490978125
490,978,125 is an odd composite number composed of four prime numbers multiplied together.
490978125 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 490978125:
33 × 55 × 11 × 232
(3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 23 × 23)See below for interesting mathematical facts about the number 490978125 from the Numbermatics database.
Names of 490978125
- Cardinal: 490978125 can be written as Four hundred ninety million, nine hundred seventy-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.90978125 × 108
Factors of 490978125
Divisors of 490978125
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 5 9 11 15 23 25 27 33 45 55 69 75 99 115 125 135 165 207 225 253 275 297 345 375 495 529 575 621 625 675 759 825 1035 1125 1265 1375 1485 1587 1725 1875 2277 2475 2645 2875 3105 3125 3375 3795 4125 4761 5175 5625 5819 6325 6831 6875 7425 7935 8625 9375 11385 12375 13225 14283 14375 15525 16875 17457 18975 20625 23805 25875 28125 29095 31625 34155 34375 37125 39675 43125 52371 56925 61875 66125 71415 71875 77625 84375 87285 94875 103125 119025 129375 145475 157113 158125 170775 185625 198375 215625 261855 284625 309375 330625 357075 388125 436425 474375 595125 646875 727375 785565 790625 853875 928125 991875 1309275 1423125 1653125 1785375 1940625 2182125 2371875 2975625 3636875 3927825 4269375 4959375 6546375 7115625 8926875 10910625 14878125 18184375 19639125 21346875 32731875 44634375 54553125 98195625 163659375 490978125
- Sum of all divisors σ(n): 1036808640
- Sum of proper divisors (its aliquot sum) s(n): 545830515
- 490978125 is an abundant number, because the sum of its proper divisors (545830515) is greater than itself. Its abundance is 54852390
Bases of 490978125
- Binary: 111010100001110111011010011012
- Hexadecimal: 0x1D43BB4D
- Base-36: 84BD59
Squares and roots of 490978125
- 490978125 squared (4909781252) is 241059519228515625
- 490978125 cubed (4909781253) is 118354950764218048095703125
-
The
square root of 490978125 is 22158.0261981973 -
The
cube root of 490978125 is 788.8977444141
Scales and comparisons
How big is 490978125?- 490,978,125 seconds is equal to 15 years, 31 weeks, 5 days, 14 hours, 48 minutes, 45 seconds.
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To count from 1 to 490,978,125 would take you about twenty-three 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 490978125 cubic inches would be around 65.7 feet tall.
Recreational maths with 490978125
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