138986309238817536
138,986,309,238,817,536 is an even composite number composed of four prime numbers multiplied together.
138986309238817536 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138986309238817536:
28 × 35 × 173 × 7693
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 17 × 17 × 17 × 769 × 769 × 769)See below for interesting mathematical facts about the number 138986309238817536 from the Numbermatics database.
Names of 138986309238817536
- Cardinal: 138986309238817536 can be written as One hundred thirty-eight quadrillion, nine hundred eighty-six trillion, three hundred nine billion, two hundred thirty-eight million, eight hundred seventeen thousand, five hundred thirty-six.
Scientific notation
- Scientific notation: 1.38986309238817536 × 1017
Factors of 138986309238817536
Divisors of 138986309238817536
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 243 256 272 288 289 306 324 384 408 432 459 486 544 576 578 612 648 768 769 816 864 867 918 972 1088 1152 1156 1224 1296 1377 1538 1632 1728 1734 1836 1944 2176 2304 2307 2312 2448 2592 2601 2754 3076 3264 3456 3468 3672 3888 4131 4352 4614 4624 4896 4913 5184 5202 5508 6152 6528 6912 6921 6936 7344 7776 7803 8262 9228 9248 9792 9826 10368 10404 11016 12304 13056 13073 13842 13872 14688 14739 15552 15606 16524 18456 18496 19584 19652 20736 20763 20808 22032 23409 24608 26146 27684 27744 29376 29478 31104 31212 33048 36912 36992 39168 39219 39304 41526 41616 44064 44217 46818 49216 52292 55368 55488 58752 58956 62208 62289 62424 66096 70227 73824 73984 78438 78608 83052 83232 88128 88434 93636 98432 104584 110736 110976 117504 117657 117912 124578 124848 132192 132651 140454 147648 156876 157216 166104 166464 176256 176868 186867 187272 196864 209168 221472 221952 222241 235314 235824 249156 249696 264384 265302 280908 295296 313752 314432 332208 332928 352512 352971 353736 373734 374544 397953 418336 442944 444482 470628 471648 498312 499392 528768 530604 561816 590592 591361 627504 628864 664416 665856 666723 705942 707472 747468 749088 795906 836672 885888 888964 941256 943296 996624 998784 1057536 1058913 1061208 1123632 1182722 1193859 1255008 1257728 1328832 1333446 1411884 1414944 1494936 1498176 1591812 1673344 1771776 1774083 1777928 1882512 1886592 1993248 1997568 2000169 2117826 2122416 2247264 2365444 2387718 2510016 2657664 2666892 2823768 2829888 2989872 2996352 3176739 3183624 3346688 3548166 3555856 3765024 3773184 3778097 3986496 4000338 4235652 4244832 4494528 4730888 4775436 5020032 5315328 5322249 5333784 5647536 5659776 5979744 5992704 6000507 6353478 6367248 7096332 7111712 7530048 7556194 7972992 8000676 8471304 8489664 8989056 9461776 9550872 10040064 10053137 10644498 10667568 11295072 11319552 11334291 11959488 12001014 12706956 12734496 14192664 14223424 15060096 15112388 15945984 15966747 16001352 16942608 16979328 17978112 18001521 18923552 19101744 20106274 21288996 21335136 22590144 22668582 23918976 24002028 25413912 25468992 28385328 28446848 30120192 30159411 30224776 31933494 32002704 33885216 33958656 34002873 36003042 37847104 38203488 40212548 42577992 42670272 45180288 45337164 47837952 47900241 48004056 50827824 50937984 54004563 56770656 56893696 60318822 60449552 63866988 64005408 67770432 68005746 72006084 75694208 76406976 80425096 85155984 85340544 90360576 90478233 90674328 95800482 96008112 101655648 101875968 102008619 108009126 113541312 120637644 120899104 127733976 128010816 135540864 136011492 143700723 144012168 151388416 152813952 160850192 170311968 170681088 170903329 180956466 181348656 191600964 192016224 203311296 204017238 216018252 227082624 241275288 241798208 255467952 256021632 271081728 271434699 272022984 287401446 288024336 305627904 306025857 321700384 340623936 341806658 361912932 362697312 383201928 384032448 406622592 408034476 432036504 454165248 454756609 482550576 483596416 510935904 512043264 512709987 542869398 544045968 574802892 576048672 612051714 643400768 681247872 683613316 723825864 725394624 766403856 768064896 813245184 814304097 816068952 864073008 909513218 918077571 965101152 967192832 1021871808 1025419974 1085738796 1088091936 1149605784 1152097344 1224103428 1286801536 1362495744 1364269827 1367226632 1447651728 1450789248 1532807712 1536129792 1538129961 1628608194 1632137904 1728146016 1819026436 1836155142 1930202304 2043743616 2050839948 2171477592 2176183872 2299211568 2304194688 2442912291 2448206856 2573603072 2728539654 2734453264 2895303456 2901578496 2905356593 3065615424 3076259922 3257216388 3264275808 3456292032 3638052872 3672310284 3860404608 4087487232 4092809481 4101679896 4342955184 4352367744 4598423136 4608389376 4614389883 4885824582 4896413712 5457079308 5468906528 5790606912 5810713186 6131230848 6152519844 6514432776 6528551616 6912584064 7276105744 7344620568 7720809216 7730862353 8185618962 8203359792 8685910368 8704735488 8716069779 9196846272 9228779766 9771649164 9792827424 10914158616 10937813056 11581213824 11621426372 12262461696 12278428443 12305039688 13028865552 13057103232 13825168128 13843169649 14552211488 14689241136 15461724706 16371237924 16406719584 17371820736 17432139558 18393692544 18457559532 19543298328 19585654848 21828317232 21875626112 23162427648 23192587059 23242852744 24556856886 24610079376 26057731104 26114206464 26148209337 27686339298 29104422976 29378482272 30923449412 32742475848 32813439168 34743641472 34864279116 36787385088 36835285329 36915119064 39086596656 39171309696 41529508947 43656634464 43751252224 46385174118 46485705488 49113713772 