428917125
428,917,125 is an odd composite number composed of five prime numbers multiplied together.
428917125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 428917125:
3 × 53 × 7 × 13 × 12569
(3 × 5 × 5 × 5 × 7 × 13 × 12569)See below for interesting mathematical facts about the number 428917125 from the Numbermatics database.
Names of 428917125
- Cardinal: 428917125 can be written as Four hundred twenty-eight million, nine hundred seventeen thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.28917125 × 108
Factors of 428917125
Divisors of 428917125
- Number of divisors d(n): 64
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Complete list of divisors:
1 3 5 7 13 15 21 25 35 39 65 75 91 105 125 175 195 273 325 375 455 525 875 975 1365 1625 2275 2625 4875 6825 11375 12569 34125 37707 62845 87983 163397 188535 263949 314225 439915 490191 816985 942675 1143779 1319745 1571125 2199575 2450955 3431337 4084925 4713375 5718895 6598725 10997875 12254775 17156685 20424625 28594475 32993625 61273875 85783425 142972375 428917125
- Sum of all divisors σ(n): 878492160
- Sum of proper divisors (its aliquot sum) s(n): 449575035
- 428917125 is an abundant number, because the sum of its proper divisors (449575035) is greater than itself. Its abundance is 20657910
Bases of 428917125
- Binary: 110011001000011000001100001012
- Hexadecimal: 0x1990C185
- Base-36: 73D6KL
Squares and roots of 428917125
- 428917125 squared (4289171252) is 183969900118265625
- 428917125 cubed (4289171253) is 78907840645263651861328125
-
The
square root of 428917125 is 20710.3144592253 -
The
cube root of 428917125 is 754.1501042661
Scales and comparisons
How big is 428917125?- 428,917,125 seconds is equal to 13 years, 33 weeks, 1 day, 7 hours, 38 minutes, 45 seconds.
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To count from 1 to 428,917,125 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 428917125 cubic inches would be around 62.8 feet tall.
Recreational maths with 428917125
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