814021312
814,021,312 is an even composite number composed of five prime numbers multiplied together.
814021312 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 814021312:
26 × 13 × 31 × 37 × 853
(2 × 2 × 2 × 2 × 2 × 2 × 13 × 31 × 37 × 853)See below for interesting mathematical facts about the number 814021312 from the Numbermatics database.
Names of 814021312
- Cardinal: 814021312 can be written as Eight hundred fourteen million, twenty-one thousand, three hundred twelve.
Scientific notation
- Scientific notation: 8.14021312 × 108
Factors of 814021312
Divisors of 814021312
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 4 8 13 16 26 31 32 37 52 62 64 74 104 124 148 208 248 296 403 416 481 496 592 806 832 853 962 992 1147 1184 1612 1706 1924 1984 2294 2368 3224 3412 3848 4588 6448 6824 7696 9176 11089 12896 13648 14911 15392 18352 22178 25792 26443 27296 29822 30784 31561 36704 44356 52886 54592 59644 63122 73408 88712 105772 119288 126244 177424 211544 238576 252488 343759 354848 410293 423088 477152 504976 687518 709696 820586 846176 954304 978391 1009952 1375036 1641172 1692352 1956782 2019904 2750072 3282344 3913564 5500144 6564688 7827128 11000288 12719083 13129376 15654256 22000576 25438166 26258752 31308512 50876332 62617024 101752664 203505328 407010656 814021312
- Sum of all divisors σ(n): 1846388992
- Sum of proper divisors (its aliquot sum) s(n): 1032367680
- 814021312 is an abundant number, because the sum of its proper divisors (1032367680) is greater than itself. Its abundance is 218346368
Bases of 814021312
- Binary: 1100001000010011111010110000002
- Hexadecimal: 0x3084FAC0
- Base-36: DGNAV4
Squares and roots of 814021312
- 814021312 squared (8140213122) is 662630696390201344
- 814021312 cubed (8140213123) is 539395508847025361987043328
-
The
square root of 814021312 is 28531.0587255365 -
The
cube root of 814021312 is 933.7098172761
Scales and comparisons
How big is 814021312?- 814,021,312 seconds is equal to 25 years, 45 weeks, 6 days, 13 hours, 1 minute, 52 seconds.
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To count from 1 to 814,021,312 would take you about thirty-eight 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 814021312 cubic inches would be around 77.8 feet tall.
Recreational maths with 814021312
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