420259125
420,259,125 is an odd composite number composed of six prime numbers multiplied together.
420259125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 420259125:
3 × 53 × 11 × 13 × 17 × 461
(3 × 5 × 5 × 5 × 11 × 13 × 17 × 461)See below for interesting mathematical facts about the number 420259125 from the Numbermatics database.
Names of 420259125
- Cardinal: 420259125 can be written as Four hundred twenty million, two hundred fifty-nine thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.20259125 × 108
Factors of 420259125
Divisors of 420259125
- Number of divisors d(n): 128
-
Complete list of divisors:
1 3 5 11 13 15 17 25 33 39 51 55 65 75 85 125 143 165 187 195 221 255 275 325 375 425 429 461 561 663 715 825 935 975 1105 1275 1375 1383 1625 2125 2145 2305 2431 2805 3315 3575 4125 4675 4875 5071 5525 5993 6375 6915 7293 7837 10725 11525 12155 14025 15213 16575 17875 17979 23375 23511 25355 27625 29965 34575 36465 39185 53625 57625 60775 65923 70125 76065 82875 86207 89895 101881 117555 126775 149825 172875 182325 195925 197769 258621 303875 305643 329615 380325 431035 449475 509405 587775 633875 749125 911625 979625 988845 1120691 1293105 1528215 1648075 1901625 2155175 2247375 2547025 2938875 3362073 4944225 5603455 6465525 7641075 8240375 10775875 12735125 16810365 24721125 28017275 32327625 38205375 84051825 140086375 420259125
- Sum of all divisors σ(n): 871782912
- Sum of proper divisors (its aliquot sum) s(n): 451523787
- 420259125 is an abundant number, because the sum of its proper divisors (451523787) is greater than itself. Its abundance is 31264662
Bases of 420259125
- Binary: 110010000110010100101001101012
- Hexadecimal: 0x190CA535
- Base-36: 6Y7M0L
Squares and roots of 420259125
- 420259125 squared (4202591252) is 176617732145765625
- 420259125 cubed (4202591253) is 74225213571063834017578125
-
The
square root of 420259125 is 20500.2225597675 -
The
cube root of 420259125 is 749.0412192861
Scales and comparisons
How big is 420259125?- 420,259,125 seconds is equal to 13 years, 18 weeks, 6 days, 2 hours, 38 minutes, 45 seconds.
-
To count from 1 to 420,259,125 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 420259125 cubic inches would be around 62.4 feet tall.
Recreational maths with 420259125
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