442214132
442,214,132 is an even composite number composed of six prime numbers multiplied together.
442214132 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 442214132:
22 × 17 × 19 × 31 × 61 × 181
(2 × 2 × 17 × 19 × 31 × 61 × 181)See below for interesting mathematical facts about the number 442214132 from the Numbermatics database.
Names of 442214132
- Cardinal: 442214132 can be written as Four hundred forty-two million, two hundred fourteen thousand, one hundred thirty-two.
Scientific notation
- Scientific notation: 4.42214132 × 108
Factors of 442214132
Divisors of 442214132
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 17 19 31 34 38 61 62 68 76 122 124 181 244 323 362 527 589 646 724 1037 1054 1159 1178 1292 1891 2074 2108 2318 2356 3077 3439 3782 4148 4636 5611 6154 6878 7564 10013 11041 11222 12308 13756 19703 20026 22082 22444 32147 35929 39406 40052 44164 58463 64294 71858 78812 95387 106609 116926 128588 143716 187697 190774 209779 213218 233852 342271 375394 381548 419558 426436 610793 684542 750788 839116 1221586 1369084 1812353 2443172 3566243 3624706 5818607 6503149 7132486 7249412 11637214 13006298 14264972 23274428 26012596 110553533 221107066 442214132
- Sum of all divisors σ(n): 909941760
- Sum of proper divisors (its aliquot sum) s(n): 467727628
- 442214132 is an abundant number, because the sum of its proper divisors (467727628) is greater than itself. Its abundance is 25513496
Bases of 442214132
- Binary: 110100101101110100110111101002
- Hexadecimal: 0x1A5BA6F4
- Base-36: 7BA6LW
Squares and roots of 442214132
- 442214132 squared (4422141322) is 195553338540513424
- 442214132 cubed (4422141323) is 86476449862395290628507968
-
The
square root of 442214132 is 21028.8880352719 -
The
cube root of 442214132 is 761.8641518813
Scales and comparisons
How big is 442214132?- 442,214,132 seconds is equal to 14 years, 3 weeks, 1 day, 5 hours, 15 minutes, 32 seconds.
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To count from 1 to 442,214,132 would take you about twenty-one 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 442214132 cubic inches would be around 63.5 feet tall.
Recreational maths with 442214132
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