490997144
490,997,144 is an even composite number composed of five prime numbers multiplied together.
490997144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 490997144:
23 × 11 × 29 × 421 × 457
(2 × 2 × 2 × 11 × 29 × 421 × 457)See below for interesting mathematical facts about the number 490997144 from the Numbermatics database.
Names of 490997144
- Cardinal: 490997144 can be written as Four hundred ninety million, nine hundred ninety-seven thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.90997144 × 108
Factors of 490997144
Divisors of 490997144
- Number of divisors d(n): 64
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Complete list of divisors:
1 2 4 8 11 22 29 44 58 88 116 232 319 421 457 638 842 914 1276 1684 1828 2552 3368 3656 4631 5027 9262 10054 12209 13253 18524 20108 24418 26506 37048 40216 48836 53012 97672 106024 134299 145783 192397 268598 291566 384794 537196 583132 769588 1074392 1166264 1539176 2116367 4232734 5579513 8465468 11159026 16930936 22318052 44636104 61374643 122749286 245498572 490997144
- Sum of all divisors σ(n): 1043690400
- Sum of proper divisors (its aliquot sum) s(n): 552693256
- 490997144 is an abundant number, because the sum of its proper divisors (552693256) is greater than itself. Its abundance is 61696112
Bases of 490997144
- Binary: 111010100010000000101100110002
- Hexadecimal: 0x1D440598
- Base-36: 84BRTK
Squares and roots of 490997144
- 490997144 squared (4909971442) is 241078195416156736
- 490997144 cubed (4909971443) is 118368705430006848832361984
-
The
square root of 490997144 is 22158.4553613287 -
The
cube root of 490997144 is 788.9079307827
Scales and comparisons
How big is 490997144?- 490,997,144 seconds is equal to 15 years, 31 weeks, 5 days, 20 hours, 5 minutes, 44 seconds.
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To count from 1 to 490,997,144 would take you about twenty-three 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 490997144 cubic inches would be around 65.7 feet tall.
Recreational maths with 490997144
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