138742870427412987904
138,742,870,427,412,987,904 is an even composite number composed of three prime numbers multiplied together.
What does the number 138742870427412987904 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 777 divisors.
138742870427412987904 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seven hundred seventy-seven divisors.
Prime factorization of 138742870427412987904:
236 × 76 × 1312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 7 × 7 × 131 × 131)See below for interesting mathematical facts about the number 138742870427412987904 from the Numbermatics database.
Names of 138742870427412987904
- Cardinal: 138742870427412987904 can be written as One hundred thirty-eight quintillion, seven hundred forty-two quadrillion, eight hundred seventy trillion, four hundred twenty-seven billion, four hundred twelve million, nine hundred eighty-seven thousand, nine hundred four.
Scientific notation
- Scientific notation: 1.38742870427412987904 × 1020
Factors of 138742870427412987904
Divisors of 138742870427412987904
- Number of divisors d(n): 777
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 131 196 224 256 262 343 392 448 512 524 686 784 896 917 1024 1048 1372 1568 1792 1834 2048 2096 2401 2744 3136 3584 3668 4096 4192 4802 5488 6272 6419 7168 7336 8192 8384 9604 10976 12544 12838 14336 14672 16384 16768 16807 17161 19208 21952 25088 25676 28672 29344 32768 33536 33614 34322 38416 43904 44933 50176 51352 57344 58688 65536 67072 67228 68644 76832 87808 89866 100352 102704 114688 117376 117649 120127 131072 134144 134456 137288 153664 175616 179732 200704 205408 229376 234752 235298 240254 262144 268288 268912 274576 307328 314531 351232 359464 401408 410816 458752 469504 470596 480508 524288 536576 537824 549152 614656 629062 702464 718928 802816 821632 840889 917504 939008 941192 961016 1048576 1073152 1075648 1098304 1229312 1258124 1404928 1437856 1605632 1643264 1681778 1835008 1878016 1882384 1922032 2097152 2146304 2151296 2196608 2201717 2458624 2516248 2809856 2875712 3211264 3286528 3363556 3670016 3756032 3764768 3844064 4194304 4292608 4302592 4393216 4403434 4917248 5032496 5619712 5751424 5886223 6422528 6573056 6727112 7340032 7512064 7529536 7688128 8388608 8585216 8605184 8786432 8806868 9834496 10064992 11239424 11502848 11772446 12845056 13146112 13454224 14680064 15024128 15059072 15376256 15412019 16777216 17170432 17210368 17572864 17613736 19668992 20129984 22478848 23005696 23544892 25690112 26292224 26908448 29360128 30048256 30118144 30752512 30824038 33554432 34340864 34420736 35145728 35227472 39337984 40259968 41203561 44957696 46011392 47089784 51380224 52584448 53816896 58720256 60096512 60236288 61505024 61648076 67108864 68681728 68841472 70291456 70454944 78675968 80519936 82407122 89915392 92022784 94179568 102760448 105168896 107633792 117440512 120193024 120472576 123010048 123296152 134217728 137363456 137682944 140582912 140909888 157351936 161039872 164814244 179830784 184045568 188359136 205520896 210337792 215267584 234881024 240386048 240945152 246020096 246592304 268435456 274726912 275365888 281165824 281819776 288424927 314703872 322079744 329628488 359661568 368091136 376718272 411041792 420675584 430535168 469762048 480772096 481890304 492040192 493184608 536870912 549453824 550731776 562331648 563639552 576849854 629407744 644159488 659256976 719323136 736182272 753436544 822083584 841351168 861070336 939524096 961544192 963780608 984080384 986369216 1073741824 1098907648 1101463552 1124663296 1127279104 1153699708 1258815488 1288318976 1318513952 1438646272 1472364544 1506873088 1644167168 1682702336 1722140672 1879048192 1923088384 1927561216 1968160768 1972738432 2018974489 2147483648 2197815296 2202927104 2249326592 2254558208 2307399416 2517630976 2576637952 2637027904 2877292544 2944729088 3013746176 3288334336 3365404672 3444281344 3758096384 3846176768 3855122432 3936321536 3945476864 4037948978 4294967296 4395630592 4405854208 4498653184 4509116416 