131620125
131,620,125 is an odd composite number composed of six prime numbers multiplied together.
131620125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 131620125:
3 × 53 × 72 × 13 × 19 × 29
(3 × 5 × 5 × 5 × 7 × 7 × 13 × 19 × 29)See below for interesting mathematical facts about the number 131620125 from the Numbermatics database.
Names of 131620125
- Cardinal: 131620125 can be written as One hundred thirty-one million, six hundred twenty thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.31620125 × 108
Factors of 131620125
Divisors of 131620125
- Number of divisors d(n): 192
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Complete list of divisors:
1 3 5 7 13 15 19 21 25 29 35 39 49 57 65 75 87 91 95 105 125 133 145 147 175 195 203 245 247 273 285 325 375 377 399 435 455 475 525 551 609 637 665 725 735 741 875 931 975 1015 1131 1225 1235 1365 1421 1425 1625 1653 1729 1885 1911 1995 2175 2275 2375 2625 2639 2755 2793 3045 3185 3325 3625 3675 3705 3857 4263 4655 4875 5075 5187 5655 6125 6175 6825 7105 7125 7163 7917 8265 8645 9425 9555 9975 10875 11375 11571 12103 13195 13775 13965 15225 15925 16625 18375 18473 18525 19285 21315 21489 23275 25375 25935 26999 28275 30875 34125 35525 35815 36309 39585 41325 43225 47125 47775 49875 50141 55419 57855 60515 65975 68875 69825 76125 79625 80997 92365 92625 96425 106575 107445 116375 129675 134995 141375 150423 177625 179075 181545 197925 206625 216125 238875 250705 277095 289275 302575 329875 349125 350987 404985 461825 482125 532875 537225 648375 674975 752115 895375 907725 989625 1052961 1253525 1385475 1446375 1512875 1754935 2024925 2309125 2686125 3374875 3760575 4538625 5264805 6267625 6927375 8774675 10124625 18802875 26324025 43873375 131620125
- Sum of all divisors σ(n): 298771200
- Sum of proper divisors (its aliquot sum) s(n): 167151075
- 131620125 is an abundant number, because the sum of its proper divisors (167151075) is greater than itself. Its abundance is 35530950
Bases of 131620125
- Binary: 1111101100001011101000111012
- Hexadecimal: 0x7D85D1D
- Base-36: 26D2QL
Squares and roots of 131620125
- 131620125 squared (1316201252) is 17323857305015625
- 131620125 cubed (1316201253) is 2280168263968319689453125
-
The
square root of 131620125 is 11472.5814444703 -
The
cube root of 131620125 is 508.6754363535
Scales and comparisons
How big is 131620125?- 131,620,125 seconds is equal to 4 years, 9 weeks, 4 days, 9 hours, 8 minutes, 45 seconds.
-
To count from 1 to 131,620,125 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 131620125 cubic inches would be around 42.4 feet tall.
Recreational maths with 131620125
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