138238773893361893376
138,238,773,893,361,893,376 is an even composite number composed of three prime numbers multiplied together.
138238773893361893376 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one thousand, one hundred five divisors.
Prime factorization of 138238773893361893376:
216 × 312 × 2514
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 251 × 251 × 251 × 251)See below for interesting mathematical facts about the number 138238773893361893376 from the Numbermatics database.
Names of 138238773893361893376
- Cardinal: 138238773893361893376 can be written as One hundred thirty-eight quintillion, two hundred thirty-eight quadrillion, seven hundred seventy-three trillion, eight hundred ninety-three billion, three hundred sixty-one million, eight hundred ninety-three thousand, three hundred seventy-six.
Scientific notation
- Scientific notation: 1.38238773893361893376 × 1020
Factors of 138238773893361893376
Divisors of 138238773893361893376
- Number of divisors d(n): 1105
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 251 256 288 324 384 432 486 502 512 576 648 729 753 768 864 972 1004 1024 1152 1296 1458 1506 1536 1728 1944 2008 2048 2187 2259 2304 2592 2916 3012 3072 3456 3888 4016 4096 4374 4518 4608 5184 5832 6024 6144 6561 6777 6912 7776 8032 8192 8748 9036 9216 10368 11664 12048 12288 13122 13554 13824 15552 16064 16384 17496 18072 18432 19683 20331 20736 23328 24096 24576 26244 27108 27648 31104 32128 32768 34992 36144 36864 39366 40662 41472 46656 48192 49152 52488 54216 55296 59049 60993 62208 63001 64256 65536 69984 72288 73728 78732 81324 82944 93312 96384 98304 104976 108432 110592 118098 121986 124416 126002 128512 139968 144576 147456 157464 162648 165888 177147 182979 186624 189003 192768 196608 209952 216864 221184 236196 243972 248832 252004 257024 279936 289152 294912 314928 325296 331776 354294 365958 373248 378006 385536 419904 433728 442368 472392 487944 497664 504008 514048 531441 548937 559872 567009 578304 589824 629856 650592 663552 708588 731916 746496 756012 771072 839808 867456 884736 944784 975888 995328 1008016 1028096 1062882 1097874 1119744 1134018 1156608 1259712 1301184 1327104 1417176 1463832 1492992 1512024 1542144 1646811 1679616 1701027 1734912 1769472 1889568 1951776 1990656 2016032 2056192 2125764 2195748 2239488 2268036 2313216 2519424 2602368 2654208 2834352 2927664 2985984 3024048 3084288 3293622 3359232 3402054 3469824 3779136 3903552 3981312 4032064 4112384 4251528 4391496 4478976 4536072 4626432 4940433 5038848 5103081 5204736 5308416 5668704 5855328 5971968 6048096 6168576 6587244 6718464 6804108 6939648 7558272 7807104 7962624 8064128 8224768 8503056 8782992 8957952 9072144 9252864 9880866 10077696 10206162 10409472 11337408 11710656 11943936 12096192 12337152 13174488 13436928 13608216 13879296 14821299 15116544 15309243 15614208 15813251 15925248 16128256 16449536 17006112 17565984 17915904 18144288 18505728 19761732 20155392 20412324 20818944 22674816 23421312 23887872 24192384 24674304 26348976 26873856 27216432 27758592 29642598 30233088 30618486 31228416 31626502 32256512 34012224 35131968 35831808 36288576 37011456 39523464 40310784 40824648 41637888 44463897 45349632 45927729 46842624 47439753 47775744 48384768 49348608 52697952 53747712 54432864 55517184 59285196 60466176 61236972 62456832 63253004 64513024 68024448 70263936 71663616 72577152 74022912 79046928 80621568 81649296 83275776 88927794 90699264 91855458 93685248 94879506 96769536 105395904 107495424 108865728 111034368 118570392 120932352 122473944 124913664 126506008 129026048 133391691 136048896 137783187 140527872 142319259 143327232 145154304 148045824 158093856 161243136 163298592 166551552 177855588 181398528 183710916 187370496 189759012 193539072 210791808 214990848 217731456 222068736 237140784 241864704 244947888 249827328 253012016 258052096 266783382 272097792 275566374 281055744 284638518 290308608 316187712 322486272 326597184 333103104 355711176 362797056 367421832 