42131664
42,131,664 is an even composite number composed of five prime numbers multiplied together.
42131664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred divisors.
Prime factorization of 42131664:
24 × 34 × 19 × 29 × 59
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 19 × 29 × 59)See below for interesting mathematical facts about the number 42131664 from the Numbermatics database.
Names of 42131664
- Cardinal: 42131664 can be written as Forty-two million, one hundred thirty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.2131664 × 107
Factors of 42131664
Divisors of 42131664
- Number of divisors d(n): 200
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 29 36 38 48 54 57 58 59 72 76 81 87 108 114 116 118 144 152 162 171 174 177 216 228 232 236 261 304 324 342 348 354 432 456 464 472 513 522 531 551 648 684 696 708 783 912 944 1026 1044 1062 1102 1121 1296 1368 1392 1416 1539 1566 1593 1653 1711 2052 2088 2124 2204 2242 2349 2736 2832 3078 3132 3186 3306 3363 3422 4104 4176 4248 4408 4484 4698 4779 4959 5133 6156 6264 6372 6612 6726 6844 8208 8496 8816 8968 9396 9558 9918 10089 10266 12312 12528 12744 13224 13452 13688 14877 15399 17936 18792 19116 19836 20178 20532 24624 25488 26448 26904 27376 29754 30267 30798 32509 37584 38232 39672 40356 41064 44631 46197 53808 59508 60534 61596 65018 76464 79344 80712 82128 89262 90801 92394 97527 119016 121068 123192 130036 138591 161424 178524 181602 184788 195054 238032 242136 246384 260072 277182 292581 357048 363204 369576 390108 484272 520144 554364 585162 714096 726408 739152 780216 877743 1108728 1170324 1452816 1560432 1755486 2217456 2340648 2633229 3510972 4681296 5266458 7021944 10532916 14043888 21065832 42131664
- Sum of all divisors σ(n): 135036000
- Sum of proper divisors (its aliquot sum) s(n): 92904336
- 42131664 is an abundant number, because the sum of its proper divisors (92904336) is greater than itself. Its abundance is 50772672
Bases of 42131664
- Binary: 101000001011100000110100002
- Hexadecimal: 0x282E0D0
- Base-36: P3100
Squares and roots of 42131664
- 42131664 squared (421316642) is 1775077111408896
- 42131664 cubed (421316643) is 74786952431970172882944
-
The
square root of 42131664 is 6490.8908479499 -
The
cube root of 42131664 is 347.9655138239
Scales and comparisons
How big is 42131664?- 42,131,664 seconds is equal to 1 year, 17 weeks, 4 days, 15 hours, 14 minutes, 24 seconds.
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To count from 1 to 42,131,664 would take you about two 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 42131664 cubic inches would be around 29 feet tall.
Recreational maths with 42131664
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