208753132
208,753,132 is an even composite number composed of six prime numbers multiplied together.
208753132 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 208753132:
22 × 72 × 17 × 31 × 43 × 47
(2 × 2 × 7 × 7 × 17 × 31 × 43 × 47)See below for interesting mathematical facts about the number 208753132 from the Numbermatics database.
Names of 208753132
- Cardinal: 208753132 can be written as Two hundred eight million, seven hundred fifty-three thousand, one hundred thirty-two.
Scientific notation
- Scientific notation: 2.08753132 × 108
Factors of 208753132
Divisors of 208753132
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 14 17 28 31 34 43 47 49 62 68 86 94 98 119 124 172 188 196 217 238 301 329 434 476 527 602 658 731 799 833 868 1054 1204 1316 1333 1457 1462 1519 1598 1666 2021 2107 2108 2303 2666 2914 2924 3038 3196 3332 3689 4042 4214 4606 5117 5332 5593 5828 6076 7378 8084 8428 9212 9331 10199 10234 11186 14147 14756 18662 20398 20468 22372 22661 24769 25823 28294 34357 35819 37324 39151 40796 45322 49538 51646 56588 62651 65317 68714 71393 71638 78302 90644 99029 99076 103292 125302 130634 137428 142786 143276 156604 158627 173383 198058 240499 250604 261268 285572 317254 346766 396116 438557 480998 634508 693532 877114 961996 1065067 1110389 1213681 1683493 1754228 2130134 2220778 2427362 3069899 3366986 4260268 4441556 4854724 6139798 6733972 7455469 12279596 14910938 29821876 52188283 104376566 208753132
- Sum of all divisors σ(n): 485388288
- Sum of proper divisors (its aliquot sum) s(n): 276635156
- 208753132 is an abundant number, because the sum of its proper divisors (276635156) is greater than itself. Its abundance is 67882024
Bases of 208753132
- Binary: 11000111000101010001111011002
- Hexadecimal: 0xC7151EC
- Base-36: 3GAAY4
Squares and roots of 208753132
- 208753132 squared (2087531322) is 43577870119809424
- 208753132 cubed (2087531323) is 9097016873399432503115968
-
The
square root of 208753132 is 14448.2916637227 -
The
cube root of 208753132 is 593.2134646823
Scales and comparisons
How big is 208753132?- 208,753,132 seconds is equal to 6 years, 33 weeks, 1 day, 2 hours, 58 minutes, 52 seconds.
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To count from 1 to 208,753,132 would take you about nine 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 208753132 cubic inches would be around 49.4 feet tall.
Recreational maths with 208753132
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