990294144
990,294,144 is an even composite number composed of five prime numbers multiplied together.
990294144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 990294144:
27 × 3 × 7 × 601 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 601 × 613)See below for interesting mathematical facts about the number 990294144 from the Numbermatics database.
Names of 990294144
- Cardinal: 990294144 can be written as Nine hundred ninety million, two hundred ninety-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 9.90294144 × 108
Factors of 990294144
Divisors of 990294144
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 601 613 672 896 1202 1226 1344 1803 1839 2404 2452 2688 3606 3678 4207 4291 4808 4904 7212 7356 8414 8582 9616 9808 12621 12873 14424 14712 16828 17164 19232 19616 25242 25746 28848 29424 33656 34328 38464 39232 50484 51492 57696 58848 67312 68656 76928 78464 100968 102984 115392 117696 134624 137312 201936 205968 230784 235392 269248 274624 368413 403872 411936 538496 549248 736826 807744 823872 1105239 1473652 1615488 1647744 2210478 2578891 2947304 4420956 5157782 5894608 7736673 8841912 10315564 11789216 15473346 17683824 20631128 23578432 30946692 35367648 41262256 47156864 61893384 70735296 82524512 123786768 141470592 165049024 247573536 330098048 495147072 990294144
- Sum of all divisors σ(n): 3016164480
- Sum of proper divisors (its aliquot sum) s(n): 2025870336
- 990294144 is an abundant number, because the sum of its proper divisors (2025870336) is greater than itself. Its abundance is 1035576192
Bases of 990294144
- Binary: 1110110000011010110000100000002
- Hexadecimal: 0x3B06B080
- Base-36: GDLFUO
Squares and roots of 990294144
- 990294144 squared (9902941442) is 980682491640692736
- 990294144 cubed (9902941443) is 971164128595106968564137984
-
The
square root of 990294144 is 31468.9393529557 -
The
cube root of 990294144 is 996.7541907875
Scales and comparisons
How big is 990294144?- 990,294,144 seconds is equal to 31 years, 25 weeks, 2 days, 17 hours, 42 minutes, 24 seconds.
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To count from 1 to 990,294,144 would take you about forty-seven 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 990294144 cubic inches would be around 83.1 feet tall.
Recreational maths with 990294144
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