972424992
972,424,992 is an even composite number composed of five prime numbers multiplied together.
972424992 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 972424992:
25 × 3 × 72 × 11 × 18793
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 18793)See below for interesting mathematical facts about the number 972424992 from the Numbermatics database.
Names of 972424992
- Cardinal: 972424992 can be written as Nine hundred seventy-two million, four hundred twenty-four thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 9.72424992 × 108
Factors of 972424992
Divisors of 972424992
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1176 1232 1568 1617 1848 2156 2352 2464 3234 3696 4312 4704 6468 7392 8624 12936 17248 18793 25872 37586 51744 56379 75172 112758 131551 150344 206723 225516 263102 300688 394653 413446 451032 526204 601376 620169 789306 826892 902064 920857 1052408 1240338 1447061 1578612 1653784 1804128 1841714 2104816 2480676 2762571 2894122 3157224 3307568 3683428 4209632 4341183 4961352 5525142 5788244 6314448 6615136 7366856 8682366 9922704 10129427 11050284 11576488 12628896 14733712 17364732 19845408 20258854 22100568 23152976 29467424 30388281 34729464 40517708 44201136 46305952 60776562 69458928 81035416 88402272 121553124 138917856 162070832 243106248 324141664 486212496 972424992
- Sum of all divisors σ(n): 3239484192
- Sum of proper divisors (its aliquot sum) s(n): 2267059200
- 972424992 is an abundant number, because the sum of its proper divisors (2267059200) is greater than itself. Its abundance is 1294634208
Bases of 972424992
- Binary: 1110011111011000000111001000002
- Hexadecimal: 0x39F60720
- Base-36: G2YFXC
Squares and roots of 972424992
- 972424992 squared (9724249922) is 945610365066200064
- 972424992 cubed (9724249923) is 919535151684616676705599488
-
The
square root of 972424992 is 31183.7296037533 -
The
cube root of 972424992 is 990.7225253055
Scales and comparisons
How big is 972424992?- 972,424,992 seconds is equal to 30 years, 47 weeks, 5 days, 22 hours, 3 minutes, 12 seconds.
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To count from 1 to 972,424,992 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 972424992 cubic inches would be around 82.6 feet tall.
Recreational maths with 972424992
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