4008144
4,008,144 is an even composite number composed of five prime numbers multiplied together.
4008144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 4008144:
24 × 3 × 7 × 79 × 151
(2 × 2 × 2 × 2 × 3 × 7 × 79 × 151)See below for interesting mathematical facts about the number 4008144 from the Numbermatics database.
Names of 4008144
- Cardinal: 4008144 can be written as Four million, eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.008144 × 106
Factors of 4008144
Divisors of 4008144
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 151 158 168 237 302 316 336 453 474 553 604 632 906 948 1057 1106 1208 1264 1659 1812 1896 2114 2212 2416 3171 3318 3624 3792 4228 4424 6342 6636 7248 8456 8848 11929 12684 13272 16912 23858 25368 26544 35787 47716 50736 71574 83503 95432 143148 167006 190864 250509 286296 334012 501018 572592 668024 1002036 1336048 2004072 4008144
- Sum of all divisors σ(n): 12062720
- Sum of proper divisors (its aliquot sum) s(n): 8054576
- 4008144 is an abundant number, because the sum of its proper divisors (8054576) is greater than itself. Its abundance is 4046432
Bases of 4008144
- Binary: 11110100101000110100002
- Hexadecimal: 0x3D28D0
- Base-36: 2DWPC
Squares and roots of 4008144
- 4008144 squared (40081442) is 16065218324736
- 4008144 cubed (40081443) is 64391708436980649984
-
The
square root of 4008144 is 2002.0349647297 -
The
cube root of 4008144 is 158.8477637837
Scales and comparisons
How big is 4008144?- 4,008,144 seconds is equal to 6 weeks, 4 days, 9 hours, 22 minutes, 24 seconds.
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To count from 1 to 4,008,144 would take you about nine 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 4008144 cubic inches would be around 13.2 feet tall.
Recreational maths with 4008144
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