374740992 379518024 387078144 413349561 421583616 426957777 429981696 435462912 444137472 474281568 483729408 489895776 499654656 506024032 516104192 533566764 544195584 551132748 562111488 569277036 580617216 632375424 644972544 653194368 666206208 711422352 725594112 734843664 749481984 759036048 774156288 826699122 843167232 853915554 870925824 948563136 967458816 979791552 999309312 1012048064 1032208384 1067133528 1088391168 1102265496 1124222976 1138554072 1161234432 1240048683 1264750848 1280873331 1289945088 1306388736 1332412416 1422844704 1451188224 1469687328 1498963968 1518072096 1548312576 1653398244 1686334464 1707831108 1741851648 1897126272 1934917632 1959583104 1998618624 2024096128 2064416768 2134267056 2176782336 2204530992 2248445952 2277108144 2322468864 2480097366 2529501696 2561746662 2612777472 2845689408 2902376448 2939374656 2997927936 3036144192 3096625152 3306796488 3372668928 3415662216 3483703296 3720146049 3794252544 3842619993 3869835264 3919166208 3969126001 3997237248 4048192256 4128833536 4268534112 4353564672 4409061984 4496891904 4554216288 4644937728 4960194732 5059003392 5123493324 5225554944 5691378816 5804752896 5878749312 5995855872 6072288384 6193250304 6613592976 6745337856 6831324432 6967406592 7440292098 7588505088 7685239986 7838332416 7938252002 8096384512 8537068224 8707129344 8818123968 8993783808 9108432576 9289875456 9920389464 10118006784 10246986648 10451109888 11160438147 11382757632 11527859979 11609505792 11757498624 11907378003 11991711744 12144576768 12386500608 13227185952 13490675712 13662648864 13934813184 14880584196 15177010176 15370479972 15676664832 15876504004 16192769024 17074136448 17414258688 17636247936 17987567616 18216865152 18579750912 19840778928 20236013568 20493973296 20902219776 22320876294 22765515264 23055719958 23514997248 23814756006 24289153536 26454371904 26981351424 27325297728 27869626368 29761168392 30354020352 30740959944 31353329664 31753008008 32385538048 33481314441 34148272896 34583579937 34828517376 35272495872 35722134009 35975135232 36433730304 37159501824 39681557856 40472027136 40987946592 41804439552 44641752588 45531030528 46111439916 47029994496 47629512012 48578307072 52908743808 53962702848 54650595456 55739252736 59522336784 60708040704 61481919888 62706659328 63506016016 64771076096 66962628882 68296545792 69167159874 70544991744 71444268018 72867460608 79363115712 80944054272 81975893184 83608879104 89283505176 91062061056 92222879832 94059988992 95259024024 97156614144 103750739811 105817487616 107166402027 107925405696 109301190912 111478505472 119044673568 121416081408 122963839776 125413318656 127012032032 129542152192 133925257764 136593091584 138334319748 141089983488 142888536036 145734921216 158726231424 161888108544 163951786368 167217758208 178567010352 182124122112 184445759664 188119977984 190518048048 194313228288 207501479622 211634975232 214332804054 218602381824 238089347136 242832162816 245927679552 250826637312 254024064064 259084304384 267850515528 273186183168 276668639496 282179966976 285777072072 291469842432 311252219433 317452462848 321499206081 323776217088 327903572736 334435516416 357134020704 364248244224 368891519328 376239955968 381036096096 388626456576 415002959244 423269950464 428665608108 437204763648 476178694272 485664325632 491855359104 501653274624 508048128128 518168608768 535701031056 546372366336 553337278992 564359933952 571554144144 582939684864 622504438866 634904925696 642998412162 655807145472 714268041408 728496488448 737783038656 752479911936 762072192192 777252913152 830005918488 846539900928 857331216216 874409527296 933756658299 952357388544 964497618243 971328651264 983710718208 1003306549248 1016096256256 1036337217536 1071402062112 1092744732672 1106674557984 1128719867904 1143108288288 1165879369728 1245008877732 1269809851392 1285996824324 1311614290944 1428536082816 1456992976896 1475566077312 1504959823872 1524144384384 1554505826304 1660011836976 1693079801856 