470838225
470,838,225 is an odd composite number composed of five prime numbers multiplied together.
470838225 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eight divisors.
Prime factorization of 470838225:
3 × 52 × 112 × 132 × 307
(3 × 5 × 5 × 11 × 11 × 13 × 13 × 307)See below for interesting mathematical facts about the number 470838225 from the Numbermatics database.
Names of 470838225
- Cardinal: 470838225 can be written as Four hundred seventy million, eight hundred thirty-eight thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 4.70838225 × 108
Factors of 470838225
Divisors of 470838225
- Number of divisors d(n): 108
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Complete list of divisors:
1 3 5 11 13 15 25 33 39 55 65 75 121 143 165 169 195 275 307 325 363 429 507 605 715 825 845 921 975 1535 1573 1815 1859 2145 2535 3025 3377 3575 3991 4225 4605 4719 5577 7675 7865 9075 9295 10131 10725 11973 12675 16885 19955 20449 23025 23595 27885 37147 39325 43901 46475 50655 51883 59865 61347 84425 99775 102245 111441 117975 131703 139425 155649 185735 219505 253275 259415 299325 306735 482911 511225 557205 570713 658515 778245 928675 1097525 1297075 1448733 1533675 1712139 2414555 2786025 2853565 3292575 3891225 6277843 7243665 8560695 12072775 14267825 18833529 31389215 36218325 42803475 94167645 156946075 470838225
- Sum of all divisors σ(n): 929555088
- Sum of proper divisors (its aliquot sum) s(n): 458716863
- 470838225 is a deficient number, because the sum of its proper divisors (458716863) is less than itself. Its deficiency is 12121362
Bases of 470838225
- Binary: 111000001000001101011110100012
- Hexadecimal: 0x1C106BD1
- Base-36: 7SBP3L
Squares and roots of 470838225
- 470838225 squared (4708382252) is 221688634121150625
- 470838225 cubed (4708382253) is 104379482992276995232640625
-
The
square root of 470838225 is 21698.8069948557 -
The
cube root of 470838225 is 777.9599467667
Scales and comparisons
How big is 470838225?- 470,838,225 seconds is equal to 14 years, 50 weeks, 3 days, 12 hours, 23 minutes, 45 seconds.
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To count from 1 to 470,838,225 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 470838225 cubic inches would be around 64.8 feet tall.
Recreational maths with 470838225
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