131988384
131,988,384 is an even composite number composed of five prime numbers multiplied together.
131988384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 131988384:
25 × 32 × 11 × 61 × 683
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 61 × 683)See below for interesting mathematical facts about the number 131988384 from the Numbermatics database.
Names of 131988384
- Cardinal: 131988384 can be written as One hundred thirty-one million, nine hundred eighty-eight thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.31988384 × 108
Factors of 131988384
Divisors of 131988384
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 61 66 72 88 96 99 122 132 144 176 183 198 244 264 288 352 366 396 488 528 549 671 683 732 792 976 1056 1098 1342 1366 1464 1584 1952 2013 2049 2196 2684 2732 2928 3168 4026 4098 4392 5368 5464 5856 6039 6147 7513 8052 8196 8784 10736 10928 12078 12294 15026 16104 16392 17568 21472 21856 22539 24156 24588 30052 32208 32784 41663 45078 48312 49176 60104 64416 65568 67617 83326 90156 96624 98352 120208 124989 135234 166652 180312 193248 196704 240416 249978 270468 333304 360624 374967 458293 499956 540936 666608 721248 749934 916586 999912 1081872 1333216 1374879 1499868 1833172 1999824 2163744 2749758 2999736 3666344 3999648 4124637 5499516 5999472 7332688 8249274 10999032 11998944 14665376 16498548 21998064 32997096 43996128 65994192 131988384
- Sum of all divisors σ(n): 416785824
- Sum of proper divisors (its aliquot sum) s(n): 284797440
- 131988384 is an abundant number, because the sum of its proper divisors (284797440) is greater than itself. Its abundance is 152809056
Bases of 131988384
- Binary: 1111101110111111011101000002
- Hexadecimal: 0x7DDFBA0
- Base-36: 26KYW0
Squares and roots of 131988384
- 131988384 squared (1319883842) is 17420933510931456
- 131988384 cubed (1319883843) is 2299360861879289212207104
-
The
square root of 131988384 is 11488.6197604411 -
The
cube root of 131988384 is 509.1494010405
Scales and comparisons
How big is 131988384?- 131,988,384 seconds is equal to 4 years, 10 weeks, 1 day, 15 hours, 26 minutes, 24 seconds.
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To count from 1 to 131,988,384 would take you about six 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 131988384 cubic inches would be around 42.4 feet tall.
Recreational maths with 131988384
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