330148992
330,148,992 is an even composite number composed of five prime numbers multiplied together.
330148992 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 330148992:
27 × 3 × 23 × 29 × 1289
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 23 × 29 × 1289)See below for interesting mathematical facts about the number 330148992 from the Numbermatics database.
Names of 330148992
- Cardinal: 330148992 can be written as Three hundred thirty million, one hundred forty-eight thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 3.30148992 × 108
Factors of 330148992
Divisors of 330148992
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 128 138 174 184 192 232 276 348 368 384 464 552 667 696 736 928 1104 1289 1334 1392 1472 1856 2001 2208 2578 2668 2784 2944 3712 3867 4002 4416 5156 5336 5568 7734 8004 8832 10312 10672 11136 15468 16008 20624 21344 29647 30936 32016 37381 41248 42688 59294 61872 64032 74762 82496 85376 88941 112143 118588 123744 128064 149524 164992 177882 224286 237176 247488 256128 299048 355764 448572 474352 494976 598096 711528 859763 897144 948704 1196192 1423056 1719526 1794288 1897408 2392384 2579289 2846112 3439052 3588576 3794816 4784768 5158578 5692224 6878104 7177152 10317156 11384448 13756208 14354304 20634312 27512416 41268624 55024832 82537248 110049664 165074496 330148992
- Sum of all divisors σ(n): 947376000
- Sum of proper divisors (its aliquot sum) s(n): 617227008
- 330148992 is an abundant number, because the sum of its proper divisors (617227008) is greater than itself. Its abundance is 287078016
Bases of 330148992
- Binary: 100111010110110101100100000002
- Hexadecimal: 0x13ADAC80
- Base-36: 5GK8LC
Squares and roots of 330148992
- 330148992 squared (3301489922) is 108998356918616064
- 330148992 cubed (3301489923) is 35985697666337319564607488
-
The
square root of 330148992 is 18170.0025316453 -
The
cube root of 330148992 is 691.1463071289
Scales and comparisons
How big is 330148992?- 330,148,992 seconds is equal to 10 years, 25 weeks, 6 days, 4 hours, 3 minutes, 12 seconds.
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To count from 1 to 330,148,992 would take you about fifteen 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 330148992 cubic inches would be around 57.6 feet tall.
Recreational maths with 330148992
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