138071527851363438240
138,071,527,851,363,438,240 is an even composite number composed of six prime numbers multiplied together.
What does the number 138071527851363438240 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
138071527851363438240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138071527851363438240:
25 × 32 × 5 × 1512 × 9112 × 22512
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 151 × 151 × 911 × 911 × 2251 × 2251)See below for interesting mathematical facts about the number 138071527851363438240 from the Numbermatics database.
Names of 138071527851363438240
- Cardinal: 138071527851363438240 can be written as One hundred thirty-eight quintillion, seventy-one quadrillion, five hundred twenty-seven trillion, eight hundred fifty-one billion, three hundred sixty-three million, four hundred thirty-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3807152785136343824 × 1020
Factors of 138071527851363438240
Divisors of 138071527851363438240
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 151 160 180 240 288 302 360 453 480 604 720 755 906 911 1208 1359 1440 1510 1812 1822 2251 2265 2416 2718 2733 3020 3624 3644 4502 4530 4555 4832 5436 5466 6040 6753 6795 7248 7288 8199 9004 9060 9110 10872 10932 11255 12080 13506 13590 13665 14496 14576 16398 18008 18120 18220 20259 21744 21864 22510 22801 24160 27012 27180 27330 29152 32796 33765 36016 36240 36440 40518 40995 43488 43728 45020 45602 54024 54360 54660 65592 67530 68403 72032 72480 72880 81036 81990 87456 90040 91204 101295 108048 108720 109320 114005 131184 135060 136806 137561 145760 162072 163980 180080 182408 202590 205209 216096 217440 218640 228010 262368 270120 273612 275122 324144 327960 339901 342015 360160 364816 405180 410418 412683 437280 456020 540240 547224 550244 648288 655920 679802 684030 687805 729632 810360 820836 825366 829921 912040 1019703 1026045 1080480 1094448 1100488 1238049 1311840 1359604 1368060 1375610 1620720 1641672 1650732 1659842 1699505 1824080 2039406 2050661 2052090 2063415 2188896 2200976 2476098 2489763 2719208 2736120 2751220 3059109 3241440 3283344 3301464 3319684 3399010 3648160 4078812 4101322 4104180 4126830 4149605 4401952 4952196 4979526 5067001 5098515 5438416 5472240 5502440 6118218 6151983 6190245 6566688 6602928 6639368 6798020 7469289 8157624 8202644 8208360 8253660 8299210 9904392 9959052 10134002 10197030 10253305 10876832 10944480 11004880 12236436 12303966 12380490 12448815 13205856 13278736 13596040 14938578 15201003 15295545 16315248 16405288 16416720 16507320 16598420 18455949 19808784 19918104 20268004 20394060 20506610 20771711 22009760 24472872 24607932 24760980 24897630 25335005 26557472 27192080 29877156 30402006 30591090 30759915 32630496 32810576 32833440 33014640 33196840 36911898 37346445 39617568 39836208 40536008 40788120 41013220 41543422 45603009 48945744 49215864 49521960 49795260 50670010 51325051 54384160 59754312 60804012 61182180 61519830 62315133 65621152 66029280 66393680 73823796 74692890 76005015 79672416 81072016 81576240 82026440 83086844 91206018 92279745 97891488 98431728 99043920 99590520 101340020 102650102 103858555 119508624 121608024 122364360 123039660 124630266 125318071 132787360 147647592 149385780 152010030 153975153 162144032 163152480 164052880 166173688 182412036 184559490 186945399 196863456 198087840 199181040 202680040 205300204 207717110 228015045 239017248 243216048 244728720 246079320 249260532 250636142 256625255 295295184 298771560 304020060 307950306 309649811 311575665 328105760 332347376 364824072 369118980 373890798 375954213 398362080 405360080 410600408 415434220 456030090 461925459 486432096 489457440 492158640 498521064 501272284 513250510 590590368 597543120 608040120 615900612 619299622 623151330 626590355 664694752 729648144 738237960 747781596 751908426 765117151 769875765 810720160 821200816 830868440 912060180 923850918 928949433 934726995 984317280 997042128 1002544568 1026501020 1127862639 1195086240 1216080240 1231801224 1238599244 1246302660 1253180710 1459296288 1476475920 1495563192 1503816852 1530234302 1539751530 1548249055 1642401632 1661736880 1824120360 1847701836 1857898866 1868152171 1869453990 1879771065 1994084256 2005089136 2053002040 2255725278 2295351453 2309627295 2432160480 2463602448 2477198488 2492605320 2506361420 2786848299 2952951840 2991126384 3007633704 3060468604 3079503060 3096498110 3323473760 3648240720 3695403672 3715797732 3736304342 3738907980 3759542130 3825585755 4010178272 4106004080 4511450556 4590702906 4616037911 4619254590 4644747165 4927204896 4954396976 4985210640 5012722840 5573696598 5604456513 5639313195 5982252768 6015267408 6120937208 6159006120 6192996220 6886054359 7296481440 7390807344 7431595464 7472608684 7477815960 7519084260 7651171510 8212008160 9022901112 9181405812 