481315968
481,315,968 is an even composite number composed of five prime numbers multiplied together.
481315968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 481315968:
27 × 32 × 7 × 17 × 3511
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 17 × 3511)See below for interesting mathematical facts about the number 481315968 from the Numbermatics database.
Names of 481315968
- Cardinal: 481315968 can be written as Four hundred eighty-one million, three hundred fifteen thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.81315968 × 108
Factors of 481315968
Divisors of 481315968
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 64 68 72 84 96 102 112 119 126 128 136 144 153 168 192 204 224 238 252 272 288 306 336 357 384 408 448 476 504 544 576 612 672 714 816 896 952 1008 1071 1088 1152 1224 1344 1428 1632 1904 2016 2142 2176 2448 2688 2856 3264 3511 3808 4032 4284 4896 5712 6528 7022 7616 8064 8568 9792 10533 11424 14044 15232 17136 19584 21066 22848 24577 28088 31599 34272 42132 45696 49154 56176 59687 63198 68544 73731 84264 98308 112352 119374 126396 137088 147462 168528 179061 196616 221193 224704 238748 252792 294924 337056 358122 393232 417809 442386 449408 477496 505584 537183 589848 674112 716244 786464 835618 884772 954992 1011168 1074366 1179696 1253427 1348224 1432488 1572928 1671236 1769544 1909984 2022336 2148732 2359392 2506854 2864976 3145856 3342472 3539088 3760281 3819968 4044672 4297464 4718784 5013708 5729952 6684944 7078176 7520562 7639936 8594928 9437568 10027416 11459904 13369888 14156352 15041124 17189856 20054832 22919808 26739776 28312704 30082248 34379712 40109664 53479552 60164496 68759424 80219328 120328992 160438656 240657984 481315968
- Sum of all divisors σ(n): 1676488320
- Sum of proper divisors (its aliquot sum) s(n): 1195172352
- 481315968 is an abundant number, because the sum of its proper divisors (1195172352) is greater than itself. Its abundance is 713856384
Bases of 481315968
- Binary: 111001011000001001100100000002
- Hexadecimal: 0x1CB04C80
- Base-36: 7YK9S0
Squares and roots of 481315968
- 481315968 squared (4813159682) is 231665061051777024
- 481315968 cubed (4813159683) is 111504093111915156426719232
-
The
square root of 481315968 is 21938.9144672201 -
The
cube root of 481315968 is 783.6884087341
Scales and comparisons
How big is 481315968?- 481,315,968 seconds is equal to 15 years, 15 weeks, 5 days, 18 hours, 52 minutes, 48 seconds.
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To count from 1 to 481,315,968 would take you about twenty-two 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 481315968 cubic inches would be around 65.3 feet tall.
Recreational maths with 481315968
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