4614798832 5035261952 5153275904 5274055808 5754585088 5889458176 6027492352 6576668672 6730809344 6888562688 7516192768 7692353536 7710244864 7872643072 7890953728 8075897956 8589934592 8791261184 8811708416 8997306368 9018232832 9229597664 10070523904 10306551808 10548111616 11509170176 11778916352 12054984704 13153337344 13461618688 13777125376 15032385536 15384707072 15420489728 15745286144 15781907456 16151795912 17179869184 17582522368 17623416832 17994612736 18036465664 18459195328 20141047808 20613103616 21096223232 23018340352 23557832704 24109969408 26306674688 26923237376 27554250752 30064771072 30769414144 30840979456 31490572288 31563814912 32303591824 34359738368 35165044736 35246833664 35989225472 36072931328 36918390656 40282095616 41226207232 42192446464 46036680704 47115665408 48219938816 52613349376 53846474752 55108501504 60129542144 61538828288 61681958912 62981144576 63127629824 64607183648 68719476736 70330089472 70493667328 71978450944 72145862656 73836781312 80564191232 82452414464 84384892928 92073361408 94231330816 96439877632 105226698752 107692949504 110217003008 120259084288 123077656576 123363917824 125962289152 126255259648 129214367296 140660178944 140987334656 143956901888 144291725312 147673562624 161128382464 164904828928 168769785856 184146722816 188462661632 192879755264 210453397504 215385899008 220434006016 240518168576 246155313152 246727835648 251924578304 252510519296 258428734592 281320357888 281974669312 287913803776 288583450624 295347125248 322256764928 329809657856 337539571712 368293445632 376925323264 385759510528 420906795008 430771798016 440868012032 481036337152 492310626304 493455671296 503849156608 505021038592 516857469184 562640715776 563949338624 575827607552 577166901248 590694250496 644513529856 659619315712 675079143424 736586891264 753850646528 771519021056 841813590016 861543596032 881736024064 984621252608 986911342592 1007698313216 1010042077184 1033714938368 1125281431552 1127898677248 1151655215104 1154333802496 1181388500992 1289027059712 1319238631424 1350158286848 1473173782528 1507701293056 1543038042112 1683627180032 1723087192064 1763472048128 1969242505216 1973822685184 2015396626432 2020084154368 2067429876736 2250562863104 2255797354496 2303310430208 2308667604992 2362777001984 2578054119424 2638477262848 2700316573696 2946347565056 3015402586112 3086076084224 3367254360064 3446174384128 3526944096256 3938485010432 3947645370368 4030793252864 4040168308736 4134859753472 4501125726208 4511594708992 4606620860416 4617335209984 4725554003968 5156108238848 5276954525696 5400633147392 5892695130112 6030805172224 6172152168448 6892348768256 7053888192512 7876970020864 7895290740736 8061586505728 8080336617472 8269719506944 9002251452416 9023189417984 9213241720832 9234670419968 9451108007936 10312216477696 10553909051392 10801266294784 11785390260224 12061610344448 12344304336896 13784697536512 14107776385024 15753940041728 15790581481472 16123173011456 16160673234944 16539439013888 18046378835968 18426483441664 18469340839936 18902216015872 20624432955392 21107818102784 21602532589568 23570780520448 24123220688896 24688608673792 27569395073024 28215552770048 31507880083456 31581162962944 32246346022912 32321346469888 33078878027776 36092757671936 36852966883328 36938681679872 37804432031744 41248865910784 42215636205568 43205065179136 48246441377792 49377217347584 55138790146048 56431105540096 63015760166912 63162325925888 64492692045824 64642692939776 66157756055552 72185515343872 73705933766656 73877363359744 75608864063488 82497731821568 84431272411136 86410130358272 96492882755584 98754434695168 110277580292096 112862211080192 126324651851776 128985384091648 129285385879552 132315512111104 144371030687744 147411867533312 147754726719488 151217728126976 164995463643136 168862544822272 172820260716544 192985765511168 197508869390336 220555160584192 225724422160384 252649303703552 257970768183296 258570771759104 264631024222208 288742061375488 294823735066624 295509453438976 