13381656711032750400
13,381,656,711,032,750,400 is an even composite number composed of six prime numbers multiplied together.
13381656711032750400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 13381656711032750400:
26 × 33 × 52 × 13 × 12197 × 1953573527
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 12197 × 1953573527)See below for interesting mathematical facts about the number 13381656711032750400 from the Numbermatics database.
Names of 13381656711032750400
- Cardinal: 13381656711032750400 can be written as Thirteen quintillion, three hundred eighty-one quadrillion, six hundred fifty-six trillion, seven hundred eleven billion, thirty-two million, seven hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.33816567110327504 × 1019
Factors of 13381656711032750400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 1953585747
Divisors of 13381656711032750400
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 117 120 130 135 144 150 156 160 180 192 195 200 208 216 225 234 240 260 270 288 300 312 320 325 351 360 390 400 416 432 450 468 480 520 540 576 585 600 624 650 675 702 720 780 800 832 864 900 936 960 975 1040 1080 1170 1200 1248 1300 1350 1404 1440 1560 1600 1728 1755 1800 1872 1950 2080 2160 2340 2400 2496 2600 2700 2808 2880 2925 3120 3510 3600 3744 3900 4160 4320 4680 4800 5200 5400 5616 5850 6240 7020 7200 7488 7800 8640 8775 9360 10400 10800 11232 11700 12197 12480 14040 14400 15600 17550 18720 20800 21600 22464 23400 24394 28080 31200 35100 36591 37440 43200 46800 48788 56160 60985 62400 70200 73182 93600 97576 109773 112320 121970 140400 146364 158561 182955 187200 195152 219546 243940 280800 292728 304925 317122 329319 365910 390304 439092 475683 487880 548865 561600 585456 609850 634244 658638 731820 780608 792805 878184 914775 951366 975760 1097730 1170912 1219700 1268488 1317276 1427049 1463640 1585610 1646595 1756368 1829550 1902732 1951520 2195460 2341824 2378415 2439400 2536976 2634552 2744325 2854098 2927280 3171220 3293190 3512736 3659100 3805464 3903040 3964025 4281147 4390920 4756830 4878800 5073952 5269104 5488650 5708196 5854560 6342440 6586380 7025472 7135245 7318200 7610928 7928050 8232975 8562294 8781840 9513660 9757600 10147904 10538208 10977300 11416392 11709120 11892075 12684880 13172760 14270490 14636400 15221856 15856100 16465950 17124588 17563680 19027320 19515200 21076416 21405735 21954600 22832784 23784150 25369760 26345520 28540980 29272800 30443712 31712200 32931900 34249176 35127360 35676225 38054640 42811470 43909200 45665568 47568300 50739520 52691040 57081960 58545600 63424400 65863800 68498352 71352450 76109280 85622940 87818400 91331136 95136600 105382080 107028675 114163920 126848800 131727600 136996704 142704900 152218560 171245880 175636800 190273200 214057350 228327840 253697600 263455200 273993408 285409800 342491760 380546400 428114700 456655680 526910400 570819600 684983520 761092800 856229400 1141639200 1369967040 1712458800 1953573527 2283278400 3424917600 3907147054 5860720581 6849835200 7814294108 9767867635 11721441162 15628588216 17582161743 19535735270 23442882324 25396455851 29303602905 31257176432 35164323486 39071470540 46885764648 48839338175 50792911702 52746485229 58607205810 62514352864 70328646972 76189367553 78142941080 87910808715 93771529296 97678676350 101585823404 105492970458 117214411620 125028705728 126982279255 140657293944 146518014525 152378735106 156285882160 175821617430 187543058592 195357352700 203171646808 210985940916 228568102659 234428823240 253964558510 263732426145 281314587888 293036029050 304757470212 312571764320 351643234860 375086117184 380946837765 390714705400 406343293616 421971881832 439554043575 457136205318 468857646480 507929117020 527464852290 562629175776 586072058100 609514940424 625143528640 634911396275 685704307977 703286469720 761893675530 781429410800 812686587232 843943763664 879108087150 914272410636 937715292960 1015858234040 1054929704580 1125258351552 1142840513295 1172144116200 1219029880848 1269822792550 1318662130725 1371408615954 1406572939440 1523787351060 1562858821600 1625373174464 1687887527328 1758216174300 1828544821272 1875430585920 1904734188825 2031716468080 2109859409160 2285681026590 2344288232400 2438059761696 2539645585100 2637324261450 2742817231908 2813145878880 3047574702120 3125717643200 3375775054656 3428521539885 3516432348600 3657089642544 3809468377650 4063432936160 4219718818320 4571362053180 4688576464800 4876119523392 5079291170200 5274648522900 5485634463816 5626291757760 5714202566475 6095149404240 6857043079770 7032864697200 7314179285088 7618936755300 8126865872320 8439437636640 9142724106360 9377152929600 10158582340400 10549297045800 10971268927632 11428405132950 12190298808480 13714086159540 14065729394400 14628358570176 15237873510600 16878875273280 17142607699425 18285448212720 20317164680800 21098594091600 21942537855264 22856810265900 23827736308819 