420972468
420,972,468 is an even composite number composed of six prime numbers multiplied together.
420972468 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 420972468:
22 × 3 × 7 × 29 × 61 × 2833
(2 × 2 × 3 × 7 × 29 × 61 × 2833)See below for interesting mathematical facts about the number 420972468 from the Numbermatics database.
Names of 420972468
- Cardinal: 420972468 can be written as Four hundred twenty million, nine hundred seventy-two thousand, four hundred sixty-eight.
Scientific notation
- Scientific notation: 4.20972468 × 108
Factors of 420972468
Divisors of 420972468
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 6 7 12 14 21 28 29 42 58 61 84 87 116 122 174 183 203 244 348 366 406 427 609 732 812 854 1218 1281 1708 1769 2436 2562 2833 3538 5124 5307 5666 7076 8499 10614 11332 12383 16998 19831 21228 24766 33996 37149 39662 49532 59493 74298 79324 82157 118986 148596 164314 172813 237972 246471 328628 345626 492942 518439 575099 691252 985884 1036878 1150198 1209691 1725297 2073756 2300396 2419382 3450594 3629073 4838764 5011577 6901188 7258146 10023154 14516292 15034731 20046308 30069462 35081039 60138924 70162078 105243117 140324156 210486234 420972468
- Sum of all divisors σ(n): 1180757760
- Sum of proper divisors (its aliquot sum) s(n): 759785292
- 420972468 is an abundant number, because the sum of its proper divisors (759785292) is greater than itself. Its abundance is 338812824
Bases of 420972468
- Binary: 110010001011110000111101101002
- Hexadecimal: 0x191787B4
- Base-36: 6YMWFO
Squares and roots of 420972468
- 420972468 squared (4209724682) is 177217818814011024
- 420972468 cubed (4209724683) is 74603822559711053752487232
-
The
square root of 420972468 is 20517.6136039257 -
The
cube root of 420972468 is 749.4647843721
Scales and comparisons
How big is 420972468?- 420,972,468 seconds is equal to 13 years, 20 weeks, 8 hours, 47 minutes, 48 seconds.
-
To count from 1 to 420,972,468 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 420972468 cubic inches would be around 62.5 feet tall.
Recreational maths with 420972468
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The information we have on file for 420972468 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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