56688307132986720
56,688,307,132,986,720 is an even composite number composed of five prime numbers multiplied together.
56688307132986720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 56688307132986720:
25 × 36 × 5 × 41 × 11853923503
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 41 × 11853923503)See below for interesting mathematical facts about the number 56688307132986720 from the Numbermatics database.
Names of 56688307132986720
- Cardinal: 56688307132986720 can be written as Fifty-six quadrillion, six hundred eighty-eight trillion, three hundred seven billion, one hundred thirty-two million, nine hundred eighty-six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 5.668830713298672 × 1016
Factors of 56688307132986720
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 11853923554
Divisors of 56688307132986720
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 41 45 48 54 60 72 80 81 82 90 96 108 120 123 135 144 160 162 164 180 205 216 240 243 246 270 288 324 328 360 369 405 410 432 480 486 492 540 615 648 656 720 729 738 810 820 864 972 984 1080 1107 1215 1230 1296 1312 1440 1458 1476 1620 1640 1845 1944 1968 2160 2214 2430 2460 2592 2916 2952 3240 3280 3321 3645 3690 3888 3936 4320 4428 4860 4920 5535 5832 5904 6480 6560 6642 7290 7380 7776 8856 9720 9840 9963 11070 11664 11808 12960 13284 14580 14760 16605 17712 19440 19680 19926 22140 23328 26568 29160 29520 29889 33210 35424 38880 39852 44280 49815 53136 58320 59040 59778 66420 79704 88560 99630 106272 116640 119556 132840 149445 159408 177120 199260 239112 265680 298890 318816 398520 478224 531360 597780 797040 956448 1195560 1594080 2391120 4782240 11853923503 23707847006 35561770509 47415694012 59269617515 71123541018 94831388024 106685311527 118539235030 142247082036 177808852545 189662776048 213370623054 237078470060 284494164072 320055934581 355617705090 379325552096 426741246108 474156940120 486010863623 533426557635 568988328144 640111869162 711235410180 853482492216 948313880240 960167803743 972021727246 1066853115270 1137976656288 1280223738324 1422470820360 1458032590869 1600279672905 1706964984432 1896627760480 1920335607486 1944043454492 2133706230540 2430054318115 2560447476648 2844941640720 2880503411229 2916065181738 3200559345810 3413929968864 3840671214972 3888086908984 4267412461080 4374097772607 4800839018715 4860108636230 5120894953296 5689883281440 5761006822458 5832130363476 6401118691620 7290162954345 7681342429944 7776173817968 8534824922160 8641510233687 8748195545214 9601678037430 9720217272460 10241789906592 11522013644916 11664260726952 12802237383240 13122293317821 14402517056145 14580325908690 15362684859888 15552347635936 17069649844320 17283020467374 17496391090428 19203356074860 19440434544920 21870488863035 23044027289832 23328521453904 25604474766480 26244586635642 28805034112290 29160651817380 30725369719776 34566040934748 34992782180856 38406712149720 38880869089840 39366879953463 43207551168435 43740977726070 46088054579664 46657042907808 51208949532960 52489173271284 57610068224580 58321303634760 65611466589105 69132081869496 69985564361712 76813424299440 77761738179680 78733759906926 86415102336870 87481955452140 92176109159328 104978346542568 115220136449160 116642607269520 118100639860389 131222933178210 138264163738992 139971128723424 153626848598880 157467519813852 172830204673740 174963910904280 196834399767315 209956693085136 230440272898320 233285214539040 236201279720778 262445866356420 276528327477984 314935039627704 345660409347480 349927821808560 354301919581167 393668799534630 419913386170272 460880545796640 472402559441556 524891732712840 590503199301945 629870079255408 691320818694960 699855643617120 708603839162334 787337599069260 944805118883112 1049783465425680 1181006398603890 1259740158510816 1382641637389920 1417207678324668 1574675198138520 1771509597905835 1889610237766224 2099566930851360 2362012797207780 2834415356649336 3149350396277040 3543019195811670 3779220475532448 4724025594415560 5668830713298672 6298700792554080 7086038391623340 9448051188831120 11337661426597344 14172076783246680 18896102377662240 28344153566493360 56688307132986720
- Sum of all divisors σ(n): 205694828277607872
- Sum of proper divisors (its aliquot sum) s(n): 149006521144621152
- 56688307132986720 is an abundant number, because the sum of its proper divisors (149006521144621152) is greater than itself. Its abundance is 92318214011634432
Bases of 56688307132986720
- Binary: 110010010110010110110111000010011001010001110101011000002
- Hexadecimal: 0xC965B709947560
- Base-36: FI6BSS29I00
Squares and roots of 56688307132986720
- 56688307132986720 squared (566883071329867202) is 3213564165603833038251547696358400
- 56688307132986720 cubed (566883071329867203) is 182171512411310285542337054221015624291059560448000
-
The
square root of 56688307132986720 is 238093064.0169652653 -
The
cube root of 56688307132986720 is 384147.3391412231
Scales and comparisons
How big is 56688307132986720?- 56,688,307,132,986,720 seconds is equal to 1,802,512,818 years, 19 weeks, 6 days, 1 hour, 12 minutes.
-
To count from 1 to 56,688,307,132,986,720 would take you about five billion, four hundred seven million, five hundred thirty-eight thousand, four hundred fifty-five 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 56688307132986720 cubic inches would be around 32012.3 feet tall.
Recreational maths with 56688307132986720
- 56688307132986720 backwards is 02768923170388665
- 56688307132986720 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 56688307132986720's digits is 81
- More coming soon!
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