138324235169352375
138,324,235,169,352,375 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138324235169352375 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
138324235169352375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138324235169352375:
33 × 53 × 115 × 13 × 19 × 1013
(3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 13 × 19 × 101 × 101 × 101)See below for interesting mathematical facts about the number 138324235169352375 from the Numbermatics database.
Names of 138324235169352375
- Cardinal: 138324235169352375 can be written as One hundred thirty-eight quadrillion, three hundred twenty-four trillion, two hundred thirty-five billion, one hundred sixty-nine million, three hundred fifty-two thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38324235169352375 × 1017
Factors of 138324235169352375
Divisors of 138324235169352375
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 3 5 9 11 13 15 19 25 27 33 39 45 55 57 65 75 95 99 101 117 121 125 135 143 165 171 195 209 225 247 275 285 297 303 325 351 363 375 429 475 495 505 513 585 605 627 675 715 741 825 855 909 975 1045 1089 1111 1125 1235 1287 1313 1331 1375 1425 1485 1515 1573 1625 1755 1815 1881 1919 2145 2223 2299 2375 2475 2525 2565 2717 2727 2925 3025 3135 3267 3333 3375 3575 3705 3861 3939 3993 4125 4275 4545 4719 4875 5225 5445 5555 5643 5757 6175 6435 6565 6655 6669 6897 7125 7425 7575 7865 8151 8775 9075 9405 9595 9999 10201 10725 11115 11495 11817 11979 12221 12375 12625 12825 13585 13635 14157 14443 14625 14641 15125 15675 16335 16665 17271 17303 17875 18525 19305 19695 19965 20691 21109 21375 22725 23595 24453 24947 25289 26125 27225 27775 28215 28785 29887 29997 30603 30875 32175 32825 33275 33345 34485 35451 35937 36663 37125 37875 39325 40755 42471 43329 43875 43923 45375 47025 47975 49995 51005 51813 51909 53625 55575 57475 59085 59895 61105 62073 63327 64125 67925 68175 70785 72215 73205 73359 74841 75867 78375 81675 83325 86355 86515 89661 91809 92625 96525 98475 99825 103455 105545 109989 112211 113625 117975 122265 124735 126445 129987 131769 132613 134431 136125 138875 141075 143925 149435 149985 153015 155727 158873 160875 161051 164125 166375 166725 172425 177255 179685 183315 189981 190333 193819 196625 203775 212355 216645 219615 224523 227601 232199 235125 239875 249975 255025 259065 259545 268983 274417 275427 277875 278179 287375 295425 299475 305525 310365 316635 328757 329967 336633 339625 340875 353925 361075 366025 366795 374205 379335 389961 395307 397839 403293 408375 416625 431775 432575 448305 459045 467181 476619 482625 483153 492375 499125 517275 527725 549945 561055 569943 570999 581457 589875 611325 623675 632225 649935 658845 663065 672155 673569 682803 696597 705375 719625 747175 749925 765075 778635 794365 805255 806949 823251 833625 834537 862125 886275 898425 916575 949905 951665 969095 986271 1009899 1018875 1030301 1061775 1083225 1098075 1122615 1138005 1160995 1193517 1209879 1234321 1249875 1275125 1295325 1297725 1344915 1372085 1377135 1390895 1429857 1449459 1458743 1477125 1478741 1497375 1527625 1551825 1583175 1643785 1649835 1683165 1712997 1744371 1747603 1769625 1805375 1830125 1833975 1871025 1896675 1949805 1976535 1989195 2016465 2089791 2093663 2132009 2158875 2162875 2241525 2295225 2335905 2383095 2415765 2469753 2503611 2519647 2554189 2586375 2638625 2749725 2805275 2849715 2854995 2907285 2958813 3018587 3029697 3056625 3059969 3090903 3118375 3161125 3249675 3294225 3315325 3360775 3367845 3414015 3482985 3580551 3616327 3629637 3702963 3735875 3749625 3825375 3893175 3971825 4026275 4034745 4116255 4172685 4289571 4348377 4376229 4431375 4436223 4492125 4582875 4749525 4758325 4845475 4931355 5049495 5138991 5151505 5233113 5242809 5308875 5416125 5490375 5613075 5690025 5804975 5967585 6049395 6171605 6269373 6280989 6396027 6476625 6488625 6724575 6860425 6885675 6954475 7149285 7247295 7293715 7393705 7409259 7510833 7558941 7662567 7759125 7915875 8218925 8249175 8415825 8564985 8721855 8738015 8876439 9055761 9169875 9179907 9272709 9355125 9483375 9749025 