331164144
331,164,144 is an even composite number composed of four prime numbers multiplied together.
What does the number 331164144 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 60 divisors.
331164144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty divisors.
Prime factorization of 331164144:
24 × 32 × 107 × 21493
(2 × 2 × 2 × 2 × 3 × 3 × 107 × 21493)See below for interesting mathematical facts about the number 331164144 from the Numbermatics database.
Names of 331164144
- Cardinal: 331164144 can be written as Three hundred thirty-one million, one hundred sixty-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 3.31164144 × 108
Factors of 331164144
Divisors of 331164144
- Number of divisors d(n): 60
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 15408 21493 42986 64479 85972 128958 171944 193437 257916 343888 386874 515832 773748 1031664 1547496 2299751 3094992 4599502 6899253 9199004 13798506 18398008 20697759 27597012 36796016 41395518 55194024 82791036 110388048 165582072 331164144
- Sum of all divisors σ(n): 935504856
- Sum of proper divisors (its aliquot sum) s(n): 604340712
- 331164144 is an abundant number, because the sum of its proper divisors (604340712) is greater than itself. Its abundance is 273176568
Bases of 331164144
- Binary: 100111011110100101001111100002
- Hexadecimal: 0x13BD29F0
- Base-36: 5H5ZW0
Squares and roots of 331164144
- 331164144 squared (3311641442) is 109669690271252736
- 331164144 cubed (3311641443) is 36318669101424540125097984
-
The
square root of 331164144 is 18197.9159246327 -
The
cube root of 331164144 is 691.8539680937
Scales and comparisons
How big is 331164144?- 331,164,144 seconds is equal to 10 years, 27 weeks, 3 days, 22 hours, 2 minutes, 24 seconds.
-
To count from 1 to 331,164,144 would take you about fifteen 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 331164144 cubic inches would be around 57.7 feet tall.
Recreational maths with 331164144
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