1714662432432 1748819054592 1867513316598 1904714777088 1928995236486 1967421436416 2032192512512 2142804124224 2185489465344 2213349115968 2257439735808 2286216576576 2331758739456 2490017755464 2539619702784 2571993648648 2623228581888 2801269974897 2857072165632 2893492854729 2913985953792 2951132154624 3009919647744 3048288768768 3109011652608 3320023673952 3386159603712 3429324864864 3497638109184 3735026633196 3809429554176 3857990472972 3934842872832 4064385025024 4285608248448 4370978930688 4426698231936 4514879471616 4572433153152 4663517478912 4980035510928 5079239405568 5143987297296 5246457163776 5602539949794 5714144331264 5786985709458 5902264309248 6096577537536 6640047347904 6772319207424 6858649729728 6995276218368 7470053266392 7618859108352 7715980945944 7869685745664 8128770050048 8403809924691 8571216496896 8680478564187 8741957861376 8853396463872 9029758943232 9144866306304 9327034957824 9960071021856 10158478811136 10287974594592 10492914327552 11205079899588 11428288662528 11573971418916 11804528618496 12193155075072 13280094695808 13544638414848 13717299459456 13990552436736 14940106532784 15237718216704 15431961891888 15739371491328 16257540100096 16807619849382 17142432993792 17360957128374 17706792927744 18289732612608 19920142043712 20316957622272 20575949189184 20985828655104 22410159799176 22856577325056 23147942837832 23609057236992 24386310150144 26041435692561 26560189391616 27089276829696 27434598918912 27981104873472 29880213065568 30475436433408 30863923783776 31478742982656 32515080200192 33615239698764 34284865987584 34721914256748 35413585855488 36579465225216 39840284087424 40633915244544 41151898378368 41971657310208 44820319598352 45713154650112 46295885675664 47218114473984 48772620300288 52082871385122 53120378783232 54869197837824 59760426131136 60950872866816 61727847567552 62957485965312 65030160400384 67230479397528 68569731975168 69443828513496 70827171710976 73158930450432 78124307077683 79680568174848 81267830489088 82303796756736 83943314620416 89640639196704 91426309300224 92591771351328 94436228947968 97545240600576 104165742770244 106240757566464 109738395675648 119520852262272 121901745733632 123455695135104 125914971930624 130060320800768 134460958795056 137139463950336 138887657026992 141654343421952 146317860900864 156248614155366 159361136349696 164607593513472 179281278393408 182852618600448 185183542702656 188872457895936 195090481201152 208331485540488 212481515132928 219476791351296 234372921233049 239041704524544 243803491467264 246911390270208 251829943861248 260120641601536 268921917590112 274278927900672 277775314053984 283308686843904 292635721801728 312497228310732 318722272699392 329215187026944 358562556786816 365705237200896 370367085405312 377744915791872 390180962402304 416662971080976 424963030265856 438953582702592 468745842466098 478083409049088 493822780540416 537843835180224 548557855801344 555550628107968 566617373687808 585271443603456 624994456621464 637444545398784 658430374053888 703118763699147 717125113573632 731410474401792 740734170810624 755489831583744 780361924804608 833325942161952 849926060531712 877907165405184 937491684932196 956166818098176 987645561080832 1075687670360448 1097115711602688 1111101256215936 1133234747375616 1170542887206912 1249988913242928 1274889090797568 1316860748107776 1406237527398294 1434250227147264 1481468341621248 1666651884323904 1699852121063424 1755814330810368 1874983369864392 1912333636196352 1975291122161664 2109356291097441 2151375340720896 2194231423205376 2222202512431872 2266469494751232 2341085774413824 2499977826485856 2549778181595136 2633721496215552 2812475054796588 2868500454294528 2962936683242496 3333303768647808 3399704242126848 3511628661620736 3749966739728784 3824667272392704 3950582244323328 4218712582194882 4302750681441792 4444405024863744 4999955652971712 5099556363190272 5267442992431104 5624950109593176 5737000908589056 5925873366484992 6666607537295616 6799408484253696 