24380597616960 27428172319080 28131458788800 30475747021200 34285215398850 36570896425440 40634329361600 42197188183200 43885075710528 45713620531800 47655472617638 54856344638160 60951494042400 68570430797700 71483208926457 73141792850880 84394376366400 91427241063600 95310945235276 109712689276320 119138681544095 121902988084800 137140861595400 142966417852914 182854482127200 190621890470552 214449626779371 219425378552640 238277363088190 274281723190800 285932835705828 309760572014647 357416044632285 365708964254400 381243780941104 428899253558742 476554726176380 548563446381600 571865671411656 595693407720475 619521144029294 643348880338113 714832089264570 762487561882208 857798507117484 929281716043941 953109452352760 1072248133896855 1097126892763200 1143731342823312 1191386815440950 1239042288058588 1286697760676226 1429664178529140 1524975123764416 1548802860073235 1715597014234968 1787080223161425 1858563432087882 1906218904705520 2144496267793710 2287462685646624 2382773630881900 2478084576117176 2573395521352452 2787845148131823 2859328357058280 3097605720146470 3216744401690565 3431194028469936 3574160446322850 3717126864175764 3812437809411040 4288992535587420 4574925371293248 4646408580219705 4765547261763800 4956169152234352 5146791042704904 5361240669484275 5575690296263646 5718656714116560 6195211440292940 6433488803381130 6862388056939872 7148320892645700 7434253728351528 7624875618822080 7744014300366175 8363535444395469 8577985071174840 9292817160439410 9531094523527600 9912338304468704 10293582085409808 10722481338968550 11151380592527292 11437313428233120 12390422880585880 12866977606762260 13724776113879744 13939225740659115 14296641785291400 14868507456703056 15488028600732350 16083722008452825 16727070888790938 17155970142349680 18585634320878820 19062189047055200 19824676608937408 20587164170819616 21444962677937100 22302761185054584 22874626856466240 23232042901098525 24780845761171760 25733955213524520 27878451481318230 28593283570582800 29737014913406112 30976057201464700 32167444016905650 33454141777581876 34311940284699360 37171268641757640 38124378094110400 41174328341639232 41817677221977345 42889925355874200 44605522370109168 46464085802197050 49561691522343520 51467910427049040 55756902962636460 57186567141165600 59474029826812224 61952114402929400 64334888033811300 66908283555163752 68623880569398720 69696128703295575 74342537283515280 83635354443954690 85779850711748400 89211044740218336 92928171604394100 99123383044687040 102935820854098080 111513805925272920 114373134282331200 123904228805858800 128669776067622600 133816567110327504 139392257406591150 148685074567030560 167270708887909380 171559701423496800 178422089480436672 185856343208788200 205871641708196160 209088386109886725 223027611850545840 247808457611717600 257339552135245200 267633134220655008 278784514813182300 297370149134061120 334541417775818760 343119402846993600 371712686417576400 418176772219773450 446055223701091680 495616915223435200 514679104270490400 535266268441310016 557569029626364600 669082835551637520 743425372835152800 836353544439546900 892110447402183360 1029358208540980800 1115138059252729200 1338165671103275040 1486850745670305600 1672707088879093800 2230276118505458400 2676331342206550080 3345414177758187600 4460552237010916800 6690828355516375200 13381656711032750400
- Sum of all divisors σ(n): 52537793904299047680
- Sum of proper divisors (its aliquot sum) s(n): 39156137193266297280
- 13381656711032750400 is an abundant number, because the sum of its proper divisors (39156137193266297280) is greater than itself. Its abundance is 25774480482233546880
Bases of 13381656711032750400
- Binary: 10111001101101010011000111100001001011110101010001000001010000002
- Hexadecimal: 0xB9B531E12F544140
- Base-36: 2TO15EQJVAHC0
Squares and roots of 13381656711032750400
- 13381656711032750400 squared (133816567110327504002) is 179068736331927846740896941388700160000
- 13381656711032750400 cubed (133816567110327504003) is 2396236357272296366650468203645376226820030245720064000000
-
The
square root of 13381656711032750400 is 3658094683.1694707243 -
The
cube root of 13381656711032750400 is 2374123.4341399143
Scales and comparisons
How big is 13381656711032750400?- 13,381,656,711,032,750,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,381,656,711,032,750,400 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 13381656711032750400 cubic inches would be around 197843.6 feet tall.
Recreational maths with 13381656711032750400
- 13381656711032750400 backwards is 00405723011765618331
- The number of decimal digits it has is: 20
- The sum of 13381656711032750400's digits is 63
- More coming soon!
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The information we have on file for 13381656711032750400 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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