9882675 9945975 10082325 10448955 10468315 10660045 10848981 11108889 11207625 11333311 11476125 11679525 11915475 12078825 12348765 12518055 12598235 12770945 13128687 13308669 13393913 13577531 13748625 14026375 14248575 14274975 14536425 14794065 15092935 15148485 15299845 15454515 15728427 16046173 16248375 16266151 16471125 16576625 16803875 16839225 17070075 17414925 17902755 18081635 18148185 18514815 18842967 19188081 19223633 19465875 19575719 19859125 20131375 20173725 20581275 20863425 21447855 21741885 21881145 22181115 22676823 22987701 23452099 23747625 23791625 24227375 24656775 25247475 25694955 25757525 26165565 26214045 27167283 27539721 27716117 27818127 28065375 28096079 28450125 29024875 29837925 30246975 30858025 31346865 31404945 31980135 32546943 33204457 33326667 33622875 33999933 34302125 34428375 34772375 35746425 36236475 36468575 36968525 37046295 37554165 37794705 38312835 39386061 39779597 39926007 40181739 40732593 41094625 41245875 42079125 42824925 43609275 43690075 44382195 45278805 45899535 46363545 47185281 48138519 48745125 48798453 49413375 49729875 50411625 52244775 52341575 53300225 54244905 55544445 56528901 56666555 57564243 57670899 58397625 58727157 59577375 60394125 61743825 62590275 62991175 63854725 65643435 66543345 66969565 67887655 68030469 68963103 70356297 71242875 71374875 72682125 73970325 75464675 75742425 76499225 77272575 78642135 80230865 81330755 81501849 82619163 83148351 84196125 84288237 85350375 87074625 89513775 90408175 90740925 92574075 94214835 95940405 96118165 97640829 97878595 99613371 100868625 101999799 102906375 104317125 107239275 108709425 109405725 110905575 113384115 114938505 117260495 119338791 120545217 122197779 123283875 124666421 126237375 128474775 128787625 130827825 131070225 135836415 137698605 138580585 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1663583625 1674239125 1697191375 1700761725 1724077575 1758907425 1790081865 1808178255 1826245135 1832966685 1869996315 1903139667 1937996181 1941586933 1966053375 2005771625 2033268875 2037546225 2065479075 2078708775 2107205925 2166233355 2195930385 2209995645 2240292615 2290359123 2321757801 2355370875 2368661999 2398510125 2402954125 2441020725 2446964875 2490334275 2549994975 2595190455 2642722065 2647618545 2743895583 2781511821 2799327817 2834602875 2837703979 2873462625 2931512375 2983469775 3013630425 3054944475 3116660525 3166033365 3171899445 3229993635 3287241243 3353650157 3365993367 3395910375 3442465125 3464514625 3477265875 3512009875 3610388925 3659883975 3683326075 3733821025 3741675795 3792970665 3817265205 3869596335 3977992161 4017739297 4032526707 4068367875 4113991893 4150557125 4165833375 4249991625 4325317425 4404536775 4412697575 4482601695 4573159305 4635853035 4765713381 4861990419 4923257625 4928643753 4972449625 4990750875 5022717375 5091574125 5276722275 5286499075 5370245595 5383322725 5478735405 5609988945 5709419001 5813988543 5824760799 5898160125 6017314875 6099806625 6236126325 6321617775 6362108675 6449327225 6629986935 6720877845 6856653155 6871077369 6965273403 7066112625 7105985997 7195530375 7208862375 7340894625 7471002825 7621932175 7649984925 7726421725 7942855635 8103317365 8214406255 8231686749 8344535463 8397983451 8503808625 8513111937 8620387875 8794537125 8950409325 9040891275 9131225675 9164833425 9349981575 9515698335 9689980905 9707934665 9861723729 10060950471 10187731125 10327395375 10393543875 10536029625 10831166775 10979651925 11049978225 11201463075 11451795615 11608789005 11843309995 12053217891 12205103625 12341975679 12451671375 12749974875 12975952275 13213610325 13238092725 13719477915 13907559105 13996639085 14188519895 14585971257 14785931259 14917348875 15068152125 15084636941 15274722375 15583302625 15830166825 15859497225 16149968175 16436206215 16768250785 16829966835 17474282397 17827298203 18051944625 18299419875 18416630375 18669105125 18708378975 18964853325 19086326025 19347981675 19889960805 20088696485 20162633535 20569959465 21317957991 21357456263 21626587125 22022683875 22063487875 22413008475 