642052125
642,052,125 is an odd composite number composed of five prime numbers multiplied together.
642052125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 642052125:
32 × 53 × 11 × 132 × 307
(3 × 3 × 5 × 5 × 5 × 11 × 13 × 13 × 307)See below for interesting mathematical facts about the number 642052125 from the Numbermatics database.
Names of 642052125
- Cardinal: 642052125 can be written as Six hundred forty-two million, fifty-two thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 6.42052125 × 108
Factors of 642052125
Divisors of 642052125
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 125 143 165 169 195 225 275 307 325 375 429 495 507 585 715 825 845 921 975 1125 1287 1375 1521 1535 1625 1859 2145 2475 2535 2763 2925 3377 3575 3991 4125 4225 4605 4875 5577 6435 7605 7675 9295 10131 10725 11973 12375 12675 13815 14625 16731 16885 17875 19955 21125 23025 27885 30393 32175 35919 38025 38375 43901 46475 50655 51883 53625 59865 63375 69075 83655 84425 99775 115125 131703 139425 151965 155649 160875 179595 190125 219505 232375 253275 259415 299325 345375 395109 418275 422125 466947 498875 570713 658515 697125 759825 778245 897975 1097525 1266375 1297075 1496625 1712139 1975545 2091375 2334735 2853565 3292575 3799125 3891225 4489875 5136417 5487625 6485375 8560695 9877725 11673675 14267825 16462875 19456125 25682085 42803475 49388625 58368375 71339125 128410425 214017375 642052125
- Sum of all divisors σ(n): 1371674304
- Sum of proper divisors (its aliquot sum) s(n): 729622179
- 642052125 is an abundant number, because the sum of its proper divisors (729622179) is greater than itself. Its abundance is 87570054
Bases of 642052125
- Binary: 1001100100010011110000000111012
- Hexadecimal: 0x2644F01D
- Base-36: AM9EL9
Squares and roots of 642052125
- 642052125 squared (6420521252) is 412230931217015625
- 642052125 cubed (6420521253) is 264673745378613718189453125
-
The
square root of 642052125 is 25338.7475025899 -
The
cube root of 642052125 is 862.6939702369
Scales and comparisons
How big is 642052125?- 642,052,125 seconds is equal to 20 years, 21 weeks, 4 days, 3 hours, 48 minutes, 45 seconds.
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To count from 1 to 642,052,125 would take you about thirty 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 642052125 cubic inches would be around 71.9 feet tall.
Recreational maths with 642052125
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