13814234430964876800
13,814,234,430,964,876,800 is an even composite number composed of five prime numbers multiplied together.
13814234430964876800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13814234430964876800:
29 × 33 × 52 × 1483 × 26953299491
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 1483 × 26953299491)See below for interesting mathematical facts about the number 13814234430964876800 from the Numbermatics database.
Names of 13814234430964876800
- Cardinal: 13814234430964876800 can be written as Thirteen quintillion, eight hundred fourteen quadrillion, two hundred thirty-four trillion, four hundred thirty billion, nine hundred sixty-four million, eight hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.38142344309648768 × 1019
Factors of 13814234430964876800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 26953300984
Divisors of 13814234430964876800
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 128 135 144 150 160 180 192 200 216 225 240 256 270 288 300 320 360 384 400 432 450 480 512 540 576 600 640 675 720 768 800 864 900 960 1080 1152 1200 1280 1350 1440 1483 1536 1600 1728 1800 1920 2160 2304 2400 2560 2700 2880 2966 3200 3456 3600 3840 4320 4449 4608 4800 5400 5760 5932 6400 6912 7200 7415 7680 8640 8898 9600 10800 11520 11864 12800 13347 13824 14400 14830 17280 17796 19200 21600 22245 23040 23728 26694 28800 29660 34560 35592 37075 38400 40041 43200 44490 47456 53388 57600 59320 66735 69120 71184 74150 80082 86400 88980 94912 106776 111225 115200 118640 133470 142368 148300 160164 172800 177960 189824 200205 213552 222450 237280 266940 284736 296600 320328 333675 345600 355920 379648 400410 427104 444900 474560 533880 569472 593200 640656 667350 711840 759296 800820 854208 889800 949120 1001025 1067760 1138944 1186400 1281312 1334700 1423680 1601640 1708416 1779600 1898240 2002050 2135520 2277888 2372800 2562624 2669400 2847360 3203280 3416832 3559200 3796480 4004100 4271040 4745600 5125248 5338800 5694720 6406560 6833664 7118400 8008200 8542080 9491200 10250496 10677600 11389440 12813120 14236800 16016400 17084160 18982400 20500992 21355200 25626240 28473600 32032800 34168320 42710400 51252480 56947200 64065600 85420800 102504960 128131200 170841600 256262400 512524800 26953299491 53906598982 80859898473 107813197964 134766497455 161719796946 215626395928 242579695419 269532994910 323439593892 404299492365 431252791856 485159390838 539065989820 646879187784 673832487275 727739086257 808598984730 862505583712 970318781676 1078131979640 1212898477095 1293758375568 1347664974550 1455478172514 1617197969460 1725011167424 1940637563352 2021497461825 2156263959280 2425796954190 2587516751136 2695329949100 2910956345028 3234395938920 3450022334848 3638695431285 3881275126704 4042994923650 4312527918560 4851593908380 5175033502272 5390659898200 5821912690056 6064492385475 6468791877840 6900044669696 7277390862570 7762550253408 8085989847300 8625055837120 9703187816760 10350067004544 10781319796400 11643825380112 12128984770950 12937583755680 13800089339392 14554781725140 15525100506816 16171979694600 17250111674240 18193477156425 19406375633520 20700134009088 21562639592800 23287650760224 24257969541900 25875167511360 29109563450280 31050201013632 32343959389200 34500223348480 36386954312850 38812751267040 39971743145153 41400268018176 43125279185600 46575301520448 48515939083800 51750335022720 58219126900560 62100402027264 64687918778400 69000446696960 72773908625700 77625502534080 79943486290306 86250558371200 93150603040896 97031878167600 103500670045440 116438253801120 119915229435459 124200804054528 129375837556800 145547817251400 155251005068160 159886972580612 172501116742400 186301206081792 194063756335200 199858715725765 207001340090880 232876507602240 239830458870918 258751675113600 291095634502800 310502010136320 319773945161224 345002233484800 359745688306377 372602412163584 388127512670400 399717431451530 465753015204480 479660917741836 517503350227200 582191269005600 599576147177295 621004020272640 639547890322448 719491376612754 776255025340800 799434862903060 931506030408960 959321835483672 999293578628825 1035006700454400 1079237064919131 1164382538011200 1199152294354590 1279095780644896 1438982753225508 1552510050681600 1598869725806120 1798728441531885 1863012060817920 1918643670967344 1998587157257650 2158474129838262 2328765076022400 2398304588709180 2558191561289792 2877965506451016 2997880735886475 3105020101363200 3197739451612240 3597456883063770 3837287341934688 3997174314515300 4316948259676524 4657530152044800 4796609177418360 5116383122579584 5396185324595655 5755931012902032 5995761471772950 6395478903224480 7194913766127540 7674574683869376 7994348629030600 8633896519353048 8993642207659425 9315060304089600 9593218354836720 10232766245159168 10792370649191310 11511862025804064 11991522943545900 12790957806448960 14389827532255080 15349149367738752 15988697258061200 17267793038706096 17987284415318850 19186436709673440 20465532490318336 21584741298382620 23023724051608128 23983045887091800 25581915612897920 26980926622978275 28779655064510160 30698298735477504 31977394516122400 34535586077412192 35974568830637700 38372873419346880 43169482596765240 46047448103216256 47966091774183600 51163831225795840 53961853245956550 57559310129020320 61396597470955008 63954789032244800 69071172154824384 71949137661275400 76745746838693760 86338965193530480 92094896206432512 95932183548367200 102327662451591680 107923706491913100 115118620258040640 127909578064489600 138142344309648768 143898275322550800 153491493677387520 172677930387060960 184189792412865024 191864367096734400 215847412983826200 230237240516081280 255819156128979200 276284688619297536 287796550645101600 306982987354775040 345355860774121920 383728734193468800 431694825967652400 460474481032162560 511638312257958400 552569377238595072 575593101290203200 690711721548243840 767457468386937600 863389651935304800 920948962064325120 1151186202580406400 1381423443096487680 1534914936773875200 1726779303870609600 2302372405160812800 2762846886192975360 3453558607741219200 4604744810321625600 6907117215482438400 13814234430964876800
- Sum of all divisors σ(n): 50739146415842290560
- Sum of proper divisors (its aliquot sum) s(n): 36924911984877413760
- 13814234430964876800 is an abundant number, because the sum of its proper divisors (36924911984877413760) is greater than itself. Its abundance is 23110677553912536960
Bases of 13814234430964876800
- Binary: 10111111101101100000010100000110001001011010000111000110000000002
- Hexadecimal: 0xBFB6050625A1C600
- Base-36: 2WYCHEVOH4LC0
Squares and roots of 13814234430964876800
- 13814234430964876800 squared (138142344309648768002) is 190833072913655493523467435239178240000
- 13814234430964876800 cubed (138142344309648768003) is 2636212806410650540517620445758195311732588734840832000000
-
The
square root of 13814234430964876800 is 3716750520.4095790643 -
The
cube root of 13814234430964876800 is 2399434.7297758351
Scales and comparisons
How big is 13814234430964876800?- 13,814,234,430,964,876,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,814,234,430,964,876,800 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 13814234430964876800 cubic inches would be around 199952.9 feet tall.
Recreational maths with 13814234430964876800
- 13814234430964876800 backwards is 00867846903443241831
- The number of decimal digits it has is: 20
- The sum of 13814234430964876800's digits is 81
- More coming soon!
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The information we have on file for 13814234430964876800 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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