424728672
424,728,672 is an even composite number composed of five prime numbers multiplied together.
424728672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 424728672:
25 × 3 × 23 × 149 × 1291
(2 × 2 × 2 × 2 × 2 × 3 × 23 × 149 × 1291)See below for interesting mathematical facts about the number 424728672 from the Numbermatics database.
Names of 424728672
- Cardinal: 424728672 can be written as Four hundred twenty-four million, seven hundred twenty-eight thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 4.24728672 × 108
Factors of 424728672
Divisors of 424728672
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 149 184 276 298 368 447 552 596 736 894 1104 1192 1291 1788 2208 2384 2582 3427 3576 3873 4768 5164 6854 7152 7746 10281 10328 13708 14304 15492 20562 20656 27416 29693 30984 41124 41312 54832 59386 61968 82248 89079 109664 118772 123936 164496 178158 192359 237544 328992 356316 384718 475088 577077 712632 769436 950176 1154154 1425264 1538872 2308308 2850528 3077744 4424257 4616616 6155488 8848514 9233232 13272771 17697028 18466464 26545542 35394056 53091084 70788112 106182168 141576224 212364336 424728672
- Sum of all divisors σ(n): 1172102400
- Sum of proper divisors (its aliquot sum) s(n): 747373728
- 424728672 is an abundant number, because the sum of its proper divisors (747373728) is greater than itself. Its abundance is 322645056
Bases of 424728672
- Binary: 110010101000011011000011000002
- Hexadecimal: 0x1950D860
- Base-36: 70VEQO
Squares and roots of 424728672
- 424728672 squared (4247286722) is 180394444818883584
- 424728672 cubed (4247286723) is 76618692984101705154920448
-
The
square root of 424728672 is 20608.9464068399 -
The
cube root of 424728672 is 751.6872662193
Scales and comparisons
How big is 424728672?- 424,728,672 seconds is equal to 13 years, 26 weeks, 1 day, 20 hours, 11 minutes, 12 seconds.
-
To count from 1 to 424,728,672 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 424728672 cubic inches would be around 62.6 feet tall.
Recreational maths with 424728672
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