5004144
5,004,144 is an even composite number composed of five prime numbers multiplied together.
5004144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 5004144:
24 × 32 × 19 × 31 × 59
(2 × 2 × 2 × 2 × 3 × 3 × 19 × 31 × 59)See below for interesting mathematical facts about the number 5004144 from the Numbermatics database.
Names of 5004144
- Cardinal: 5004144 can be written as Five million, four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 5.004144 × 106
Factors of 5004144
Divisors of 5004144
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 31 36 38 48 57 59 62 72 76 93 114 118 124 144 152 171 177 186 228 236 248 279 304 342 354 372 456 472 496 531 558 589 684 708 744 912 944 1062 1116 1121 1178 1368 1416 1488 1767 1829 2124 2232 2242 2356 2736 2832 3363 3534 3658 4248 4464 4484 4712 5301 5487 6726 7068 7316 8496 8968 9424 10089 10602 10974 13452 14136 14632 16461 17936 20178 21204 21948 26904 28272 29264 32922 34751 40356 42408 43896 53808 65844 69502 80712 84816 87792 104253 131688 139004 161424 208506 263376 278008 312759 417012 556016 625518 834024 1251036 1668048 2502072 5004144
- Sum of all divisors σ(n): 15475200
- Sum of proper divisors (its aliquot sum) s(n): 10471056
- 5004144 is an abundant number, because the sum of its proper divisors (10471056) is greater than itself. Its abundance is 5466912
Bases of 5004144
- Binary: 100110001011011011100002
- Hexadecimal: 0x4C5B70
- Base-36: 2Z980
Squares and roots of 5004144
- 5004144 squared (50041442) is 25041457172736
- 5004144 cubed (50041443) is 125311057662203817984
-
The
square root of 5004144 is 2236.9944121523 -
The
cube root of 5004144 is 171.0448225581
Scales and comparisons
How big is 5004144?- 5,004,144 seconds is equal to 8 weeks, 1 day, 22 hours, 2 minutes, 24 seconds.
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To count from 1 to 5,004,144 would take you about twelve weeks!
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 5004144 cubic inches would be around 14.3 feet tall.
Recreational maths with 5004144
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