49220158752 52115462208 52296418674 55372678596 58208845952 58756964544 61846898824 65484951696 65626878336 69487282944 69577761177 69728558232 73670570658 73830238128 78173193312 78342619392 78444628011 83059017894 87313268928 92770348236 92971410976 98227427544 98440317504 104230924416 104592837348 110505855987 110745357192 116417691904 117513929088 123693797648 130969903392 131253756672 131424660001 139155522354 139457116464 147341141316 147660476256 156346386624 156889256022 166118035788 174626537856 185540696472 185942821952 196454855088 196880635008 208461848832 208733283531 209185674696 221011711974 221490714384 235027858176 235333884033 247387595296 261939806784 262849320002 278311044708 278914232928 294682282632 295320952512 312692773248 313778512044 332236071576 349253075712 371081392944 371885643904 392909710176 393761270016 394273980003 417466567062 418371349392 442023423948 442981428768 470667768066 494775190592 523879613568 525698640004 556622089416 557828465856 589364565264 590641905024 625385546496 626199850593 627557024088 664472143152 706001652099 742162785888 743771287808 785819420352 788547960006 834933134124 836742698784 884046847896 885962857536 941335536132 989550381184 1047759227136 1051397280008 1113244178832 1115656931712 1178729130528 1181283810048 1182821940009 1252399701186 1255114048176 1328944286304 1412003304198 1484325571776 1571638840704 1577095920012 1669866268248 1673485397568 1768093695792 1771925715072 1878599551779 1882671072264 1979100762368 2102794560016 2226488357664 2231313863424 2234219220017 2357458261056 2365643880018 2504799402372 2510228096352 2657888572608 2824006608396 2968651143552 3143277681408 3154191840024 3339732536496 3346970795136 3536187391584 3543851430144 3548465820027 3757199103558 3765342144528 4205589120032 4452976715328 4468438440034 4714916522112 4731287760036 5009598804744 5020456192704 5315777145216 5648013216792 5937302287104 6308383680048 6679465072992 6693941590272 6702657660051 7072374783168 7096931640054 7514398207116 7530684289056 8411178240064 8905953430656 8936876880068 9429833044224 9462575520072 10019197609488 10040912385408 10631554290432 10645397460081 11296026433584 12616767360096 13358930145984 13405315320102 14144749566336 14193863280108 15028796414232 15061368578112 16822356480128 17811906861312 17873753760136 18925151040144 20038395218976 20081824770816 20107972980153 21290794920162 22592052867168 25233534720192 26717860291968 26810630640204 28289499132672 28387726560216 30057592828464 30122737156224 31936192380243 33644712960256 35747507520272 37850302080288 40076790437952 40215945960306 42581589840324 45184105734336 50467069440384 53435720583936 53621261280408 56775453120432 60115185656928 60245474312448 60323918940459 63872384760486 71495015040544 75700604160576 80153580875904 80431891920612 85163179680648 90368211468672 100934138880768 107242522560816 113550906240864 120230371313856 120647837880918 127744769520972 142990030081088 151401208321152 160307161751808 160863783841224 170326359361296 180736422937344 180971756821377 214485045121632 227101812481728 240460742627712 241295675761836 255489539041944 285980060162176 302802416642304 321727567682448 340652718722592 361943513642754 428970090243264 454203624963456 480921485255424 482591351523672 510979078083888 542915270464131 571960120324352 643455135364896 681305437445184 723887027285508 857940180486528 908407249926912 965182703047344 1021958156167776 1085830540928262 1286910270729792 1362610874890368 1447774054571016 1715880360973056 1930365406094688 2043916312335552 2171661081856524 2573820541459584 2725221749780736 2895548109142032 3860730812189376 4087832624671104 4343322163713048 5147641082919168 5791096218284064 7721461624378752 8175665249342208 8686644327426096 11582192436568128 15442923248757504 17373288654852192 23164384873136256 34746577309704384 46328769746272512 69493154619408768 138986309238817536
- Sum of all divisors σ(n): 442116706322491200
- Sum of proper divisors (its aliquot sum) s(n): 303130397083673664
- 138986309238817536 is an abundant number, because the sum of its proper divisors (303130397083673664) is greater than itself. Its abundance is 164144087844856128
Bases of 138986309238817536
- Binary: 1111011011100011101001111110101101101001010000011000000002
- Hexadecimal: 0x1EDC74FD6D28300
- Base-36: 120IJ90GMO00
Squares and roots of 138986309238817536
- 138986309238817536 squared (1389863092388175362) is 19317194155828216763263063501111296
- 138986309238817536 cubed (1389863092388175363) is 2684825520568219396706354758728456574393396972486656
-
The
square root of 138986309238817536 is 372808676.4532412757 -
The
cube root of 138986309238817536 is 517993.1390975937
Scales and comparisons
How big is 138986309238817536?- 138,986,309,238,817,536 seconds is equal to 4,419,334,720 years, 47 weeks, 3 days, 5 hours, 45 minutes, 36 seconds.
-
To count from 1 to 138,986,309,238,817,536 would take you about thirteen billion, two hundred fifty-eight million, four thousand, one hundred sixty-two 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 138986309238817536 cubic inches would be around 43166.1 feet tall.
Recreational maths with 138986309238817536
- 138986309238817536 backwards is 635718832903689831
- The number of decimal digits it has is: 18
- The sum of 138986309238817536's digits is 90
- More coming soon!
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The information we have on file for 138986309238817536 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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