9232075822 9238509180 9289494330 9340760855 9908793952 9970421280 10025445680 11147393196 11208913026 11278626390 11476757265 12030534816 12241874416 12318012240 12385992440 13772108718 13848113733 13934241495 14781614688 14863190928 14945217368 14955631920 15038168520 15302343020 16813369539 18045802224 18362811624 18464151644 18477018360 18578988660 18681521710 18923028721 20050891360 22294786392 22417826052 22557252780 22953514530 23080189555 24483748832 24636024480 24771984880 27544217436 27696227466 27868482990 28022282565 29726381856 29890434736 29911263840 30076337040 30604686040 33626739078 34430271795 36091604448 36725623248 36928303288 36954036720 37157977320 37363043420 37846057442 41544341199 44589572784 44835652104 45114505560 45907029060 46160379110 46757121461 49543969760 55088434872 55392454932 55736965980 56044565130 56769086163 59780869472 60152674080 61209372080 67253478156 68860543590 69240568665 73451246496 73856606576 73908073440 74315954640 74726086840 75692114884 83088682398 84066847695 89179145568 89671304208 90229011120 91814058120 92320758220 93514242922 94615143605 110176869744 110784909864 111473931960 112089130260 113538172326 115532689801 122418744160 134506956312 137721087180 138481137330 140271364383 147713213152 148631909280 149452173680 151384229768 166177364796 168133695390 170307258489 179342608416 180458022240 183628116240 184641516440 187028485844 189230287210 207721705995 220353739488 221569819728 222947863920 224178260520 227076344652 231065379602 233785607305 269013912624 275442174360 276962274660 280542728766 282090977821 283845430815 298904347360 302768459536 332354729592 336267390780 340614516978 346598069403 367256232480 369283032880 374056971688 378460574420 415443411990 420814093149 443139639456 445895727840 448356521040 454152689304 462130759204 467571214610 538027825248 550884348720 553924549320 561085457532 564181955642 567690861630 577663449005 605536919072 664709459184 672534781560 681229033956 693196138806 697021724561 701356821915 738566065760 748113943376 756921148840 830886823980 841628186298 846272933463 851536292445 896713042080 908305378608 924261518408 935142429220 1039794208209 1101768697440 1107849098640 1122170915064 1128363911284 1135381723260 1155326898010 1329418918368 1345069563120 1362458067912 1386392277612 1394043449122 1402713643830 1410454889105 1496227886752 1513842297680 1661773647960 1683256372596 1692545866926 1703072584890 1732990347015 1816610757216 1848523036816 1870284858440 2079588416418 2091065173683 2104070465745 2215698197280 2244341830128 2256727822568 2270763446520 2310653796020 2538818800389 2690139126240 2724916135824 2772784555224 2788086898244 2805427287660 2820909778210 3027684595360 3323547295920 3366512745192 3385091733852 3406145169780 3465980694030 3485108622805 3697046073632 3740569716880 4159176832836 4182130347366 4205210536921 4208140931490 4231364667315 4488683660256 4513455645136 4541526893040 4621307592040 5077637600778 5198971041045 5449832271648 5545569110448 5576173796488 5610854575320 5641819556420 6273195521049 6647094591840 6733025490384 6770183467704 6812290339560 6931961388060 6970217245610 7481139433760 8318353665672 8364260694732 8410421073842 8416281862980 8462729334630 9026911290272 9083053786080 9242615184080 10155275201556 10397942082090 10455325868415 11091138220896 11152347592976 11221709150640 11283639112840 12546391042098 12615631610763 12694094001945 13466050980768 13540366935408 13624580679120 13863922776120 13940434491220 16636707331344 16728521389464 16820842147684 16832563725960 16925458669260 18485230368160 20310550403112 20795884164180 20910651736830 21026052684605 22304695185952 22443418301280 22567278225680 25092782084196 25231263221526 25388188003890 27080733870816 27249161358240 27727845552240 27880868982440 31365977605245 33273414662688 33457042778928 33641684295368 33665127451920 33850917338520 37846894832289 40621100806224 41591768328360 41821303473660 42052105369210 42595737650971 45134556451360 50185564168392 50462526443052 50776376007780 55455691104480 55761737964880 62731955210490 63078158053815 66914085557856 67283368590736 67330254903840 67701834677040 75693789664578 81242201612448 83183536656720 83642606947320 84104210738420 85191475301942 100371128336784 100925052886104 101552752015560 105250280408711 111523475929760 125463910420980 126156316107630 127787212952913 134566737181472 135403669354080 151387579329156 166367073313440 167285213894640 168208421476840 170382950603884 189234474161445 200742256673568 201850105772208 203105504031120 210500560817422 212978688254855 250927820841960 252312632215260 255574425905826 302775158658312 315750841226133 334570427789280 336416842953680 340765901207768 378468948322890 383361638858739 403700211544416 406211008062240 421001121634844 