466138125
466,138,125 is an odd composite number composed of four prime numbers multiplied together.
466138125 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 466138125:
33 × 54 × 23 × 1201
(3 × 3 × 3 × 5 × 5 × 5 × 5 × 23 × 1201)See below for interesting mathematical facts about the number 466138125 from the Numbermatics database.
Names of 466138125
- Cardinal: 466138125 can be written as Four hundred sixty-six million, one hundred thirty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.66138125 × 108
Factors of 466138125
Divisors of 466138125
- Number of divisors d(n): 80
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Complete list of divisors:
1 3 5 9 15 23 25 27 45 69 75 115 125 135 207 225 345 375 575 621 625 675 1035 1125 1201 1725 1875 2875 3105 3375 3603 5175 5625 6005 8625 10809 14375 15525 16875 18015 25875 27623 30025 32427 43125 54045 77625 82869 90075 129375 138115 150125 162135 248607 270225 388125 414345 450375 690575 745821 750625 810675 1243035 1351125 2071725 2251875 3452875 3729105 4053375 6215175 6755625 10358625 17264375 18645525 20266875 31075875 51793125 93227625 155379375 466138125
- Sum of all divisors σ(n): 901211520
- Sum of proper divisors (its aliquot sum) s(n): 435073395
- 466138125 is a deficient number, because the sum of its proper divisors (435073395) is less than itself. Its deficiency is 31064730
Bases of 466138125
- Binary: 110111100100010110100000011012
- Hexadecimal: 0x1BC8B40D
- Base-36: 7PIYH9
Squares and roots of 466138125
- 466138125 squared (4661381252) is 217284751578515625
- 466138125 cubed (4661381253) is 101284706691900063720703125
-
The
square root of 466138125 is 21590.2321664219 -
The
cube root of 466138125 is 775.3626467905
Scales and comparisons
How big is 466138125?- 466,138,125 seconds is equal to 14 years, 42 weeks, 5 days, 2 hours, 48 minutes, 45 seconds.
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To count from 1 to 466,138,125 would take you about twenty-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 466138125 cubic inches would be around 64.6 feet tall.
Recreational maths with 466138125
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