131468792
131,468,792 is an even composite number composed of five prime numbers multiplied together.
What does the number 131468792 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 64 divisors.
131468792 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 131468792:
23 × 7 × 13 × 419 × 431
(2 × 2 × 2 × 7 × 13 × 419 × 431)See below for interesting mathematical facts about the number 131468792 from the Numbermatics database.
Names of 131468792
- Cardinal: 131468792 can be written as One hundred thirty-one million, four hundred sixty-eight thousand, seven hundred ninety-two.
Scientific notation
- Scientific notation: 1.31468792 × 108
Factors of 131468792
Divisors of 131468792
- Number of divisors d(n): 64
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Complete list of divisors:
1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 419 431 728 838 862 1676 1724 2933 3017 3352 3448 5447 5603 5866 6034 10894 11206 11732 12068 21788 22412 23464 24136 38129 39221 43576 44824 76258 78442 152516 156884 180589 305032 313768 361178 722356 1264123 1444712 2347657 2528246 4695314 5056492 9390628 10112984 16433599 18781256 32867198 65734396 131468792
- Sum of all divisors σ(n): 304819200
- Sum of proper divisors (its aliquot sum) s(n): 173350408
- 131468792 is an abundant number, because the sum of its proper divisors (173350408) is greater than itself. Its abundance is 41881616
Bases of 131468792
- Binary: 1111101011000001101111110002
- Hexadecimal: 0x7D60DF8
- Base-36: 269TYW
Squares and roots of 131468792
- 131468792 squared (1314687922) is 17284043269939264
- 131468792 cubed (1314687923) is 2272312289574644951449088
-
The
square root of 131468792 is 11465.9841269731 -
The
cube root of 131468792 is 508.4804081701
Scales and comparisons
How big is 131468792?- 131,468,792 seconds is equal to 4 years, 9 weeks, 2 days, 15 hours, 6 minutes, 32 seconds.
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To count from 1 to 131,468,792 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 131468792 cubic inches would be around 42.4 feet tall.
Recreational maths with 131468792
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