506972664
506,972,664 is an even composite number composed of five prime numbers multiplied together.
506972664 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 506972664:
23 × 32 × 11 × 29 × 22073
(2 × 2 × 2 × 3 × 3 × 11 × 29 × 22073)See below for interesting mathematical facts about the number 506972664 from the Numbermatics database.
Names of 506972664
- Cardinal: 506972664 can be written as Five hundred six million, nine hundred seventy-two thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 5.06972664 × 108
Factors of 506972664
Divisors of 506972664
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 396 522 638 696 792 957 1044 1276 1914 2088 2552 2871 3828 5742 7656 11484 22073 22968 44146 66219 88292 132438 176584 198657 242803 264876 397314 485606 529752 640117 728409 794628 971212 1280234 1456818 1589256 1920351 1942424 2185227 2560468 2913636 3840702 4370454 5120936 5761053 5827272 7041287 7681404 8740908 11522106 14082574 15362808 17481816 21123861 23044212 28165148 42247722 46088424 56330296 63371583 84495444 126743166 168990888 253486332 506972664
- Sum of all divisors σ(n): 1549594800
- Sum of proper divisors (its aliquot sum) s(n): 1042622136
- 506972664 is an abundant number, because the sum of its proper divisors (1042622136) is greater than itself. Its abundance is 535649472
Bases of 506972664
- Binary: 111100011011111001001111110002
- Hexadecimal: 0x1E37C9F8
- Base-36: 8DU6M0
Squares and roots of 506972664
- 506972664 squared (5069726642) is 257021282043256896
- 506972664 cubed (5069726643) is 130302764062165311801490944
-
The
square root of 506972664 is 22516.0534730223 -
The
cube root of 506972664 is 797.3729787249
Scales and comparisons
How big is 506972664?- 506,972,664 seconds is equal to 16 years, 6 weeks, 1 day, 17 hours, 44 minutes, 24 seconds.
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To count from 1 to 506,972,664 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 506972664 cubic inches would be around 66.4 feet tall.
Recreational maths with 506972664
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