13057580509898400
13,057,580,509,898,400 is an even composite number composed of five prime numbers multiplied together.
13057580509898400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13057580509898400:
25 × 33 × 52 × 7 × 86359659457
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 86359659457)See below for interesting mathematical facts about the number 13057580509898400 from the Numbermatics database.
Names of 13057580509898400
- Cardinal: 13057580509898400 can be written as Thirteen quadrillion, fifty-seven trillion, five hundred eighty billion, five hundred nine million, eight hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.30575805098984 × 1016
Factors of 13057580509898400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 86359659474
Divisors of 13057580509898400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 70 72 75 80 84 90 96 100 105 108 112 120 126 135 140 144 150 160 168 175 180 189 200 210 216 224 225 240 252 270 280 288 300 315 336 350 360 378 400 420 432 450 480 504 525 540 560 600 630 672 675 700 720 756 800 840 864 900 945 1008 1050 1080 1120 1200 1260 1350 1400 1440 1512 1575 1680 1800 1890 2016 2100 2160 2400 2520 2700 2800 3024 3150 3360 3600 3780 4200 4320 4725 5040 5400 5600 6048 6300 7200 7560 8400 9450 10080 10800 12600 15120 16800 18900 21600 25200 30240 37800 50400 75600 151200 86359659457 172719318914 259078978371 345438637828 431798297285 518157956742 604517616199 690877275656 777236935113 863596594570 1036315913484 1209035232398 1295394891855 1381754551312 1554473870226 1727193189140 1813552848597 2072631826968 2158991486425 2331710805339 2418070464796 2590789783710 2763509102624 3022588080995 3108947740452 3454386378280 3627105697194 3886184675565 4145263653936 4317982972850 4663421610678 4836140929592 5181579567420 5440658545791 6045176161990 6217895480904 6476974459275 6908772756560 7254211394388 7772369351130 8290527307872 8635965945700 9067764242985 9326843221356 9672281859184 10363159134840 10881317091582 11658554026695 12090352323980 12435790961808 12953948918550 13817545513120 14508422788776 15112940404975 15544738702260 16321975637373 17271931891400 18135528485970 18653686442712 19344563718368 19430923377825 20726318269680 21762634183164 23317108053390 24180704647960 24871581923616 25907897837100 27203292728955 29016845577552 30225880809950 31089477404520 32643951274746 34543863782800 36271056971940 37307372885424 38861846755650 41452636539360 43525268366328 45338821214925 46634216106780 48361409295920 51815795674200 54406585457910 58033691155104 58292770133475 60451761619900 62178954809040 65287902549492 69087727565600 72542113943880 74614745770848 77723693511300 81609878186865 87050536732656 90677642429850 93268432213560 96722818591840 103631591348400 108813170915820 116585540266950 120903523239800 124357909618080 130575805098984 136016463644775 145084227887760 155447387022600 163219756373730 174101073465312 181355284859700 186536864427120 207263182696800 217626341831640 233171080533900 241807046479600 261151610197968 272032927289550 290168455775520 310894774045200 326439512747460 362710569719400 373073728854240 408049390934325 435252683663280 466342161067800 483614092959200 522303220395936 544065854579100 621789548090400 652879025494920 725421139438800 816098781868650 870505367326560 932684322135600 1088131709158200 1305758050989840 1450842278877600 1632197563737300 1865368644271200 2176263418316400 2611516101979680 3264395127474600 4352526836632800 6528790254949200 13057580509898400
- Sum of all divisors σ(n): 53971332774871680
- Sum of proper divisors (its aliquot sum) s(n): 40913752264973280
- 13057580509898400 is an abundant number, because the sum of its proper divisors (40913752264973280) is greater than itself. Its abundance is 27856171755074880
Bases of 13057580509898400
- Binary: 1011100110001111001100110111111110101100100110101000002
- Hexadecimal: 0x2E63CCDFEB26A0
- Base-36: 3KKIXOAUSO0
Squares and roots of 13057580509898400
- 13057580509898400 squared (130575805098984002) is 170500408772478559740378322560000
- 13057580509898400 cubed (130575805098984003) is 2226322814517226224527550823016326868027904000000
-
The
square root of 13057580509898400 is 114269770.7615553063 -
The
cube root of 13057580509898400 is 235480.1140187147
Scales and comparisons
How big is 13057580509898400?- 13,057,580,509,898,400 seconds is equal to 415,190,670 years, 24 weeks, 1 day, 18 hours.
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To count from 1 to 13,057,580,509,898,400 would take you about one billion, two hundred forty-five million, five hundred seventy-two thousand and eleven 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 13057580509898400 cubic inches would be around 19623.3 feet tall.
Recreational maths with 13057580509898400
- 13057580509898400 backwards is 00489890508575031
- 13057580509898400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13057580509898400's digits is 72
- More coming soon!
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