138364973234601750
138,364,973,234,601,750 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138364973234601750 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
138364973234601750 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138364973234601750:
2 × 32 × 53 × 7 × 132 × 31 × 271 × 6187681
(2 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 31 × 271 × 6187681)See below for interesting mathematical facts about the number 138364973234601750 from the Numbermatics database.
Names of 138364973234601750
- Cardinal: 138364973234601750 can be written as One hundred thirty-eight quadrillion, three hundred sixty-four trillion, nine hundred seventy-three billion, two hundred thirty-four million, six hundred one thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 1.3836497323460175 × 1017
Factors of 138364973234601750
Divisors of 138364973234601750
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 30 31 35 39 42 45 50 62 63 65 70 75 78 90 91 93 105 117 125 126 130 150 155 169 175 182 186 195 210 217 225 234 250 271 273 279 310 315 325 338 350 375 390 403 434 450 455 465 507 525 542 546 558 585 630 650 651 750 775 806 813 819 845 875 910 930 975 1014 1050 1085 1125 1170 1183 1209 1302 1355 1365 1395 1521 1550 1575 1625 1626 1638 1690 1750 1897 1950 1953 2015 2170 2250 2275 2325 2366 2418 2439 2535 2625 2710 2730 2790 2821 2925 3042 3150 3250 3255 3523 3549 3627 3794 3875 3906 4030 4065 4095 4225 4550 4650 4875 4878 5070 5239 5250 5425 5642 5691 5850 5915 6045 6510 6775 6825 6975 7046 7098 7254 7605 7750 7875 8130 8190 8401 8450 8463 9485 9750 9765 10075 10478 10569 10647 10850 11375 11382 11625 11830 12090 12195 12675 13550 13650 13950 14105 14625 15210 15717 15750 16275 16802 16926 17073 17615 17745 18135 18970 19530 20150 20325 20475 21125 21138 21294 22750 23250 24390 24661 25203 25350 25389 26195 27125 28210 28455 29250 29575 30225 31434 31707 32550 33875 34125 34146 34875 35230 35490 36270 36673 38025 40650 40950 42005 42250 42315 45799 47151 47425 48825 49322 50375 50406 50778 52390 52845 53235 54250 56910 58807 59150 60450 60975 63375 63414 67750 68250 69750 70525 73346 73983 75609 76050 78585 81375 84010 84630 85365 88075 88725 90675 91598 94302 94850 97650 100750 101625 102375 105690 106470 109213 110019 117614 121950 123305 126015 126750 126945 130975 137397 141050 142275 147875 147966 151125 151218 157170 158535 162750 170730 176150 176421 177450 181350 183365 190125 203250 204750 210025 211575 218426 220038 221949 228995 235755 237125 244125 246610 252030 253890 261950 264225 266175 274794 284550 294035 295750 302250 304875 317070 320593 327639 330057 352625 352842 366730 369915 378045 380250 392925 412191 420050 423150 426825 440375 443625 443898 453375 457990 471510 474250 488250 528450 529263 532350 546065 550095 588070 609750 616525 630075 634725 641186 654875 655278 660114 686985 705250 711375 739830 756090 764491 785850 792675 824382 853650 880750 882105 887250 906750 916825 961779 982917 1050125 1057875 1058526 1092130 1100190 1109745 1144975 1178775 1233050 1260150 1269450 1309750 1321125 1330875 1373970 1419769 1422750 1470175 1528982 1585350 1602965 1638195 1650285 1764210 1833650 1849575 1890225 1923558 1964625 1965834 2060955 2100250 2115750 2134125 2219490 2289950 2293473 2357550 2642250 2646315 2661750 2730325 2750475 2839538 2885337 2940350 3082625 3150375 3173625 3205930 3276390 3300570 3434925 3699150 3780450 3822455 3929250 3963375 4121910 4259307 4268250 4410525 4584125 4586946 4808895 4914585 5292630 5460650 5500950 5548725 5724875 5770674 5893875 6165250 6187681 6300750 6347250 6869850 6880419 7098845 7350875 7644910 7926750 8014825 8190975 8251425 8518614 8821050 9168250 9247875 9451125 9617790 9829170 9938383 10304775 11097450 11449750 11467365 11787750 12375362 12777921 13231575 13651625 13752375 13760838 14197690 14426685 14701750 16029650 16381950 16502850 17174625 18495750 18563043 18902250 19112275 19876766 20609550 21296535 22052625 22934730 24044475 24572925 25555842 26463150 27303250 27504750 27743625 28853370 29815149 30938405 34349250 34402095 35494225 37126086 38224550 40074125 40954875 41257125 42593070 43313767 44105250 48088950 49145850 49691915 51523875 55487250 55689129 57336825 59630298 61876810 63889605 66157875 68804190 70988450 72133425 80148250 80439853 81909750 82514250 86627534 89445447 92815215 95561375 99383830 103047750 106482675 111378258 114673650 120222375 122864625 127779210 129941301 132315750 144266850 149075745 154692025 160879706 172010475 177471125 178890894 185630430 191122750 191818111 212965350 216568835 240444750 241319559 245729250 248459575 259882602 278445645 286684125 298151490 309384050 319448025 344020950 354942250 360667125 383636222 389823903 402199265 433137670 447227235 464076075 482639118 496919150 532413375 556891290 563078971 573368250 575454333 638896050 649706505 721334250 723958677 745378725 773460125 