428346144
428,346,144 is an even composite number composed of four prime numbers multiplied together.
428346144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 428346144:
25 × 34 × 17 × 9721
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 17 × 9721)See below for interesting mathematical facts about the number 428346144 from the Numbermatics database.
Names of 428346144
- Cardinal: 428346144 can be written as Four hundred twenty-eight million, three hundred forty-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.28346144 × 108
Factors of 428346144
Divisors of 428346144
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5508 7344 9721 11016 14688 19442 22032 29163 38884 44064 58326 77768 87489 116652 155536 165257 174978 233304 262467 311072 330514 349956 466608 495771 524934 661028 699912 787401 933216 991542 1049868 1322056 1399824 1487313 1574802 1983084 2099736 2644112 2799648 2974626 3149604 3966168 4199472 4461939 5288224 5949252 6299208 7932336 8398944 8923878 11898504 12598416 13385817 15864672 17847756 23797008 25196832 26771634 35695512 47594016 53543268 71391024 107086536 142782048 214173072 428346144
- Sum of all divisors σ(n): 1333994508
- Sum of proper divisors (its aliquot sum) s(n): 905648364
- 428346144 is an abundant number, because the sum of its proper divisors (905648364) is greater than itself. Its abundance is 477302220
Bases of 428346144
- Binary: 110011000100000001011001000002
- Hexadecimal: 0x19880B20
- Base-36: 730Y00
Squares and roots of 428346144
- 428346144 squared (4283461442) is 183480419079668736
- 428346144 cubed (4283461443) is 78593130012280131862953984
-
The
square root of 428346144 is 20696.5249256971 -
The
cube root of 428346144 is 753.8153102985
Scales and comparisons
How big is 428346144?- 428,346,144 seconds is equal to 13 years, 32 weeks, 1 day, 17 hours, 2 minutes, 24 seconds.
-
To count from 1 to 428,346,144 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 428346144 cubic inches would be around 62.8 feet tall.
Recreational maths with 428346144
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The information we have on file for 428346144 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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