480668352
480,668,352 is an even composite number composed of five prime numbers multiplied together.
480668352 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 480668352:
26 × 3 × 23 × 89 × 1223
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 23 × 89 × 1223)See below for interesting mathematical facts about the number 480668352 from the Numbermatics database.
Names of 480668352
- Cardinal: 480668352 can be written as Four hundred eighty million, six hundred sixty-eight thousand, three hundred fifty-two.
Scientific notation
- Scientific notation: 4.80668352 × 108
Factors of 480668352
Divisors of 480668352
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 89 92 96 138 178 184 192 267 276 356 368 534 552 712 736 1068 1104 1223 1424 1472 2047 2136 2208 2446 2848 3669 4094 4272 4416 4892 5696 6141 7338 8188 8544 9784 12282 14676 16376 17088 19568 24564 28129 29352 32752 39136 49128 56258 58704 65504 78272 84387 98256 108847 112516 117408 131008 168774 196512 217694 225032 234816 326541 337548 393024 435388 450064 653082 675096 870776 900128 1306164 1350192 1741552 1800256 2503481 2612328 2700384 3483104 5006962 5224656 5400768 6966208 7510443 10013924 10449312 15020886 20027848 20898624 30041772 40055696 60083544 80111392 120167088 160222784 240334176 480668352
- Sum of all divisors σ(n): 1343070720
- Sum of proper divisors (its aliquot sum) s(n): 862402368
- 480668352 is an abundant number, because the sum of its proper divisors (862402368) is greater than itself. Its abundance is 381734016
Bases of 480668352
- Binary: 111001010011001101010110000002
- Hexadecimal: 0x1CA66AC0
- Base-36: 7Y6E2O
Squares and roots of 480668352
- 480668352 squared (4806683522) is 231042064614395904
- 480668352 cubed (4806683523) is 111054608440879194651230208
-
The
square root of 480668352 is 21924.1499721197 -
The
cube root of 480668352 is 783.3367638097
Scales and comparisons
How big is 480668352?- 480,668,352 seconds is equal to 15 years, 14 weeks, 5 days, 6 hours, 59 minutes, 12 seconds.
-
To count from 1 to 480,668,352 would take you about twenty-two 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 480668352 cubic inches would be around 65.3 feet tall.
Recreational maths with 480668352
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