470680672
470,680,672 is an even composite number composed of five prime numbers multiplied together.
470680672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 470680672:
25 × 72 × 11 × 29 × 941
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 29 × 941)See below for interesting mathematical facts about the number 470680672 from the Numbermatics database.
Names of 470680672
- Cardinal: 470680672 can be written as Four hundred seventy million, six hundred eighty thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 4.70680672 × 108
Factors of 470680672
Divisors of 470680672
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 29 32 44 49 56 58 77 88 98 112 116 154 176 196 203 224 232 308 319 352 392 406 464 539 616 638 784 812 928 941 1078 1232 1276 1421 1568 1624 1882 2156 2233 2464 2552 2842 3248 3764 4312 4466 5104 5684 6496 6587 7528 8624 8932 10208 10351 11368 13174 15056 15631 17248 17864 20702 22736 26348 27289 30112 31262 35728 41404 45472 46109 52696 54578 62524 71456 72457 82808 92218 105392 109156 125048 144914 165616 184436 191023 210784 218312 250096 289828 300179 331232 368872 382046 436624 500192 507199 579656 600358 737744 764092 873248 1014398 1159312 1200716 1337161 1475488 1528184 2028796 2101253 2318624 2401432 2674322 3056368 4057592 4202506 4802864 5348644 6112736 8115184 8405012 9605728 10697288 14708771 16230368 16810024 21394576 29417542 33620048 42789152 58835084 67240096 117670168 235340336 470680672
- Sum of all divisors σ(n): 1217779920
- Sum of proper divisors (its aliquot sum) s(n): 747099248
- 470680672 is an abundant number, because the sum of its proper divisors (747099248) is greater than itself. Its abundance is 276418576
Bases of 470680672
- Binary: 111000000111000000100011000002
- Hexadecimal: 0x1C0E0460
- Base-36: 7S8BJ4
Squares and roots of 470680672
- 470680672 squared (4706806722) is 221540294994371584
- 470680672 cubed (4706806723) is 104274734923029053374824448
-
The
square root of 470680672 is 21695.1762380489 -
The
cube root of 470680672 is 777.8731628203
Scales and comparisons
How big is 470680672?- 470,680,672 seconds is equal to 14 years, 50 weeks, 1 day, 16 hours, 37 minutes, 52 seconds.
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To count from 1 to 470,680,672 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 470680672 cubic inches would be around 64.8 feet tall.
Recreational maths with 470680672
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