972493368
972,493,368 is an even composite number composed of six prime numbers multiplied together.
972493368 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 972493368:
23 × 3 × 7 × 11 × 113 × 4657
(2 × 2 × 2 × 3 × 7 × 11 × 113 × 4657)See below for interesting mathematical facts about the number 972493368 from the Numbermatics database.
Names of 972493368
- Cardinal: 972493368 can be written as Nine hundred seventy-two million, four hundred ninety-three thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 9.72493368 × 108
Factors of 972493368
Divisors of 972493368
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 113 132 154 168 226 231 264 308 339 452 462 616 678 791 904 924 1243 1356 1582 1848 2373 2486 2712 3164 3729 4657 4746 4972 6328 7458 8701 9314 9492 9944 13971 14916 17402 18628 18984 26103 27942 29832 32599 34804 37256 51227 52206 55884 65198 69608 97797 102454 104412 111768 130396 153681 195594 204908 208824 260792 307362 358589 391188 409816 526241 614724 717178 782376 1052482 1075767 1229448 1434356 1578723 2104964 2151534 2868712 3157446 3683687 4209928 4303068 5788651 6314892 7367374 8606136 11051061 11577302 12629784 14734748 17365953 22102122 23154604 29469496 34731906 40520557 44204244 46309208 69463812 81041114 88408488 121561671 138927624 162082228 243123342 324164456 486246684 972493368
- Sum of all divisors σ(n): 3058629120
- Sum of proper divisors (its aliquot sum) s(n): 2086135752
- 972493368 is an abundant number, because the sum of its proper divisors (2086135752) is greater than itself. Its abundance is 1113642384
Bases of 972493368
- Binary: 1110011111011100010010001110002
- Hexadecimal: 0x39F71238
- Base-36: G2ZWOO
Squares and roots of 972493368
- 972493368 squared (9724933682) is 945743350803983424
- 972493368 cubed (9724933683) is 919729136486971347821932032
-
The
square root of 972493368 is 31184.8259254401 -
The
cube root of 972493368 is 990.7457456245
Scales and comparisons
How big is 972493368?- 972,493,368 seconds is equal to 30 years, 47 weeks, 6 days, 17 hours, 2 minutes, 48 seconds.
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To count from 1 to 972,493,368 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 972493368 cubic inches would be around 82.6 feet tall.
Recreational maths with 972493368
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