138387763320545434624
138,387,763,320,545,434,624 is an even composite number composed of five prime numbers multiplied together.
138387763320545434624 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred ninety-four divisors.
Prime factorization of 138387763320545434624:
210 × 31 × 612 × 6012 × 18012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 31 × 61 × 61 × 601 × 601 × 1801 × 1801)See below for interesting mathematical facts about the number 138387763320545434624 from the Numbermatics database.
Names of 138387763320545434624
- Cardinal: 138387763320545434624 can be written as One hundred thirty-eight quintillion, three hundred eighty-seven quadrillion, seven hundred sixty-three trillion, three hundred twenty billion, five hundred forty-five million, four hundred thirty-four thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.38387763320545434624 × 1020
Factors of 138387763320545434624
Divisors of 138387763320545434624
- Number of divisors d(n): 594
-
Complete list of divisors:
1 2 4 8 16 31 32 61 62 64 122 124 128 244 248 256 488 496 512 601 976 992 1024 1202 1801 1891 1952 1984 2404 3602 3721 3782 3904 3968 4808 7204 7442 7564 7808 7936 9616 14408 14884 15128 15616 15872 18631 19232 28816 29768 30256 31232 31744 36661 37262 38464 55831 57632 59536 60512 62464 73322 74524 76928 109861 111662 115264 115351 119072 121024 146644 149048 153856 219722 223324 230528 230702 238144 242048 293288 298096 307712 361201 439444 446648 461056 461404 476288 484096 586576 596192 615424 722402 878888 893296 922112 922808 952576 968192 1082401 1136491 1173152 1192384 1444804 1757776 1786592 1844224 1845616 1905152 1936384 2164802 2236321 2272982 2346304 2384768 2889608 3243601 3405691 3515552 3573184 3691232 3810304 4329604 4472642 4545964 4692608 4769536 5779216 6487202 6701521 6811382 7031104 7146368 7382464 8659208 8945284 9091928 9385216 9539072 11197231 11558432 12974404 13403042 13622764 14062208 14292736 14764928 17318416 17890568 18183856 18770432 19078144 22033261 22394462 23116864 25948808 26806084 27245528 28124416 28585472 29529856 33554431 34636832 35781136 36367712 37540864 44066522 44788924 46233728 51897616 53612168 54491056 56248832 57170944 59059712 66026461 67108862 69273664 69325951 71562272 72735424 88133044 89577848 92467456 100551631 103795232 107224336 108982112 112497664 118119424 132052922 134217724 138547328 138651902 143124544 145470848 176266088 179155696 184934912 197859661 201103262 207590464 207747151 214448672 217964224 264105844 268435448 277094656 277303804 286249088 290941696 352532176 358311392 369869824 395719322 402206524 415180928 415494302 428897344 435928448 528211688 536870896 554189312 554607608 572498176 581883392 650523001 683031091 705064352 716622784 791438644 804413048 830361856 830988604 857794688 871856896 1056423376 1073741792 1108378624 1109215216 1144996352 1163766784 1301046002 1344028921 1366062182 1410128704 1433245568 1582877288 1608826096 1660723712 1661977208 1715589376 1743713792 1949404201 2046820291 2112846752 2147483584 2218430432 2289992704 2602092004 2688057842 2732124364 2820257408 2866491136 3165754576 3217652192 3321447424 3323954416 3431178752 3487427584 3898808402 4027614121 4093640582 4225693504 4294967168 4436860864 5204184008 5376115684 5464248728 5640514816 5732982272 6133649491 6331509152 6435304384 6647908832 6862357504 7797616804 8055228242 8187281164 8451387008 8589934336 8873721728 10408368016 10752231368 10928497456 11281029632 11465964544 12069439321 12267298982 12663018304 12870608768 13295817664 15595233608 16110456484 16374562328 16902774016 17179868672 17747443456 20166213031 20816736032 21504462736 21856994912 22562059264 24138878642 24534597964 25326036608 25741217536 26591635328 31190467216 32220912968 32749124656 33805548032 34359737344 35494886912 39681903061 40332426062 41633472064 41664896551 43008925472 43713989824 48277757284 49069195928 50652073216 51482435072 53183270656 60431530231 62380934432 64441825936 65498249312 67611096064 70989773824 79363806122 80664852124 83266944128 83329793102 86017850944 87427979648 96555514568 98138391856 101304146432 102964870144 106366541312 118913656261 120863060462 124761868864 124856037751 128883651872 130996498624 158727612244 161329704248 166533888256 166659586204 172035701888 174855959296 193111029136 196276783712 202608292864 212733082624 237827312522 241726120924 249523737728 249712075502 257767303744 261992997248 317455224488 322659408496 333067776512 333319172408 344071403776 349711918592 374152618951 386222058272 392553567424 475654625044 483452241848 499047475456 499424151004 515534607488 523985994496 634910448976 645318816992 666135553024 666638344816 688142807552 699423837184 748305237902 772444116544 