425957376509710 501855641683920 504625264430520 511148851811652 526251402043555 605550317316624 631501682452266 634986791075071 638936064764565 672833685907360 681531802415536 756937896645780 766723277717478 842002243269688 851914753019420 947252523678399 1003711283367840 1009250528861040 1022297703623304 1052502804087110 1211100634633248 1263003364904532 1269973582150142 1277872129529130 1363063604831072 1513875793291560 1533446555434956 1578754206130665 1684004486539376 1703829506038840 1894505047356798 1904960373225213 1916808194293695 2018501057722080 2044595407246608 2105005608174220 2526006729809064 2539947164300284 2555744259058260 3027751586583120 3066893110869912 3157508412261330 3174933955375355 3368008973078752 3407659012077680 3789010094713596 3809920746450426 3833616388587390 4089190814493216 4210011216348440 4736262618391995 5052013459618128 5079894328600568 5111488518116520 5714881119675639 6055503173166240 6133786221739824 6315016824522660 6349867910750710 6815318024155360 7578020189427192 7619841492900852 7667232777174780 8420022432696880 9472525236783990 9524801866126065 10104026919236256 10159788657201136 10222977036233040 11429762239351278 12267572443479648 12630033649045320 12699735821501420 15156040378854384 15239682985801704 15334465554349560 16840044865393760 18945050473567980 19049603732252130 20319577314402272 20445954072466080 22859524478702556 25260067298090640 25399471643002840 28574405598378195 30312080757708768 30479365971603408 30668931108699120 37890100947135960 38099207464504260 45719048957405112 50520134596181280 50798943286005680 57148811196756390 60958731943206816 61337862217398240 75780201894271920 76198414929008520 91438097914810224 95883005452335721 101597886572011360 114297622393512780 151560403788543840 152396829858017040 182876195829620448 191766010904671442 228595244787025560 287649016357007163 304793659716034080 383532021809342884 457190489574051120 479415027261678605 575298032714014326 767064043618685768 862947049071021489 914380979148102240 958830054523357210 1150596065428028652 1438245081785035815 1534128087237371536 1725894098142042978 1917660109046714420 2301192130856057304 2876490163570071630 3068256174474743072 3451788196284085956 3835320218093428840 4314735245355107445 4602384261712114608 5752980327140143260 6903576392568171912 7670640436186857680 8629470490710214890 9204768523424229216 11505960654280286520 13807152785136343824 15341280872373715360 17258940981420429780 23011921308560573040 27614305570272687648 34517881962840859560 46023842617121146080 69035763925681719120 138071527851363438240
- Sum of all divisors σ(n): 475042333617499924458
- Sum of proper divisors (its aliquot sum) s(n): 336970805766136486218
- 138071527851363438240 is an abundant number, because the sum of its proper divisors (336970805766136486218) is greater than itself. Its abundance is 198899277914773047978
Bases of 138071527851363438240
- Binary: 11101111100001000001001101100001011111001111111100010001110101000002
- Hexadecimal: 0x77C209B0BE7F88EA0
- Base-36: T503JSKZAYJS0
Squares and roots of 138071527851363438240
- 138071527851363438240 squared (1380715278513634382402) is 19063746803209829624353688931834294297600
- 138071527851363438240 cubed (1380715278513634382403) is 2632160647690726701761879436055724171470902218348761780224000
-
The
square root of 138071527851363438240 is 11750384157.6079306599 -
The
cube root of 138071527851363438240 is 5168541.9262861507
Scales and comparisons
How big is 138071527851363438240?- 138,071,527,851,363,438,240 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,071,527,851,363,438,240 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 138071527851363438240 cubic inches would be around 430711.8 feet tall.
Recreational maths with 138071527851363438240
- 138071527851363438240 backwards is 042834363158725170831
- The number of decimal digits it has is: 21
- The sum of 138071527851363438240's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138071527851363438240 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 138071527851363438240 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138071527851363438240/
Chicago style:
Numbermatics. 2024. "Number 138071527851363438240 - Facts about the integer". https://numbermatics.com/n/138071527851363438240/
The information we have on file for 138071527851363438240 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 138071527851363438240, math, Factors of 138071527851363438240, curriculum, school, college, exams, university, Prime factorization of 138071527851363438240, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, seventy-one quadrillion, five hundred twenty-seven trillion, eight hundred fifty-one billion, three hundred sixty-three million, four hundred thirty-eight thousand, two hundred forty.