513424128
513,424,128 is an even composite number composed of five prime numbers multiplied together.
513424128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 513424128:
28 × 3 × 7 × 43 × 2221
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 43 × 2221)See below for interesting mathematical facts about the number 513424128 from the Numbermatics database.
Names of 513424128
- Cardinal: 513424128 can be written as Five hundred thirteen million, four hundred twenty-four thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 5.13424128 × 108
Factors of 513424128
Divisors of 513424128
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 256 258 301 336 344 384 448 516 602 672 688 768 896 903 1032 1204 1344 1376 1792 1806 2064 2221 2408 2688 2752 3612 4128 4442 4816 5376 5504 6663 7224 8256 8884 9632 11008 13326 14448 15547 16512 17768 19264 26652 28896 31094 33024 35536 38528 46641 53304 57792 62188 71072 77056 93282 95503 106608 115584 124376 142144 186564 191006 213216 231168 248752 284288 286509 373128 382012 426432 497504 568576 573018 668521 746256 764024 852864 995008 1146036 1337042 1492512 1528048 1705728 1990016 2005563 2292072 2674084 2985024 3056096 3980032 4011126 4584144 5348168 5970048 6112192 8022252 9168288 10696336 11940096 12224384 16044504 18336576 21392672 24448768 32089008 36673152 42785344 64178016 73346304 85570688 128356032 171141376 256712064 513424128
- Sum of all divisors σ(n): 1598702336
- Sum of proper divisors (its aliquot sum) s(n): 1085278208
- 513424128 is an abundant number, because the sum of its proper divisors (1085278208) is greater than itself. Its abundance is 571854080
Bases of 513424128
- Binary: 111101001101000111011000000002
- Hexadecimal: 0x1E9A3B00
- Base-36: 8HOGLC
Squares and roots of 513424128
- 513424128 squared (5134241282) is 263604335212560384
- 513424128 cubed (5134241283) is 135340825943528509802545152
-
The
square root of 513424128 is 22658.8642257285 -
The
cube root of 513424128 is 800.7410466837
Scales and comparisons
How big is 513424128?- 513,424,128 seconds is equal to 16 years, 16 weeks, 6 days, 9 hours, 48 minutes, 48 seconds.
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To count from 1 to 513,424,128 would take you about twenty-four 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 513424128 cubic inches would be around 66.7 feet tall.
Recreational maths with 513424128
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