779647806 804398530 860052375 894454470 928152150 959090555 1045718089 1064826750 1082844175 1126157942 1150908666 1206597795 1242297875 1299413010 1342726777 1392228225 1447917354 1490757450 1546920250 1597240125 1676861551 1689236913 1720104750 1726362999 1918181110 1949119515 2010996325 2091436178 2165688350 2236136175 2320380375 2413195590 2484595750 2493635443 2685453554 2784456450 2815394855 2877271665 3137154267 3194480250 3248532525 3353723102 3378473826 3452725998 3619793385 3726893625 3898239030 4021992650 4028180331 4472272350 4640760750 4795452775 4987270886 5030584653 5067710739 5228590445 5414220875 5630789710 5754543330 6032988975 6274308534 6497065050 6713633885 6961141125 7239586770 7320026623 7453787250 7480906329 8056360662 8384307755 8446184565 8631814995 9411462801 9590905550 9745597575 10054981625 10061169306 10135421478 10457180890 10828441750 11180680875 11738030857 12065977950 12084540993 12468177215 13427267770 13922282250 14076974275 14386358325 14640053246 14961812658 15091753959 15685771335 16242662625 16768615510 16892369130 17263629990 17455448101 18098966925 18822925602 19491195150 20109963250 20140901655 21799200163 21960079869 22361361750 22442718987 23476061714 23977263875 24169081986 24936354430 25152923265 25338553695 26142952225 28153948550 28772716650 30164944875 30183507918 31371542670 32417260759 32485325250 33568169425 34910896202 35214092571 36197933850 36600133115 37404531645 40281803310 41921538775 42230922825 43159074975 43598400326 43920159738 44885437974 47057314005 47954527750 48727987875 50305846530 50677107390 51982708081 52285904450 52366344303 58690154285 60329889750 60422704965 62340886075 64834521518 65397600489 65880239607 67136338850 70384871375 70428185142 71931791625 73200266230 74809063290 75458769795 78428856675 83843077550 84461845650 86318149950 87277240505 90494834625 94114628010 97251782277 97455975750 100704508275 103965416162 104732688606 105642277713 108996000815 109800399345 112213594935 117380308570 120845409930 124681772150 125764616325 126692768475 130714761125 130795200978 131760479214 140769742750 143863583250 150917539590 152594401141 155948124243 156857713350 157099032909 162086303795 167840847125 174554481010 176070462855 180989669250 183000665575 187022658225 194503564554 196192801467 201409016550 209607693875 211154614125 211284555426 215795374875 217992001630 219600798690 224427189870 226920825313 235286570025 251529232650 253385536950 259913540405 261429522250 261831721515 283389602119 291755346831 293450771425 302113524825 305188802282 311704430375 311896248486 314198065818 324172607590 326988002445 329401198035 335681694250 352140925710 363878956567 366001331150 374045316450 377293848975 392144283375 392385602934 419215387750 422309228250 431590749750 436386202525 453841650626 457783203423 467844372729 470573140050 486258911385 503522541375 519827080810 523663443030 528211388565 544980004075 549001996725 561067974675 566779204238 583510693662 586901542850 604227049650 623408860750 628823081625 633463842375 653976004890 658802396070 675775205053 680762475939 727757913134 754587697950 762972005705 779740621215 784288566750 785495164545 810431518975 850168806357 872772405050 880352314275 915003327875 915566406846 935113291125 935688745458 972517822770 980964007335 1007045082750 1056422777130 1089960008150 1091636869701 1098003993450 1122135949350 1134604126565 1176432850125 1257646163250 1266927684750 1299567702025 1309158607575 1351550410106 1361524951878 1373349610269 1416948010595 1458776734155 1467253857125 1510567624125 1525944011410 1559481242430 1570990329090 1620863037950 1634940012225 1647005990175 1700337612714 1760704628550 1819394782835 1830006655750 1870226582250 1886469244875 1961928014670 1983727214833 2027325615159 2042287427817 2181931012625 2183273739402 2269208253130 2288916017115 2339221863645 2352865700250 2431294556925 2550506419071 2599135404050 2618317215150 2641056942825 2724900020375 2745009983625 2746699220538 2805339873375 2833896021190 2917553468310 2934507714250 3021135248250 3269880024450 3274910609103 3294011980350 3378876025265 3403812379695 3638789565670 3772938489750 3814860028525 3898703106075 3927475822725 3967454429666 4052157594875 4054651230318 4084574855634 4250844031785 4363862025250 4401761571375 4577832034230 4678443727290 4730426435371 4862589113850 4904820036675 5101012838142 5282113885650 5449800040750 5458184348505 5490019967250 5610679746750 5673020632825 5951181644499 6081976845477 6497838510125 6545793037875 6549821218206 6757752050530 6807624759390 6866748051345 7084740052975 7293883670775 7629720057050 7797406212150 7854951645450 8104315189750 8174700061125 8235029950875 8501688063570 8785077665689 8803523142750 9096973914175 9460852870742 9809640073350 9918636074165 10136628075795 10211437139085 10916368697010 11346041265650 11444580085575 11696109318225 11902363288998 12156472784625 