968638125
968,638,125 is an odd composite number composed of five prime numbers multiplied together.
968638125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 968638125:
3 × 54 × 72 × 13 × 811
(3 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 811)See below for interesting mathematical facts about the number 968638125 from the Numbermatics database.
Names of 968638125
- Cardinal: 968638125 can be written as Nine hundred sixty-eight million, six hundred thirty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 9.68638125 × 108
Factors of 968638125
Divisors of 968638125
- Number of divisors d(n): 120
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Complete list of divisors:
1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 125 147 175 195 245 273 325 375 455 525 625 637 735 811 875 975 1225 1365 1625 1875 1911 2275 2433 2625 3185 3675 4055 4375 4875 5677 6125 6825 8125 9555 10543 11375 12165 13125 15925 17031 18375 20275 24375 28385 30625 31629 34125 39739 47775 52715 56875 60825 73801 79625 85155 91875 101375 119217 141925 158145 170625 198695 221403 238875 263575 304125 369005 398125 425775 506875 516607 596085 709625 790725 993475 1107015 1194375 1317875 1520625 1549821 1845025 2128875 2583035 2980425 3548125 3953625 4967375 5535075 6589375 7749105 9225125 10644375 12915175 14902125 19768125 24836875 27675375 38745525 46125625 64575875 74510625 138376875 193727625 322879375 968638125
- Sum of all divisors σ(n): 2024277024
- Sum of proper divisors (its aliquot sum) s(n): 1055638899
- 968638125 is an abundant number, because the sum of its proper divisors (1055638899) is greater than itself. Its abundance is 87000774
Bases of 968638125
- Binary: 1110011011110000111110101011012
- Hexadecimal: 0x39BC3EAD
- Base-36: G0P9YL
Squares and roots of 968638125
- 968638125 squared (9686381252) is 938259817203515625
- 968638125 cubed (9686381253) is 908834230098856118408203125
-
The
square root of 968638125 is 31122.9517398335 -
The
cube root of 968638125 is 989.4348115667
Scales and comparisons
How big is 968638125?- 968,638,125 seconds is equal to 30 years, 41 weeks, 4 days, 2 hours, 8 minutes, 45 seconds.
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To count from 1 to 968,638,125 would take you about forty-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 968638125 cubic inches would be around 82.5 feet tall.
Recreational maths with 968638125
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