13978008
13,978,008 is an even composite number composed of five prime numbers multiplied together.
13978008 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 13978008:
23 × 34 × 11 × 37 × 53
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 37 × 53)See below for interesting mathematical facts about the number 13978008 from the Numbermatics database.
Names of 13978008
- Cardinal: 13978008 can be written as Thirteen million, nine hundred seventy-eight thousand and eight.
Scientific notation
- Scientific notation: 1.3978008 × 107
Factors of 13978008
Divisors of 13978008
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 37 44 53 54 66 72 74 81 88 99 106 108 111 132 148 159 162 198 212 216 222 264 296 297 318 324 333 396 407 424 444 477 583 594 636 648 666 792 814 888 891 954 999 1166 1188 1221 1272 1332 1431 1628 1749 1782 1908 1961 1998 2332 2376 2442 2664 2862 2997 3256 3498 3564 3663 3816 3922 3996 4293 4664 4884 5247 5724 5883 5994 6996 7128 7326 7844 7992 8586 9768 10494 10989 11448 11766 11988 13992 14652 15688 15741 17172 17649 20988 21571 21978 23532 23976 29304 31482 32967 34344 35298 41976 43142 43956 47064 47223 52947 62964 64713 65934 70596 86284 87912 94446 105894 125928 129426 131868 141192 158841 172568 188892 194139 211788 258852 263736 317682 377784 388278 423576 517704 582417 635364 776556 1164834 1270728 1553112 1747251 2329668 3494502 4659336 6989004 13978008
- Sum of all divisors σ(n): 44692560
- Sum of proper divisors (its aliquot sum) s(n): 30714552
- 13978008 is an abundant number, because the sum of its proper divisors (30714552) is greater than itself. Its abundance is 16736544
Bases of 13978008
- Binary: 1101010101001001100110002
- Hexadecimal: 0xD54998
- Base-36: 8BLI0
Squares and roots of 13978008
- 13978008 squared (139780082) is 195384707648064
- 13978008 cubed (139780083) is 2731089006582299776512
-
The
square root of 13978008 is 3738.7174271399 -
The
cube root of 13978008 is 240.8879606395
Scales and comparisons
How big is 13978008?- 13,978,008 seconds is equal to 23 weeks, 18 hours, 46 minutes, 48 seconds.
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To count from 1 to 13,978,008 would take you about thirty-four 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 13978008 cubic inches would be around 20.1 feet tall.
Recreational maths with 13978008
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