13814725748232556800
13,814,725,748,232,556,800 is an even composite number composed of five prime numbers multiplied together.
13814725748232556800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 13814725748232556800:
28 × 33 × 52 × 229 × 349110609439
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 229 × 349110609439)See below for interesting mathematical facts about the number 13814725748232556800 from the Numbermatics database.
Names of 13814725748232556800
- Cardinal: 13814725748232556800 can be written as Thirteen quintillion, eight hundred fourteen quadrillion, seven hundred twenty-five trillion, seven hundred forty-eight billion, two hundred thirty-two million, five hundred fifty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.38147257482325568 × 1019
Factors of 13814725748232556800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 349110609678
Divisors of 13814725748232556800
- Number of divisors d(n): 432
-
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 96 100 108 120 128 135 144 150 160 180 192 200 216 225 229 240 256 270 288 300 320 360 384 400 432 450 458 480 540 576 600 640 675 687 720 768 800 864 900 916 960 1080 1145 1152 1200 1280 1350 1374 1440 1600 1728 1800 1832 1920 2061 2160 2290 2304 2400 2700 2748 2880 3200 3435 3456 3600 3664 3840 4122 4320 4580 4800 5400 5496 5725 5760 6183 6400 6870 6912 7200 7328 8244 8640 9160 9600 10305 10800 10992 11450 11520 12366 13740 14400 14656 16488 17175 17280 18320 19200 20610 21600 21984 22900 24732 27480 28800 29312 30915 32976 34350 34560 36640 41220 43200 43968 45800 49464 51525 54960 57600 58624 61830 65952 68700 73280 82440 86400 87936 91600 98928 103050 109920 123660 131904 137400 146560 154575 164880 172800 175872 183200 197856 206100 219840 247320 263808 274800 293120 309150 329760 366400 395712 412200 439680 494640 527616 549600 618300 659520 732800 791424 824400 879360 989280 1099200 1236600 1319040 1465600 1582848 1648800 1978560 2198400 2473200 2638080 3297600 3957120 4396800 4946400 6595200 7914240 9892800 13190400 19785600 39571200 349110609439 698221218878 1047331828317 1396442437756 1745553047195 2094663656634 2792884875512 3141995484951 3491106094390 4189327313268 5236659141585 5585769751024 6283990969902 6982212188780 8378654626536 8727765235975 9425986454853 10473318283170 11171539502048 12567981939804 13964424377560 15709977424755 16757309253072 17455530471950 18851972909706 20946636566340 22343079004096 25135963879608 26183295707925 27928848755120 31419954849510 33514618506144 34911060943900 37703945819412 41893273132680 44686158008192 47129932274265 50271927759216 52366591415850 55857697510240 62839909699020 67029237012288 69822121887800 75407891638824 78549887123775 79946329561531 83786546265360 89372316016384 94259864548530 100543855518432 104733182831700 111715395020480 125679819398040 134058474024576 139644243775600 150815783277648 157099774247550 159892659123062 167573092530720 188519729097060 201087711036864 209466365663400 223430790040960 235649661371325 239838988684593 251359638796080 268116948049152 279288487551200 301631566555296 314199548495100 319785318246124 335146185061440 377039458194120 399731647807655 402175422073728 418932731326800 446861580081920 471299322742650 479677977369186 502719277592160 558576975102400 603263133110592 628399096990200 639570636492248 670292370122880 719516966053779 754078916388240 799463295615310 804350844147456 837865462653600 942598645485300 959355954738372 1005438555184320 1117153950204800 1199194943422965 1206526266221184 1256798193980400 1279141272984496 1340584740245760 1439033932107558 1508157832776480 1598926591230620 1675730925307200 1885197290970600 1918711909476744 1998658239038275 2010877110368640 2158550898161337 2234307900409600 2398389886845930 2413052532442368 2513596387960800 2558282545968992 2878067864215116 3016315665552960 3197853182461240 3351461850614400 3597584830268895 3770394581941200 3837423818953488 3997316478076550 4021754220737280 4317101796322674 4796779773691860 5027192775921600 5116565091937984 5756135728430232 5995974717114825 6032631331105920 6395706364922480 6702923701228800 7195169660537790 7540789163882400 7674847637906976 7994632956153100 8634203592645348 9593559547383720 10054385551843200 10233130183875968 10792754490806685 11512271456860464 11991949434229650 12065262662211840 12791412729844960 14390339321075580 15081578327764800 15349695275813952 15989265912306200 17268407185290696 17987924151344475 19187119094767440 20108771103686400 20466260367751936 21585508981613370 23024542913720928 23983898868459300 25582825459689920 28780678642151160 30163156655529600 30699390551627904 31978531824612400 34536814370581392 35975848302688950 38374238189534880 43171017963226740 46049085827441856 47967797736918600 51165650919379840 53963772454033425 57561357284302320 60326313311059200 61398781103255808 63957063649224800 69073628741162784 71951696605377900 76748476379069760 86342035926453480 92098171654883712 95935595473837200 102331301838759680 107927544908066850 115122714568604640 127914127298449600 138147257482325568 143903393210755800 153496952758139520 172684071852906960 184196343309767424 191871190947674400 215855089816133700 230245429137209280 255828254596899200 276294514964651136 287806786421511600 306993905516279040 345368143705813920 383742381895348800 431710179632267400 460490858274418560 511656509193798400 552589029929302272 575613572843023200 690736287411627840 767484763790697600 863420359264534800 920981716548837120 1151227145686046400 1381472574823255680 1534969527581395200 1726840718529069600 2302454291372092800 2762945149646511360 3453681437058139200 4604908582744185600 6907362874116278400 13814725748232556800
- Sum of all divisors σ(n): 50878402710079168000
- Sum of proper divisors (its aliquot sum) s(n): 37063676961846611200
- 13814725748232556800 is an abundant number, because the sum of its proper divisors (37063676961846611200) is greater than itself. Its abundance is 23248951213614054400
Bases of 13814725748232556800
- Binary: 10111111101101111100001111011111110111001101100000010001000000002
- Hexadecimal: 0xBFB7C3DFDCD81100
- Base-36: 2WYHBKJPSV9C0
Squares and roots of 13814725748232556800
- 13814725748232556800 squared (138147257482325568002) is 190846647498879576329719055465226240000
- 13814725748232556800 cubed (138147257482325568003) is 2636494095166634169906568610998296264811243045650432000000
-
The
square root of 13814725748232556800 is 3716816614.8241100435 -
The
cube root of 13814725748232556800 is 2399463.1755490581
Scales and comparisons
How big is 13814725748232556800?- 13,814,725,748,232,556,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,814,725,748,232,556,800 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 13814725748232556800 cubic inches would be around 199955.3 feet tall.
Recreational maths with 13814725748232556800
- 13814725748232556800 backwards is 00865523284752741831
- The number of decimal digits it has is: 20
- The sum of 13814725748232556800's digits is 81
- More coming soon!
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The information we have on file for 13814725748232556800 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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