785107134848 951309250088 966904483696 998094950912 998848302008 1031069214976 1047971988992 1171591924801 1230138994891 1269820897952 1290637633984 1333276689632 1376285615104 1496610475804 1544888233088 1570214269696 1902618500176 1933808967392 1996189901824 1997696604016 2062138429952 2095943977984 2343183849602 2420596086721 2460277989782 2539641795904 2581275267968 2666553379264 2993220951608 3089776466176 3140428539392 3686323344091 3805237000352 3867617934784 3995393208032 4124276859904 4686367699204 4841192173442 4920555979564 5079283591808 5162550535936 5333106758528 5986441903216 6179552932352 6280857078784 7253733031921 7372646688182 7610474000704 7735235869568 7990786416064 9372735398408 9682384346884 9841111959128 10158567183616 10325101071872 10666213517056 11972883806432 12359105864704 14507466063842 14745293376364 15220948001408 15470471739136 15981572832128 18745470796816 19364768693768 19682223918256 20317134367232 20650202143744 21332427034112 23945767612864 29014932127684 29490586752728 30441896002816 30940943478272 31963145664256 36319349668831 37490941593632 38729537387536 39364447836512 40634268734464 42664854068224 47891535225728 58029864255368 58981173505456 60883792005632 61881886956544 63926291328512 71467107412861 72638699337662 74981883187264 75038478688351 77459074775072 78728895673024 95783070451456 116059728510736 117962347010912 121767584011264 127852582657024 142934214825722 145277398675324 149963766374528 150076957376702 154918149550144 157457791346048 191566140902912 224865723989551 232119457021472 235924694021824 285868429651444 290554797350648 299927532749056 300153914753404 309836299100288 314915582692096 383132281805824 449731447979102 464238914042944 471849388043648 571736859302888 581109594701296 599855065498112 600307829506808 619672598200576 629831165384192 899462895958204 928477828085888 943698776087296 1143473718605776 1162219189402592 1199710130996224 1200615659013616 1239345196401152 1259662330768384 1798925791916408 1856955656171776 1887397552174592 2215480329798691 2286947437211552 2324438378805184 2401231318027232 2478690392802304 3597851583832816 3713911312343552 3774795104349184 4359493552184521 4430960659597382 4573894874423104 4648876757610368 4802462636054464 7195703167665632 7427822624687104 8718987104369042 8861921319194764 9147789748846208 9297753515220736 9604925272108928 14391406335331264 17437974208738084 17723842638389528 18295579497692416 18595507030441472 19209850544217856 28782812670662528 34875948417476168 35447685276779056 36591158995384832 37191014060882944 38419701088435712 57565625341325056 69751896834952336 70895370553558112 73182317990769664 76839402176871424 115131250682650112 135144300117720151 139503793669904672 141790741107116224 230262501365300224 270288600235440302 279007587339809344 283581482214232448 540577200470880604 558015174679618688 567162964428464896 1081154400941761208 1116030349359237376 1134325928856929792 2162308801883522416 2232060698718474752 2268651857713859584 4324617603767044832 4464121397436949504 8649235207534089664 17298470415068179328 34596940830136358656 69193881660272717312 138387763320545434624
- Sum of all divisors σ(n): 290967819299466105888
- Sum of proper divisors (its aliquot sum) s(n): 152580055978920671264
- 138387763320545434624 is an abundant number, because the sum of its proper divisors (152580055978920671264) is greater than itself. Its abundance is 14192292658375236640
Bases of 138387763320545434624
- Binary: 11110000000100001000001100110000111101111011111000101011100000000002
- Hexadecimal: 0x780841987BDF15C00
- Base-36: T7ELBWTYG2E4G
Squares and roots of 138387763320545434624
- 138387763320545434624 squared (1383877633205454346242) is 19151173036863300377705587882289058021376
- 138387763320545434624 cubed (1383877633205454346243) is 2650288001536249760728507972876591086597204677349523402522624
-
The
square root of 138387763320545434624 is 11763832849.9067613463 -
The
cube root of 138387763320545434624 is 5172484.8826115935
Scales and comparisons
How big is 138387763320545434624?- 138,387,763,320,545,434,624 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,387,763,320,545,434,624 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 138387763320545434624 cubic inches would be around 431040.4 feet tall.
Recreational maths with 138387763320545434624
- 138387763320545434624 backwards is 426434545023367783831
- The number of decimal digits it has is: 21
- The sum of 138387763320545434624's digits is 88
- More coming soon!
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The information we have on file for 138387763320545434624 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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