22865796525 23179265175 23828566905 24309952095 24643218765 25193950353 25539335811 26055281989 26383611375 26432495375 26851227975 26916613625 27393677025 28049944725 28547095005 29069942715 29123803995 30182851413 30792605987 31180631625 31214743769 31608088875 31810543375 32246636125 33149934675 33604389225 34283265775 34355386845 34826367015 35529929985 36159653673 36890151727 37025927037 37355014125 38109660875 38249924625 38632108625 39714278175 40516586825 41072031275 41158433745 41722677315 41989917255 42565559685 43757913771 44357793777 44752046625 45204456375 45253910823 45656128375 45824167125 46749907875 47578491675 48449904525 48539673325 49308618645 50304752355 52422847191 53481894609 54155833875 54898259625 55249891125 56007315375 57258978075 58043945025 59216549975 60266089455 61709878395 63953873973 64072368789 64879761375 66068051625 66190463625 68597389575 69537795525 69983195425 70942599475 72929856285 73929656295 75423184705 75581851059 76618007433 78165845967 79150834125 79297486125 80749840875 82181031075 83841253925 84149834175 87371411985 89136491015 90548554239 92377817961 93541894875 93644231307 94824266625 95431630125 96739908375 99449804025 100443482425 100813167675 102849797325 106589789955 106787281315 108478961019 110670455181 112065042375 114328982625 115896325875 119142834525 121549760475 123216093825 125969751765 127696679055 130276409945 134256139875 135761732469 136968385125 140249723625 142735475025 145349713575 145619019975 150914257065 153963029935 156073718845 160445683827 165749673375 165931006351 168021946125 171416328875 171776934225 174131835075 177649649925 180798268365 184450758635 185129635185 192217106367 196100280233 198571390875 202582934125 205360156375 205792168725 208613386575 209949586275 212827798425 218789568855 221788968885 226269554115 234497537901 237892458375 242249522625 242698366625 246543093225 251523761775 262114235955 267409473045 277133453883 280932693921 286294890375 286608101879 290219725125 296082749875 301330447275 308549391975 319769369865 320361843945 332011365543 338718665857 342986947875 347688977625 349915977125 354712997375 364649281425 369648281475 377115923525 377909255295 383090037165 390829229835 405791668997 407285197407 410905155375 419206269625 420749170875 436857059925 445682455075 452742771195 461889089805 468221156535 481337051481 497249020125 497793019053 502217412125 504065838375 514248986625 532948949775 533936406575 542394805095 553352275905 576651319101 588300840699 595714172625 607748802375 616080469125 629848758825 638483395275 651382049725 678808662345 703492613703 713677375125 726748567875 728095099875 754571285325 769815149675 780368594225 802228419135 829655031755 831400361649 842798081763 858884671125 859824305637 870659175375 888248249625 903991341825 922253793175 925648175925 961085531835 980501401165 996034096629 1016155997571 1028960843625 1043066932875 1049747931375 1064138992125 1093947844275 1108944844425 1131347770575 1172487689505 1217375006991 1232715466125 1257618808875 1310571179775 1337047365225 1385667269415 1404663469605 1433040509395 1493379057159 1506652236375 1542746959875 1598846849325 1601809219725 1660056827715 1693593329285 1764902522097 1823246407125 1848241407375 1885579617625 1889546276475 1915450185825 1954146149175 2028958344985 2036425987035 2157103082563 2184285299625 2228412275375 2263713855975 2309445449025 2341105782675 2406685257405 2488965095265 2579472916911 2664744748875 2669682032875 2711974025475 2766761379525 2883256595505 2941504203495 3048467992713 3149243794125 3152689120669 3192416976375 3256910248625 3394043311725 3517463068515 3652125020973 3725905324427 3772856426625 3849075748375 3901842971125 4011142095675 4148275158775 4157001808245 4213990408815 4299121528185 4480137171477 4519956709125 4611268965875 4628240879625 4805427659175 4902507005825 4980170483145 5080779987855 5294707566291 5469739221375 5544724222125 5656738852875 5862438447525 6086875034955 6471309247689 6552855898875 6685236826125 6928336347075 7023317348025 7165202546975 7466895285795 7738418750733 