 1041391681536 1055740691064 1073297063936 1096428466176 1140378130432 1164955245312 1184327794688 1209852100608 1246918647808 1258348281856 1285467856896 1304259723264 1324851063296 1375910232064 1385775955968 1407654254752 1418447290368 1461904621568 1515242913792 1553273660416 1609945595904 1613136134144 1710567195648 1713957142528 1776491692032 1847701274624 1870377971712 1887522422784 1891263053824 1987276594944 2020323885056 2063865348096 2082783363072 2111481382128 2146594127872 2192856932352 2280756260864 2329910490624 2419704201216 2493837295616 2516696563712 2570935713792 2649702126592 2751820464128 2771551911936 2815308509504 2836894580736 2923809243136 3030485827584 3106547320832 3219891191808 3226272268288 3421134391296 3427914285056 3552983384064 3695402549248 3740755943424 3775044845568 3974553189888 4127730696192 4222962764256 4293188255744 4385713864704 4561512521728 4659820981248 4839408402432 4987674591232 5033393127424 5141871427584 5299404253184 5503640928256 5543103823872 5630617019008 5673789161472 5847618486272 6060971655168 6213094641664 6439782383616 6842268782592 6855828570112 7390805098496 7481511886848 7550089691136 7949106379776 8255461392384 8445925528512 8586376511488 8771427729408 9123025043456 9319641962496 9678816804864 9975349182464 10066786254848 10283742855168 10598808506368 11086207647744 11261234038016 11695236972544 12426189283328 12879564767232 13684537565184 13711657140224 14963023773696 15100179382272 15898212759552 16510922784768 16891851057024 17172753022976 17542855458816 18246050086912 18639283924992 19950698364928 20133572509696 20567485710336 21197617012736 22172415295488 22522468076032 23390473945088 24852378566656 25759129534464 27369075130368 27423314280448 29926047547392 30200358764544 31796425519104 33783702114048 34345506045952 35085710917632 36492100173824 37278567849984 39901396729856 41134971420672 42395234025472 45044936152064 46780947890176 49704757133312 51518259068928 54738150260736 54846628560896 59852095094784 60400717529088 63592851038208 67567404228096 70171421835264 72984200347648 74557135699968 79802793459712 82269942841344 84790468050944 90089872304128 93561895780352 99409514266624 103036518137856 109476300521472 119704190189568 127185702076416 135134808456192 140342843670528 145968400695296 149114271399936 159605586919424 164539885682688 169580936101888 180179744608256 198819028533248 218952601042944 239408380379136 254371404152832 270269616912384 280685687341056 291936801390592 298228542799872 339161872203776 360359489216512 397638057066496 437905202085888 478816760758272 508742808305664 540539233824768 583873602781184 596457085599744 678323744407552 720718978433024 795276114132992 875810404171776 1017485616611328 1081078467649536 1192914171199488 1356647488815104 1441437956866048 1590552228265984 1751620808343552 2034971233222656 2162156935299072 2385828342398976 2713294977630208 2882875913732096 4069942466445312 4324313870598144 4771656684797952 5765751827464192 8139884932890624 8648627741196288 11531503654928384 17297255482392576 23063007309856768 34594510964785152 46126014619713536 69189021929570304 138378043859140608
- Sum of all divisors σ(n): 411194413044560880
- Sum of proper divisors (its aliquot sum) s(n): 272816369185420272
- 138378043859140608 is an abundant number, because the sum of its proper divisors (272816369185420272) is greater than itself. Its abundance is 134438325326279664
Bases of 138378043859140608
- Binary: 1111010111001111000011001000001001111000000000000000000002
- Hexadecimal: 0x1EB9E1904F00000
- Base-36: 11UIX7R6ILMO
Squares and roots of 138378043859140608
- 138378043859140608 squared (1383780438591406082) is 19148483022282241731862872314609664
- 138378043859140608 cubed (1383780438591406083) is 2649729623493381350549357724370206706207666011635712
-
The
square root of 138378043859140608 is 371991994.3481856815 -
The
cube root of 138378043859140608 is 517236.3785815675
Scales and comparisons
How big is 138378043859140608?- 138,378,043,859,140,608 seconds is equal to 4,399,993,763 years, 17 weeks, 3 hours, 56 minutes, 48 seconds.
-
To count from 1 to 138,378,043,859,140,608 would take you about thirteen billion, one hundred ninety-nine million, nine hundred eighty-one thousand, two hundred eighty-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 138378043859140608 cubic inches would be around 43103 feet tall.
Recreational maths with 138378043859140608
- 138378043859140608 backwards is 806041958340873831
- The number of decimal digits it has is: 18
- The sum of 138378043859140608's digits is 78
- More coming soon!
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"Number 138378043859140608 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138378043859140608 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138378043859140608/
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The information we have on file for 138378043859140608 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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