13864032
13,864,032 is an even composite number composed of five prime numbers multiplied together.
13864032 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 13864032:
25 × 32 × 7 × 13 × 232
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 23 × 23)See below for interesting mathematical facts about the number 13864032 from the Numbermatics database.
Names of 13864032
- Cardinal: 13864032 can be written as Thirteen million, eight hundred sixty-four thousand and thirty-two.
Scientific notation
- Scientific notation: 1.3864032 × 107
Factors of 13864032
Divisors of 13864032
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 28 32 36 39 42 46 48 52 56 63 69 72 78 84 91 92 96 104 112 117 126 138 144 156 161 168 182 184 207 208 224 234 252 273 276 288 299 312 322 336 364 368 414 416 468 483 504 529 546 552 598 624 644 672 728 736 819 828 897 936 966 1008 1058 1092 1104 1196 1248 1288 1449 1456 1587 1638 1656 1794 1872 1932 2016 2093 2116 2184 2208 2392 2576 2691 2898 2912 3174 3276 3312 3588 3703 3744 3864 4186 4232 4368 4761 4784 5152 5382 5796 6279 6348 6552 6624 6877 7176 7406 7728 8372 8464 8736 9522 9568 10764 11109 11592 12558 12696 13104 13754 14352 14812 15456 16744 16928 18837 19044 20631 21528 22218 23184 25116 25392 26208 27508 28704 29624 33327 33488 37674 38088 41262 43056 44436 46368 48139 50232 50784 55016 59248 61893 66654 66976 75348 76176 82524 86112 88872 96278 100464 110032 118496 123786 133308 144417 150696 152352 165048 177744 192556 200928 220064 247572 266616 288834 301392 330096 355488 385112 433251 495144 533232 577668 602784 660192 770224 866502 990288 1066464 1155336 1540448 1733004 1980576 2310672 3466008 4621344 6932016 13864032
- Sum of all divisors σ(n): 50725584
- Sum of proper divisors (its aliquot sum) s(n): 36861552
- 13864032 is an abundant number, because the sum of its proper divisors (36861552) is greater than itself. Its abundance is 22997520
Bases of 13864032
- Binary: 1101001110001100011000002
- Hexadecimal: 0xD38C60
- Base-36: 895K0
Squares and roots of 13864032
- 13864032 squared (138640322) is 192211383297024
- 13864032 cubed (138640323) is 2664824768794206240768
-
The
square root of 13864032 is 3723.4435674521 -
The
cube root of 13864032 is 240.2314434031
Scales and comparisons
How big is 13864032?- 13,864,032 seconds is equal to 22 weeks, 6 days, 11 hours, 7 minutes, 12 seconds.
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To count from 1 to 13,864,032 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 13864032 cubic inches would be around 20 feet tall.
Recreational maths with 13864032
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