45478125
45,478,125 is an odd composite number composed of four prime numbers multiplied together.
45478125 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 45478125:
33 × 55 × 72 × 11
(3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 11)See below for interesting mathematical facts about the number 45478125 from the Numbermatics database.
Names of 45478125
- Cardinal: 45478125 can be written as Forty-five million, four hundred seventy-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.5478125 × 107
Factors of 45478125
Divisors of 45478125
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 5 7 9 11 15 21 25 27 33 35 45 49 55 63 75 77 99 105 125 135 147 165 175 189 225 231 245 275 297 315 375 385 441 495 525 539 625 675 693 735 825 875 945 1125 1155 1225 1323 1375 1485 1575 1617 1875 1925 2079 2205 2475 2625 2695 3125 3375 3465 3675 4125 4375 4725 4851 5625 5775 6125 6615 6875 7425 7875 8085 9375 9625 10395 11025 12375 13125 13475 14553 16875 17325 18375 20625 21875 23625 24255 28125 28875 30625 33075 34375 37125 39375 40425 48125 51975 55125 61875 65625 67375 72765 84375 86625 91875 103125 118125 121275 144375 153125 165375 185625 196875 202125 240625 259875 275625 309375 336875 363825 433125 459375 590625 606375 721875 826875 928125 1010625 1299375 1378125 1684375 1819125 2165625 3031875 4134375 5053125 6496875 9095625 15159375 45478125
- Sum of all divisors σ(n): 106868160
- Sum of proper divisors (its aliquot sum) s(n): 61390035
- 45478125 is an abundant number, because the sum of its proper divisors (61390035) is greater than itself. Its abundance is 15911910
Bases of 45478125
- Binary: 101011010111110000111011012
- Hexadecimal: 0x2B5F0ED
- Base-36: R2R59
Squares and roots of 45478125
- 45478125 squared (454781252) is 2068259853515625
- 45478125 cubed (454781253) is 94060580150665283203125
-
The
square root of 45478125 is 6743.7471037991 -
The
cube root of 45478125 is 356.9446280903
Scales and comparisons
How big is 45478125?- 45,478,125 seconds is equal to 1 year, 23 weeks, 1 day, 8 hours, 48 minutes, 45 seconds.
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To count from 1 to 45,478,125 would take you about two 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 45478125 cubic inches would be around 29.7 feet tall.
Recreational maths with 45478125
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