516138881918400
516,138,881,918,400 is an even composite number composed of five prime numbers multiplied together.
516138881918400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 516138881918400:
26 × 32 × 52 × 13 × 2757152147
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 2757152147)See below for interesting mathematical facts about the number 516138881918400 from the Numbermatics database.
Names of 516138881918400
- Cardinal: 516138881918400 can be written as Five hundred sixteen trillion, one hundred thirty-eight billion, eight hundred eighty-one million, nine hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 5.161388819184 × 1014
Factors of 516138881918400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 2757152170
Divisors of 516138881918400
- Number of divisors d(n): 252
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 130 144 150 156 160 180 192 195 200 208 225 234 240 260 288 300 312 320 325 360 390 400 416 450 468 480 520 576 585 600 624 650 720 780 800 832 900 936 960 975 1040 1170 1200 1248 1300 1440 1560 1600 1800 1872 1950 2080 2340 2400 2496 2600 2880 2925 3120 3600 3744 3900 4160 4680 4800 5200 5850 6240 7200 7488 7800 9360 10400 11700 12480 14400 15600 18720 20800 23400 31200 37440 46800 62400 93600 187200 2757152147 5514304294 8271456441 11028608588 13785760735 16542912882 22057217176 24814369323 27571521470 33085825764 35842977911 41357282205 44114434352 49628738646 55143042940 66171651528 68928803675 71685955822 82714564410 88228868704 99257477292 107528933733 110286085880 124071846615 132343303056 137857607350 143371911644 165429128820 176457737408 179214889555 198514954584 206786411025 215057867466 220572171760 248143693230 264686606112 275715214700 286743823288 322586801199 330858257640 358429779110 397029909168 413572822050 430115734932 441144343520 496287386460 529373212224 537644668665 551430429400 573487646576 620359233075 645173602398 661716515280 716859558220 794059818336 827145644100 860231469864 882288687040 896074447775 992574772920 1075289337330 1102860858800 1146975293152 1240718466150 1290347204796 1323433030560 1433719116440 1588119636672 1612934005995 1654291288200 1720462939728 1792148895550 1985149545840 2150578674660 2205721717600 2293950586304 2481436932300 2580694409592 2646866061120 2688223343325 2867438232880 3225868011990 3308582576400 3440925879456 3584297791100 3970299091680 4301157349320 4411443435200 4962873864600 5161388819184 5376446686650 5734876465760 6451736023980 6617165152800 6881851758912 7168595582200 7940598183360 8064670029975 8602314698640 9925747729200 10322777638368 10752893373300 11469752931520 12903472047960 13234330305600 14337191164400 16129340059950 17204629397280 19851495458400 20645555276736 21505786746600 25806944095920 28674382328800 32258680119900 34409258794560 39702990916800 43011573493200 51613888191840 57348764657600 64517360239800 86023146986400 103227776383680 129034720479600 172046293972800 258069440959200 516138881918400
- Sum of all divisors σ(n): 1975593257215032
- Sum of proper divisors (its aliquot sum) s(n): 1459454375296632
- 516138881918400 is an abundant number, because the sum of its proper divisors (1459454375296632) is greater than itself. Its abundance is 943315493378232
Bases of 516138881918400
- Binary: 11101010101101100111100101011011000100101110000002
- Hexadecimal: 0x1D56CF2B625C0
- Base-36: 52YEXFZE80
Squares and roots of 516138881918400
- 516138881918400 squared (5161388819184002) is 266399345427976058464258560000
- 516138881918400 cubed (5161388819184003) is 137499060292989187751586203746646421504000000
-
The
square root of 516138881918400 is 22718690.1453054727 -
The
cube root of 516138881918400 is 80214.9884983623
Scales and comparisons
How big is 516138881918400?- 516,138,881,918,400 seconds is equal to 16,411,619 years, 47 weeks, 6 days, 20 hours.
-
To count from 1 to 516,138,881,918,400 would take you about forty-one million, twenty-nine thousand and forty-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 516138881918400 cubic inches would be around 6684.6 feet tall.
Recreational maths with 516138881918400
- 516138881918400 backwards is 004819188831615
- The number of decimal digits it has is: 15
- The sum of 516138881918400's digits is 63
- More coming soon!
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