12163953690954 12752532095355 12995677020250 13091586075750 13205284714125 13733496102690 14169480105950 14191279306113 14587767341550 16349400122250 16374553045515 16470059901750 16894380126325 17019061898475 17570155331378 17853544933497 18193947828350 19074300142625 19493515530375 19637379113625 19837272148330 20273256151590 20422874278170 21254220158925 22889160171150 23392218636450 23652132176855 24312945569250 24524100183375 25505064190710 26355232997067 26410569428250 27290921742525 28365103164125 28382558612226 29755908222495 30409884227385 32749106091030 33788760252650 34038123796950 34333740256725 35423700264875 35707089866994 36469418353875 38148600285250 38987031060750 39274758227250 42508440317850 42573837918339 43925388328445 45484869570875 47304264353710 49048200366750 49593180370825 50683140378975 51057185695425 52710465994134 54581843485050 56730206328250 57222900427875 58480546591125 59511816444990 60819768454770 61495543659823 63762660476775 68667480513450 70847400529750 70956396530565 72938836707750 79065698991201 81872765227575 84471900631625 85095309492375 85147675836678 87850776656890 89267724667485 90969739141750 99186360741650 101366280757950 102114371390850 106271100794625 114445800855750 116961093182250 118260660884275 122991087319646 127525320953550 131776164985335 136454608712625 141912793061130 148779541112475 152049421136925 158131397982402 163745530455150 168943801263250 170190618984750 171668701283625 178535449334970 184486630979469 212542201589250 212869189591695 219626941642225 236521321768550 247965901854125 253415701894875 255285928477125 263552329970670 272909217425250 297559082224950 304098842273850 307477718299115 318813302383875 343337402567250 354781982652825 368973261958938 395328494956005 409363826137875 425738379183390 439253883284450 446338623337425 495931803708250 506831403789750 510571856954250 553459892938407 591303304421375 614955436598230 637626604767750 658880824926675 709563965305650 743897705562375 760247105684625 790656989912010 818727652275750 892677246674850 922433154897345 1064345947958475 1098134708211125 1106919785876814 1182606608842750 1317761649853350 1487795411124750 1520494211369250 1537388591495575 1773909913264125 1844866309794690 1976642474780025 2128691895916950 2196269416422250 2231693116687125 2767299464692035 3074777182991150 3294404124633375 3547819826528250 3953284949560050 4463386233374250 4612165774486725 5321729739792375 5534598929384070 6588808249266750 7686942957477875 9224331548973450 9883212373900125 10643459479584750 13836497323460175 15373885914955750 19766424747800250 23060828872433625 27672994646920350 46121657744867250 69182486617300875 138364973234601750
- Sum of all divisors σ(n): 479708209246076928
- Sum of proper divisors (its aliquot sum) s(n): 341343236011475178
- 138364973234601750 is an abundant number, because the sum of its proper divisors (341343236011475178) is greater than itself. Its abundance is 202978262776873428
Bases of 138364973234601750
- Binary: 1111010111001001000110101110001110000000100111111000101102
- Hexadecimal: 0x1EB9235C7013F16
- Base-36: 11UEAF6Y515I
Squares and roots of 138364973234601750
- 138364973234601750 squared (1383649732346017502) is 19144865818212058664043481103062500
- 138364973234601750 cubed (1383649732346017503) is 2648978846516953429792523167338515772682892859375000
-
The
square root of 138364973234601750 is 371974425.5114882895 -
The
cube root of 138364973234601750 is 517220.0927239161
Scales and comparisons
How big is 138364973234601750?- 138,364,973,234,601,750 seconds is equal to 4,399,578,157 years, 46 weeks, 4 days, 13 hours, 22 minutes, 30 seconds.
-
To count from 1 to 138,364,973,234,601,750 would take you about thirteen billion, one hundred ninety-eight million, seven hundred thirty-four thousand, four hundred seventy-three 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 138364973234601750 cubic inches would be around 43101.7 feet tall.
Recreational maths with 138364973234601750
- 138364973234601750 backwards is 057106432379463831
- The number of decimal digits it has is: 18
- The sum of 138364973234601750's digits is 72
- More coming soon!
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"Number 138364973234601750 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 138364973234601750 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/138364973234601750/
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The information we have on file for 138364973234601750 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 138364973234601750, math, Factors of 138364973234601750, curriculum, school, college, exams, university, Prime factorization of 138364973234601750, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred sixty-four trillion, nine hundred seventy-three billion, two hundred thirty-four million, six hundred one thousand, seven hundred fifty.