420724125
420,724,125 is an odd composite number composed of three prime numbers multiplied together.
420724125 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 420724125:
311 × 53 × 19
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 19)See below for interesting mathematical facts about the number 420724125 from the Numbermatics database.
Names of 420724125
- Cardinal: 420724125 can be written as Four hundred twenty million, seven hundred twenty-four thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.20724125 × 108
Factors of 420724125
Divisors of 420724125
- Number of divisors d(n): 96
-
Complete list of divisors:
1 3 5 9 15 19 25 27 45 57 75 81 95 125 135 171 225 243 285 375 405 475 513 675 729 855 1125 1215 1425 1539 2025 2187 2375 2565 3375 3645 4275 4617 6075 6561 7125 7695 10125 10935 12825 13851 18225 19683 21375 23085 30375 32805 38475 41553 54675 59049 64125 69255 91125 98415 115425 124659 164025 177147 192375 207765 273375 295245 346275 373977 492075 577125 623295 820125 885735 1038825 1121931 1476225 1731375 1869885 2460375 3116475 3365793 4428675 5194125 5609655 7381125 9349425 15582375 16828965 22143375 28048275 46747125 84144825 140241375 420724125
- Sum of all divisors σ(n): 829046400
- Sum of proper divisors (its aliquot sum) s(n): 408322275
- 420724125 is a deficient number, because the sum of its proper divisors (408322275) is less than itself. Its deficiency is 12401850
Bases of 420724125
- Binary: 110010001001110111101100111012
- Hexadecimal: 0x1913BD9D
- Base-36: 6YHKT9
Squares and roots of 420724125
- 420724125 squared (4207241252) is 177008789357015625
- 420724125 cubed (4207241253) is 74471868019539711439453125
-
The
square root of 420724125 is 20511.5607646029 -
The
cube root of 420724125 is 749.3173788933
Scales and comparisons
How big is 420724125?- 420,724,125 seconds is equal to 13 years, 19 weeks, 4 days, 11 hours, 48 minutes, 45 seconds.
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To count from 1 to 420,724,125 would take you about twenty 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 420724125 cubic inches would be around 62.4 feet tall.
Recreational maths with 420724125
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