7023257323241472 7499933479457568 7649334544785408 7901164488646656 8437425164389764 8605501362883584 8888810049727488 9999911305943424 10199112726380544 10534885984862208 11249900219186352 11474001817178112 11851746732969984 13333215074591232 14999866958915136 15298669089570816 15802328977293312 16874850328779528 17211002725767168 17777620099454976 19999822611886848 20398225452761088 21069771969724416 22499800438372704 22948003634356224 23703493465939968 26666430149182464 29999733917830272 30597338179141632 31604657954586624 33749700657559056 34422005451534336 35555240198909952 39999645223773696 44999600876745408 45896007268712448 47406986931879936 53332860298364928 59999467835660544 61194676358283264 63209315909173248 67499401315118112 68844010903068672 71110480397819904 79999290447547392 89999201753490816 91792014537424896 94813973863759872 106665720596729856 119998935671321088 134998802630236224 137688021806137344 142220960795639808 159998580895094784 179998403506981632 183584029074849792 189627947727519744 213331441193459712 239997871342642176 269997605260472448 275376043612274688 284441921591279616 319997161790189568 359996807013963264 426662882386919424 479995742685284352 539995210520944896 550752087224549376 568883843182559232 639994323580379136 719993614027926528 853325764773838848 959991485370568704 1079990421041889792 1279988647160758272 1439987228055853056 1706651529547677696 1919982970741137408 2159980842083779584 2559977294321516544 2879974456111706112 3839965941482274816 4319961684167559168 5119954588643033088 5759948912223412224 7679931882964549632 8639923368335118336 11519897824446824448 15359863765929099264 17279846736670236672 23039795648893648896 34559693473340473344 46079591297787297792 69119386946680946688 138238773893361893376
- Sum of all divisors σ(n): 416371749116682024655
- Sum of proper divisors (its aliquot sum) s(n): 278132975223320131279
- 138238773893361893376 is an abundant number, because the sum of its proper divisors (278132975223320131279) is greater than itself. Its abundance is 139894201329958237903
Bases of 138238773893361893376
- Binary: 11101111110011100101100100001101111100000110110000100000000000000002
- Hexadecimal: 0x77E72C86F83610000
- Base-36: T69UBKG000000
Squares and roots of 138238773893361893376
- 138238773893361893376 squared (1382387738933618933762) is 19109958607540033768605607832351592677376
- 138238773893361893376 cubed (1382387738933618933763) is 2641737247059231620519558224903956356837197120437760479461376
-
138238773893361893376 is a
perfect square number . Itssquare root is 11757498624 -
The
cube root of 138238773893361893376 is 5170627.9691871427
Scales and comparisons
How big is 138238773893361893376?- 138,238,773,893,361,893,376 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,238,773,893,361,893,376 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 138238773893361893376 cubic inches would be around 430885.7 feet tall.
Recreational maths with 138238773893361893376
- 138238773893361893376 backwards is 673398163398377832831
- 138238773893361893376 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138238773893361893376's digits is 108
- More coming soon!
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"Number 138238773893361893376 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 138238773893361893376 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138238773893361893376/
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The information we have on file for 138238773893361893376 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 138238773893361893376, math, Factors of 138238773893361893376, curriculum, school, college, exams, university, Prime factorization of 138238773893361893376, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, two hundred thirty-eight quadrillion, seven hundred seventy-three trillion, eight hundred ninety-three billion, three hundred sixty-one million, eight hundred ninety-three thousand, three hundred seventy-six.