54048822446725200
54,048,822,446,725,200 is an even composite number composed of five prime numbers multiplied together.
54048822446725200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 54048822446725200:
24 × 33 × 52 × 53 × 94424916923
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 53 × 94424916923)See below for interesting mathematical facts about the number 54048822446725200 from the Numbermatics database.
Names of 54048822446725200
- Cardinal: 54048822446725200 can be written as Fifty-four quadrillion, forty-eight trillion, eight hundred twenty-two billion, four hundred forty-six million, seven hundred twenty-five thousand, two hundred.
Scientific notation
- Scientific notation: 5.40488224467252 × 1016
Factors of 54048822446725200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 94424916986
Divisors of 54048822446725200
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 53 54 60 72 75 80 90 100 106 108 120 135 144 150 159 180 200 212 216 225 240 265 270 300 318 360 400 424 432 450 477 530 540 600 636 675 720 795 848 900 954 1060 1080 1200 1272 1325 1350 1431 1590 1800 1908 2120 2160 2385 2544 2650 2700 2862 3180 3600 3816 3975 4240 4770 5300 5400 5724 6360 7155 7632 7950 9540 10600 10800 11448 11925 12720 14310 15900 19080 21200 22896 23850 28620 31800 35775 38160 47700 57240 63600 71550 95400 114480 143100 190800 286200 572400 94424916923 188849833846 283274750769 377699667692 472124584615 566549501538 755399335384 849824252307 944249169230 1133099003076 1416373753845 1510798670768 1699648504614 1888498338460 2266198006152 2360622923075 2549472756921 2832747507690 3399297009228 3776996676920 4249121261535 4532396012304 4721245846150 5004520596919 5098945513842 5665495015380 6798594018456 7081868769225 7553993353840 8498242523070 9442491692300 10009041193838 10197891027684 11330990030760 12747363784605 13597188036912 14163737538450 15013561790757 16996485046140 18884983384600 20018082387676 20395782055368 21245606307675 22661980061520 25022602984595 25494727569210 28327475076900 30027123581514 33992970092280 37769966769200 40036164775352 40791564110736 42491212615350 45040685372271 50045205969190 50989455138420 56654950153800 60054247163028 63736818923025 67985940184560 75067808953785 80072329550704 84982425230700 90081370744542 100090411938380 101978910276840 113309900307600 120108494326056 125113014922975 127473637846050 135122056116813 150135617907570 169964850461400 180162741489084 200180823876760 203957820553680 225203426861355 240216988652112 250226029845950 254947275692100 270244112233626 300271235815140 339929700922800 360325482978168 375339044768925 400361647753520 450406853722710 500452059691900 509894551384200 540488224467252 600542471630280 675610280584065 720650965956336 750678089537850 900813707445420 1000904119383800 1019789102768400 1080976448934504 1126017134306775 1201084943260560 1351220561168130 1501356179075700 1801627414890840 2001808238767600 2161952897869008 2252034268613550 2702441122336260 3002712358151400 3378051402920325 3603254829781680 4504068537227100 5404882244672520 6005424716302800 6756102805840650 9008137074454200 10809764489345040 13512205611681300 18016274148908400 27024411223362600 54048822446725200
- Sum of all divisors σ(n): 196003465554162240
- Sum of proper divisors (its aliquot sum) s(n): 141954643107437040
- 54048822446725200 is an abundant number, because the sum of its proper divisors (141954643107437040) is greater than itself. Its abundance is 87905820660711840
Bases of 54048822446725200
- Binary: 110000000000010100011110000111100111011100011000010100002
- Hexadecimal: 0xC0051E1E771850
- Base-36: ES6PI95JEC0
Squares and roots of 54048822446725200
- 54048822446725200 squared (540488224467252002) is 2921275207877625834992204315040000
- 54048822446725200 cubed (540488224467252003) is 157891485028598048032268999073288353957107008000000
-
The
square root of 54048822446725200 is 232484026.2184161331 -
The
cube root of 54048822446725200 is 378090.1925600349
Scales and comparisons
How big is 54048822446725200?- 54,048,822,446,725,200 seconds is equal to 1,718,585,369 years, 42 weeks, 4 days, 21 hours.
-
To count from 1 to 54,048,822,446,725,200 would take you about five billion, one hundred fifty-five million, seven hundred fifty-six thousand, one hundred 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 54048822446725200 cubic inches would be around 31507.5 feet tall.
Recreational maths with 54048822446725200
- 54048822446725200 backwards is 00252764422884045
- The number of decimal digits it has is: 17
- The sum of 54048822446725200's digits is 63
- More coming soon!
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