401953125
401,953,125 is an odd composite number composed of three prime numbers multiplied together.
401953125 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 401953125:
3 × 58 × 73
(3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7)See below for interesting mathematical facts about the number 401953125 from the Numbermatics database.
Names of 401953125
- Cardinal: 401953125 can be written as Four hundred one million, nine hundred fifty-three thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.01953125 × 108
Factors of 401953125
Divisors of 401953125
- Number of divisors d(n): 72
-
Complete list of divisors:
1 3 5 7 15 21 25 35 49 75 105 125 147 175 245 343 375 525 625 735 875 1029 1225 1715 1875 2625 3125 3675 4375 5145 6125 8575 9375 13125 15625 18375 21875 25725 30625 42875 46875 65625 78125 91875 109375 128625 153125 214375 234375 328125 390625 459375 546875 643125 765625 1071875 1171875 1640625 2296875 2734375 3215625 3828125 5359375 8203125 11484375 16078125 19140625 26796875 57421875 80390625 133984375 401953125
- Sum of all divisors σ(n): 781249600
- Sum of proper divisors (its aliquot sum) s(n): 379296475
- 401953125 is a deficient number, because the sum of its proper divisors (379296475) is less than itself. Its deficiency is 22656650
Bases of 401953125
- Binary: 101111111010101010001011001012
- Hexadecimal: 0x17F55165
- Base-36: 6NB90L
Squares and roots of 401953125
- 401953125 squared (4019531252) is 161566314697265625
- 401953125 cubed (4019531253) is 64942085087299346923828125
-
The
square root of 401953125 is 20048.7686654319 -
The
cube root of 401953125 is 738.0035821391
Scales and comparisons
How big is 401953125?- 401,953,125 seconds is equal to 12 years, 40 weeks, 4 days, 5 hours, 38 minutes, 45 seconds.
-
To count from 1 to 401,953,125 would take you about nineteen 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 401953125 cubic inches would be around 61.5 feet tall.
Recreational maths with 401953125
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