420472728
420,472,728 is an even composite number composed of five prime numbers multiplied together.
420472728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 420472728:
23 × 33 × 13 × 137 × 1093
(2 × 2 × 2 × 3 × 3 × 3 × 13 × 137 × 1093)See below for interesting mathematical facts about the number 420472728 from the Numbermatics database.
Names of 420472728
- Cardinal: 420472728 can be written as Four hundred twenty million, four hundred seventy-two thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.20472728 × 108
Factors of 420472728
Divisors of 420472728
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 137 156 216 234 274 312 351 411 468 548 702 822 936 1093 1096 1233 1404 1644 1781 2186 2466 2808 3279 3288 3562 3699 4372 4932 5343 6558 7124 7398 8744 9837 9864 10686 13116 14209 14248 14796 16029 19674 21372 26232 28418 29511 29592 32058 39348 42627 42744 48087 56836 59022 64116 78696 85254 96174 113672 118044 127881 128232 149741 170508 192348 236088 255762 299482 341016 383643 384696 449223 511524 598964 767286 898446 1023048 1197928 1347669 1534572 1796892 1946633 2695338 3069144 3593784 3893266 4043007 5390676 5839899 7786532 8086014 10781352 11679798 15573064 16172028 17519697 23359596 32344056 35039394 46719192 52559091 70078788 105118182 140157576 210236364 420472728
- Sum of all divisors σ(n): 1268164800
- Sum of proper divisors (its aliquot sum) s(n): 847692072
- 420472728 is an abundant number, because the sum of its proper divisors (847692072) is greater than itself. Its abundance is 427219344
Bases of 420472728
- Binary: 110010000111111100111100110002
- Hexadecimal: 0x190FE798
- Base-36: 6YC6U0
Squares and roots of 420472728
- 420472728 squared (4204727282) is 176797314991761984
- 420472728 cubed (4204727283) is 74338449337661458939172352
-
The
square root of 420472728 is 20505.4316706575 -
The
cube root of 420472728 is 749.1681016011
Scales and comparisons
How big is 420472728?- 420,472,728 seconds is equal to 13 years, 19 weeks, 1 day, 13 hours, 58 minutes, 48 seconds.
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To count from 1 to 420,472,728 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 420472728 cubic inches would be around 62.4 feet tall.
Recreational maths with 420472728
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The information we have on file for 420472728 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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