506423268
506,423,268 is an even composite number composed of six prime numbers multiplied together.
506423268 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 506423268:
22 × 32 × 13 × 17 × 53 × 1201
(2 × 2 × 3 × 3 × 13 × 17 × 53 × 1201)See below for interesting mathematical facts about the number 506423268 from the Numbermatics database.
Names of 506423268
- Cardinal: 506423268 can be written as Five hundred six million, four hundred twenty-three thousand, two hundred sixty-eight.
Scientific notation
- Scientific notation: 5.06423268 × 108
Factors of 506423268
Divisors of 506423268
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 53 68 78 102 106 117 153 156 159 204 212 221 234 306 318 442 468 477 612 636 663 689 884 901 954 1201 1326 1378 1802 1908 1989 2067 2402 2652 2703 2756 3603 3604 3978 4134 4804 5406 6201 7206 7956 8109 8268 10809 10812 11713 12402 14412 15613 16218 20417 21618 23426 24804 31226 32436 35139 40834 43236 46839 46852 61251 62452 63653 70278 81668 93678 105417 122502 127306 140517 140556 183753 187356 190959 210834 245004 254612 265421 281034 367506 381918 421668 530842 562068 572877 735012 763836 796263 827489 1061684 1082101 1145754 1592526 1654978 2164202 2291508 2388789 2482467 3185052 3246303 3309956 4328404 4777578 4964934 6492606 7447401 9555156 9738909 9929868 12985212 14067313 14894802 19477818 28134626 29789604 38955636 42201939 56269252 84403878 126605817 168807756 253211634 506423268
- Sum of all divisors σ(n): 1488470256
- Sum of proper divisors (its aliquot sum) s(n): 982046988
- 506423268 is an abundant number, because the sum of its proper divisors (982046988) is greater than itself. Its abundance is 475623720
Bases of 506423268
- Binary: 111100010111101100111111001002
- Hexadecimal: 0x1E2F67E4
- Base-36: 8DIEP0
Squares and roots of 506423268
- 506423268 squared (5064232682) is 256464526371799824
- 506423268 cubed (5064232683) is 129879603571279049911904832
-
The
square root of 506423268 is 22503.8500705991 -
The
cube root of 506423268 is 797.0848423057
Scales and comparisons
How big is 506423268?- 506,423,268 seconds is equal to 16 years, 5 weeks, 2 days, 9 hours, 7 minutes, 48 seconds.
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To count from 1 to 506,423,268 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 506423268 cubic inches would be around 66.4 feet tall.
Recreational maths with 506423268
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