302435456253952 337725089644544 345640521433088 385971531022336 395017738780672 441110321168384 451448844320768 505298607407104 515941536366592 517141543518208 529262048444416 577484122750976 589647470133248 591018906877952 604870912507904 675450179289088 691281042866176 771943062044672 790035477561344 902897688641536 1010597214814208 1031883072733184 1034283087036416 1058524096888832 1154968245501952 1179294940266496 1182037813755904 1209741825015808 1350900358578176 1382562085732352 1543886124089344 1580070955122688 1805795377283072 2021194429628416 2063766145466368 2068566174072832 2117048193777664 2364075627511808 2419483650031616 2701800717156352 2765124171464704 3087772248178688 3160141910245376 3611590754566144 4042388859256832 4127532290932736 4137132348145664 4234096387555328 4728151255023616 4838967300063232 5403601434312704 5530248342929408 6320283820490752 7223181509132288 8084777718513664 8255064581865472 8274264696291328 8468192775110656 9456302510047232 9677934600126464 10807202868625408 11060496685858816 12640567640981504 14446363018264576 16548529392582656 16936385550221312 18912605020094464 19355869200252928 21614405737250816 22120993371717632 25281135281963008 28892726036529152 33097058785165312 33872771100442624 37825210040188928 38711738400505856 44241986743435264 50562270563926016 57785452073058304 66194117570330624 67745542200885248 75650420080377856 77423476801011712 88483973486870528 101124541127852032 132388235140661248 135491084401770496 151300840160755712 154846953602023424 176967946973741056 202249082255704064 264776470281322496 270982168803540992 309693907204046848 353935893947482112 404498164511408128 529552940562644992 541964337607081984 619387814408093696 707871787894964224 1059105881125289984 1083928675214163968 1238775628816187392 1415743575789928448 2167857350428327936 2477551257632374784 2831487151579856896 4335714700856655872 4955102515264749568 8671429401713311744 9910205030529499136 17342858803426623488 19820410061058998272 34685717606853246976 69371435213706493952 138742870427412987904
- Sum of all divisors σ(n): 326223079743588529771
- Sum of proper divisors (its aliquot sum) s(n): 187480209316175541867
- 138742870427412987904 is an abundant number, because the sum of its proper divisors (187480209316175541867) is greater than itself. Its abundance is 48737338888762553963
Bases of 138742870427412987904
- Binary: 11110000101011100011011000110010000000000000000000000000000000000002
- Hexadecimal: 0x78571B19000000000
- Base-36: TA3PUVIRF7KSG
Squares and roots of 138742870427412987904
- 138742870427412987904 squared (1387428704274129879042) is 19249584094437909416834351189024850313216
- 138742870427412987904 cubed (1387428704274129879043) is 2670742551796188843004645169809688472502353134398000819339264
-
138742870427412987904 is a
perfect square number . Itssquare root is 11778916352 -
The
cube root of 138742870427412987904 is 5176905.3536398409
Scales and comparisons
How big is 138742870427412987904?- 138,742,870,427,412,987,904 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,742,870,427,412,987,904 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 138742870427412987904 cubic inches would be around 431408.8 feet tall.
Recreational maths with 138742870427412987904
- 138742870427412987904 backwards is 409789214724078247831
- The number of decimal digits it has is: 21
- The sum of 138742870427412987904's digits is 97
- More coming soon!
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The information we have on file for 138742870427412987904 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 138742870427412987904, math, Factors of 138742870427412987904, curriculum, school, college, exams, university, Prime factorization of 138742870427412987904, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, seven hundred forty-two quadrillion, eight hundred seventy trillion, four hundred twenty-seven billion, four hundred twelve million, nine hundred eighty-seven thousand, nine hundred four.