42102564
42,102,564 is an even composite number composed of five prime numbers multiplied together.
42102564 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 42102564:
22 × 3 × 73 × 53 × 193
(2 × 2 × 3 × 7 × 7 × 7 × 53 × 193)See below for interesting mathematical facts about the number 42102564 from the Numbermatics database.
Names of 42102564
- Cardinal: 42102564 can be written as Forty-two million, one hundred two thousand, five hundred sixty-four.
Scientific notation
- Scientific notation: 4.2102564 × 107
Factors of 42102564
Divisors of 42102564
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 193 196 212 294 318 343 371 386 579 588 636 686 742 772 1029 1113 1158 1351 1372 1484 2058 2226 2316 2597 2702 4053 4116 4452 5194 5404 7791 8106 9457 10229 10388 15582 16212 18179 18914 20458 28371 30687 31164 36358 37828 40916 54537 56742 61374 66199 71603 72716 109074 113484 122748 132398 143206 198597 214809 218148 264796 286412 397194 429618 501221 794388 859236 1002442 1503663 2004884 3007326 3508547 6014652 7017094 10525641 14034188 21051282 42102564
- Sum of all divisors σ(n): 117331200
- Sum of proper divisors (its aliquot sum) s(n): 75228636
- 42102564 is an abundant number, because the sum of its proper divisors (75228636) is greater than itself. Its abundance is 33126072
Bases of 42102564
- Binary: 101000001001101111001001002
- Hexadecimal: 0x2826F24
- Base-36: P2EJO
Squares and roots of 42102564
- 42102564 squared (421025642) is 1772625895374096
- 42102564 cubed (421025643) is 74632095208045180782144
-
The
square root of 42102564 is 6488.6488578131 -
The
cube root of 42102564 is 347.8853830495
Scales and comparisons
How big is 42102564?- 42,102,564 seconds is equal to 1 year, 17 weeks, 4 days, 7 hours, 9 minutes, 24 seconds.
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To count from 1 to 42,102,564 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 42102564 cubic inches would be around 29 feet tall.
Recreational maths with 42102564
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