42135253125
42,135,253,125 is an odd composite number composed of five prime numbers multiplied together.
What does the number 42135253125 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 216 divisors.
42135253125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 42135253125:
3 × 55 × 72 × 372 × 67
(3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 37 × 37 × 67)See below for interesting mathematical facts about the number 42135253125 from the Numbermatics database.
Names of 42135253125
- Cardinal: 42135253125 can be written as Forty-two billion, one hundred thirty-five million, two hundred fifty-three thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.2135253125 × 1010
Factors of 42135253125
Divisors of 42135253125
- Number of divisors d(n): 216
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Complete list of divisors:
1 3 5 7 15 21 25 35 37 49 67 75 105 111 125 147 175 185 201 245 259 335 375 469 525 555 625 735 777 875 925 1005 1225 1295 1369 1407 1675 1813 1875 2345 2479 2625 2775 3125 3283 3675 3885 4107 4375 4625 5025 5439 6125 6475 6845 7035 7437 8375 9065 9375 9583 9849 11725 12395 13125 13875 16415 17353 18375 19425 20535 21875 23125 25125 27195 28749 30625 32375 34225 35175 37185 41875 45325 47915 49245 52059 58625 61975 65625 67081 69375 82075 86765 91723 91875 97125 102675 115625 121471 125625 135975 143745 153125 161875 171125 175875 185925 201243 209375 226625 239575 246225 260295 275169 293125 309875 335405 346875 364413 410375 433825 458615 459375 485625 513375 607355 628125 642061 679875 718725 809375 855625 879375 929625 1006215 1133125 1197875 1231125 1301475 1375845 1465625 1549375 1677025 1822065 1926183 2051875 2169125 2293075 2428125 2566875 3036775 3210305 3399375 3593625 4278125 4396875 4494427 4648125 5031075 5665625 5989375 6155625 6507375 6879225 7746875 8385125 9110325 9630915 10259375 10845625 11465375 12834375 13483281 15183875 16051525 16996875 17968125 22472135 23240625 25155375 29946875 30778125 32536875 34396125 41925625 45551625 48154575 54228125 57326875 67416405 75919375 80257625 89840625 112360675 125776875 162684375 171980625 209628125 227758125 240772875 286634375 337082025 379596875 401288125 561803375 628884375 859903125 1138790625 1203864375 1685410125 2006440625 2809016875 6019321875 8427050625 14045084375 42135253125
- Sum of all divisors σ(n): 85205983968
- Sum of proper divisors (its aliquot sum) s(n): 43070730843
- 42135253125 is an abundant number, because the sum of its proper divisors (43070730843) is greater than itself. Its abundance is 935477718
Bases of 42135253125
- Binary: 1001110011110111010011110000100001012
- Hexadecimal: 0x9CF74F085
- Base-36: JCU8PDX
Squares and roots of 42135253125
- 42135253125 squared (421352531252) is 1775379555907822265625
- 42135253125 cubed (421352531253) is 74806066981126180329620361328125
-
The
square root of 42135253125 is 205268.7339197083 -
The
cube root of 42135253125 is 3479.7539440739
Scales and comparisons
How big is 42135253125?- 42,135,253,125 seconds is equal to 1,339 years, 40 weeks, 12 hours, 58 minutes, 45 seconds.
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To count from 1 to 42,135,253,125 would take you about two thousand, six hundred seventy-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 42135253125 cubic inches would be around 290 feet tall.
Recreational maths with 42135253125
- 42135253125 backwards is 52135253124
- The number of decimal digits it has is: 11
- The sum of 42135253125's digits is 33
- More coming soon!
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