993125952
993,125,952 is an even composite number composed of five prime numbers multiplied together.
993125952 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 993125952:
26 × 32 × 7 × 13 × 18947
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 18947)See below for interesting mathematical facts about the number 993125952 from the Numbermatics database.
Names of 993125952
- Cardinal: 993125952 can be written as Nine hundred ninety-three million, one hundred twenty-five thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 9.93125952 × 108
Factors of 993125952
Divisors of 993125952
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 104 112 117 126 144 156 168 182 192 208 224 234 252 273 288 312 336 364 416 448 468 504 546 576 624 672 728 819 832 936 1008 1092 1248 1344 1456 1638 1872 2016 2184 2496 2912 3276 3744 4032 4368 5824 6552 7488 8736 13104 17472 18947 26208 37894 52416 56841 75788 113682 132629 151576 170523 227364 246311 265258 303152 341046 397887 454728 492622 530516 606304 682092 738933 795774 909456 985244 1061032 1193661 1212608 1364184 1477866 1591548 1724177 1818912 1970488 2122064 2216799 2387322 2728368 2955732 3183096 3448354 3637824 3940976 4244128 4433598 4774644 5172531 5456736 5911464 6366192 6896708 7881952 8488256 8867196 9549288 10345062 10913472 11822928 12732384 13793416 15517593 15763904 17734392 19098576 20690124 23645856 25464768 27586832 31035186 35468784 38197152 41380248 47291712 55173664 62070372 70937568 76394304 82760496 110347328 124140744 141875136 165520992 248281488 331041984 496562976 993125952
- Sum of all divisors σ(n): 3503712576
- Sum of proper divisors (its aliquot sum) s(n): 2510586624
- 993125952 is an abundant number, because the sum of its proper divisors (2510586624) is greater than itself. Its abundance is 1517460672
Bases of 993125952
- Binary: 1110110011000111100110010000002
- Hexadecimal: 0x3B31E640
- Base-36: GFA4W0
Squares and roots of 993125952
- 993125952 squared (9931259522) is 986299156535906304
- 993125952 cubed (9931259523) is 979519288791518970342801408
-
The
square root of 993125952 is 31513.9009327631 -
The
cube root of 993125952 is 997.7033802419
Scales and comparisons
How big is 993125952?- 993,125,952 seconds is equal to 31 years, 30 weeks, 12 hours, 19 minutes, 12 seconds.
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To count from 1 to 993,125,952 would take you about forty-seven 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 993125952 cubic inches would be around 83.1 feet tall.
Recreational maths with 993125952
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