131379468
131,379,468 is an even composite number composed of six prime numbers multiplied together.
131379468 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 131379468:
22 × 3 × 11 × 17 × 127 × 461
(2 × 2 × 3 × 11 × 17 × 127 × 461)See below for interesting mathematical facts about the number 131379468 from the Numbermatics database.
Names of 131379468
- Cardinal: 131379468 can be written as One hundred thirty-one million, three hundred seventy-nine thousand, four hundred sixty-eight.
Scientific notation
- Scientific notation: 1.31379468 × 108
Factors of 131379468
Divisors of 131379468
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 127 132 187 204 254 374 381 461 508 561 748 762 922 1122 1383 1397 1524 1844 2159 2244 2766 2794 4191 4318 5071 5532 5588 6477 7837 8382 8636 10142 12954 15213 15674 16764 20284 23511 23749 25908 30426 31348 47022 47498 58547 60852 71247 86207 94044 94996 117094 142494 172414 175641 234188 258621 284988 344828 351282 517242 644017 702564 995299 1034484 1288034 1932051 1990598 2576068 2985897 3864102 3981196 5971794 7728204 10948289 11943588 21896578 32844867 43793156 65689734 131379468
- Sum of all divisors σ(n): 357654528
- Sum of proper divisors (its aliquot sum) s(n): 226275060
- 131379468 is an abundant number, because the sum of its proper divisors (226275060) is greater than itself. Its abundance is 94895592
Bases of 131379468
- Binary: 1111101010010110001000011002
- Hexadecimal: 0x7D4B10C
- Base-36: 267X1O
Squares and roots of 131379468
- 131379468 squared (1313794682) is 17260564611963024
- 131379468 cubed (1313794683) is 2267683796099328528791232
-
The
square root of 131379468 is 11462.0882914065 -
The
cube root of 131379468 is 508.3652229269
Scales and comparisons
How big is 131379468?- 131,379,468 seconds is equal to 4 years, 9 weeks, 1 day, 14 hours, 17 minutes, 48 seconds.
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To count from 1 to 131,379,468 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 131379468 cubic inches would be around 42.4 feet tall.
Recreational maths with 131379468
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