470973152
470,973,152 is an even composite number composed of five prime numbers multiplied together.
470973152 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 470973152:
25 × 13 × 43 × 113 × 233
(2 × 2 × 2 × 2 × 2 × 13 × 43 × 113 × 233)See below for interesting mathematical facts about the number 470973152 from the Numbermatics database.
Names of 470973152
- Cardinal: 470973152 can be written as Four hundred seventy million, nine hundred seventy-three thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 4.70973152 × 108
Factors of 470973152
Divisors of 470973152
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 4 8 13 16 26 32 43 52 86 104 113 172 208 226 233 344 416 452 466 559 688 904 932 1118 1376 1469 1808 1864 2236 2938 3029 3616 3728 4472 4859 5876 6058 7456 8944 9718 10019 11752 12116 17888 19436 20038 23504 24232 26329 38872 40076 47008 48464 52658 63167 77744 80152 96928 105316 126334 130247 155488 160304 210632 252668 260494 320608 342277 421264 505336 520988 684554 842528 1010672 1041976 1132147 1369108 2021344 2083952 2264294 2738216 4167904 4528588 5476432 9057176 10952864 14717911 18114352 29435822 36228704 58871644 117743288 235486576 470973152
- Sum of all divisors σ(n): 1035242208
- Sum of proper divisors (its aliquot sum) s(n): 564269056
- 470973152 is an abundant number, because the sum of its proper divisors (564269056) is greater than itself. Its abundance is 93295904
Bases of 470973152
- Binary: 111000001001001111010111000002
- Hexadecimal: 0x1C127AE0
- Base-36: 7SEL7K
Squares and roots of 470973152
- 470973152 squared (4709731522) is 221815709904815104
- 470973152 cubed (4709731523) is 104469244056988389508087808
-
The
square root of 470973152 is 21701.9158601263 -
The
cube root of 470973152 is 778.0342523851
Scales and comparisons
How big is 470973152?- 470,973,152 seconds is equal to 14 years, 50 weeks, 5 days, 1 hour, 52 minutes, 32 seconds.
-
To count from 1 to 470,973,152 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 470973152 cubic inches would be around 64.8 feet tall.
Recreational maths with 470973152
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