468073125
468,073,125 is an odd composite number composed of five prime numbers multiplied together.
468073125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 468073125:
32 × 54 × 13 × 37 × 173
(3 × 3 × 5 × 5 × 5 × 5 × 13 × 37 × 173)See below for interesting mathematical facts about the number 468073125 from the Numbermatics database.
Names of 468073125
- Cardinal: 468073125 can be written as Four hundred sixty-eight million, seventy-three thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.68073125 × 108
Factors of 468073125
Divisors of 468073125
- Number of divisors d(n): 120
-
Complete list of divisors:
1 3 5 9 13 15 25 37 39 45 65 75 111 117 125 173 185 195 225 325 333 375 481 519 555 585 625 865 925 975 1125 1443 1557 1625 1665 1875 2249 2405 2595 2775 2925 4325 4329 4625 4875 5625 6401 6747 7215 7785 8125 8325 11245 12025 12975 13875 14625 19203 20241 21625 21645 23125 24375 32005 33735 36075 38925 41625 56225 57609 60125 64875 69375 73125 83213 96015 101205 108125 108225 160025 168675 180375 194625 208125 249639 281125 288045 300625 324375 416065 480075 506025 541125 748917 800125 843375 901875 973125 1248195 1405625 1440225 2080325 2400375 2530125 2705625 3744585 4000625 4216875 6240975 7201125 10401625 12001875 12650625 18722925 31204875 36005625 52008125 93614625 156024375 468073125
- Sum of all divisors σ(n): 939842904
- Sum of proper divisors (its aliquot sum) s(n): 471769779
- 468073125 is an abundant number, because the sum of its proper divisors (471769779) is greater than itself. Its abundance is 3696654
Bases of 468073125
- Binary: 110111110011000111010101001012
- Hexadecimal: 0x1BE63AA5
- Base-36: 7QOFJ9
Squares and roots of 468073125
- 468073125 squared (4680731252) is 219092450347265625
- 468073125 cubed (4680731253) is 102551287897951956298828125
-
The
square root of 468073125 is 21634.9976889299 -
The
cube root of 468073125 is 776.4340427267
Scales and comparisons
How big is 468073125?- 468,073,125 seconds is equal to 14 years, 45 weeks, 6 days, 12 hours, 18 minutes, 45 seconds.
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To count from 1 to 468,073,125 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 468073125 cubic inches would be around 64.7 feet tall.
Recreational maths with 468073125
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