7994234246625 8009046098625 8300284138575 8467966646425 8824512610485 9145403978139 9447731382375 9458067362007 9577250929125 9770730745875 10144791724925 10182129935175 10785515412815 10956375062919 11177715973281 11318569279875 11547227245125 11705528913375 12033426287025 12444825476325 12897364584555 13559870127375 13833806897625 14416282977525 14707521017475 15242339963565 15763445603345 16970216558625 17587315342575 18260625104865 18629526622135 19413927743067 20055710478375 20741375793875 20785009041225 21069952044075 21495607640925 22400685857385 24027138295875 24512535029125 24900852415725 25403899939275 26473537831455 28374202086021 29312192237625 30434375174775 32356546238445 33533147919843 34641681735375 35116586740125 35826012734875 37334476428975 38692093753665 40984958568697 41501420692875 42339833232125 44122563052425 45727019890695 47290336810035 50723958624625 50910649675875 53927577064075 54781875314595 55888579866405 58241783229201 60167131435125 62224127381625 64486822922775 72081414887625 73537605087375 76211699817825 78817228016725 85122606258063 87936576712875 91303125524325 93147633110675 97069638715335 100599443759529 103925045206125 105349760220375 107478038204625 112003429286925 122954875706091 124504262078625 127019499696375 132367689157275 141871010430105 152171875873875 161782731192225 167665739599215 186672382144875 193460468768325 204924792843485 220612815262125 228635099453475 236451684050175 269637885320375 273909376572975 279442899332025 291208916146005 322434114613875 368864627118273 381058499089125 394086140083625 425613031290315 456515627621625 465738165553375 485348193576675 502997218797645 560017146434625 614774378530455 661838445786375 709355052150525 808913655961125 838328697996075 967302343841625 1024623964217425 1106593881354819 1143175497267375 1182258420250875 1369546882864875 1397214496660125 1456044580730025 1844323135591365 2128065156451575 2426740967883375 2514986093988225 3073871892652275 3546775260752625 4191643489980375 5123119821087125 5532969406774095 7280222903650125 9221615677956825 10640325782257875 12574930469941125 15369359463261375 27664847033870475 46108078389784125 138324235169352375
- Sum of all divisors σ(n): 322094996013772800
- Sum of proper divisors (its aliquot sum) s(n): 183770760844420425
- 138324235169352375 is an abundant number, because the sum of its proper divisors (183770760844420425) is greater than itself. Its abundance is 45446525675068050
Bases of 138324235169352375
- Binary: 1111010110110110100101000101101010001100011001010101101112
- Hexadecimal: 0x1EB6D28B518CAB7
- Base-36: 11TZUKDTWZ3R
Squares and roots of 138324235169352375
- 138324235169352375 squared (1383242351693523752) is 19133594035186300463296476918140625
- 138324235169352375 cubed (1383242351693523753) is 2646639760958027686210264298819818270766670427734375
-
The
square root of 138324235169352375 is 371919662.2516109661 -
The
cube root of 138324235169352375 is 517169.3269517515
Scales and comparisons
How big is 138324235169352375?- 138,324,235,169,352,375 seconds is equal to 4,398,282,813 years, 22 weeks, 3 days, 17 hours, 26 minutes, 15 seconds.
-
To count from 1 to 138,324,235,169,352,375 would take you about thirteen billion, one hundred ninety-four million, eight hundred forty-eight thousand, four hundred forty 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 138324235169352375 cubic inches would be around 43097.4 feet tall.
Recreational maths with 138324235169352375
- 138324235169352375 backwards is 573253961532423831
- The number of decimal digits it has is: 18
- The sum of 138324235169352375's digits is 72
- More coming soon!
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"Number 138324235169352375 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 138324235169352375 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138324235169352375/
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The information we have on file for 138324235169352375 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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