490071312
490,071,312 is an even composite number composed of five prime numbers multiplied together.
490071312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 490071312:
24 × 32 × 31 × 311 × 353
(2 × 2 × 2 × 2 × 3 × 3 × 31 × 311 × 353)See below for interesting mathematical facts about the number 490071312 from the Numbermatics database.
Names of 490071312
- Cardinal: 490071312 can be written as Four hundred ninety million, seventy-one thousand, three hundred twelve.
Scientific notation
- Scientific notation: 4.90071312 × 108
Factors of 490071312
Divisors of 490071312
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 311 353 372 496 558 622 706 744 933 1059 1116 1244 1412 1488 1866 2118 2232 2488 2799 2824 3177 3732 4236 4464 4976 5598 5648 6354 7464 8472 9641 10943 11196 12708 14928 16944 19282 21886 22392 25416 28923 32829 38564 43772 44784 50832 57846 65658 77128 86769 87544 98487 109783 115692 131316 154256 173538 175088 196974 219566 231384 262632 329349 347076 393948 439132 462768 525264 658698 694152 787896 878264 988047 1317396 1388304 1575792 1756528 1976094 2634792 3403273 3952188 5269584 6806546 7904376 10209819 13613092 15808752 20419638 27226184 30629457 40839276 54452368 61258914 81678552 122517828 163357104 245035656 490071312
- Sum of all divisors σ(n): 1424337408
- Sum of proper divisors (its aliquot sum) s(n): 934266096
- 490071312 is an abundant number, because the sum of its proper divisors (934266096) is greater than itself. Its abundance is 444194784
Bases of 490071312
- Binary: 111010011010111100101000100002
- Hexadecimal: 0x1D35E510
- Base-36: 83RXG0
Squares and roots of 490071312
- 490071312 squared (4900713122) is 240169890845401344
- 490071312 cubed (4900713123) is 117700373509502625820643328
-
The
square root of 490071312 is 22137.5543364663 -
The
cube root of 490071312 is 788.4117596881
Scales and comparisons
How big is 490071312?- 490,071,312 seconds is equal to 15 years, 30 weeks, 2 days, 2 hours, 55 minutes, 12 seconds.
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To count from 1 to 490,071,312 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 490071312 cubic inches would be around 65.7 feet tall.
Recreational maths with 490071312
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