313121120
313,121,120 is an even composite number composed of five prime numbers multiplied together.
313121120 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 313121120:
25 × 5 × 13 × 292 × 179
(2 × 2 × 2 × 2 × 2 × 5 × 13 × 29 × 29 × 179)See below for interesting mathematical facts about the number 313121120 from the Numbermatics database.
Names of 313121120
- Cardinal: 313121120 can be written as Three hundred thirteen million, one hundred twenty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.1312112 × 108
Factors of 313121120
Divisors of 313121120
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 179 208 232 260 290 358 377 416 464 520 580 716 754 841 895 928 1040 1160 1432 1508 1682 1790 1885 2080 2320 2327 2864 3016 3364 3580 3770 4205 4640 4654 5191 5728 6032 6728 7160 7540 8410 9308 10382 10933 11635 12064 13456 14320 15080 16820 18616 20764 21866 23270 25955 26912 28640 30160 33640 37232 41528 43732 46540 51910 54665 60320 67280 67483 74464 83056 87464 93080 103820 109330 134560 134966 150539 166112 174928 186160 207640 218660 269932 301078 337415 349856 372320 415280 437320 539864 602156 674830 752695 830560 874640 1079728 1204312 1349660 1505390 1749280 1957007 2159456 2408624 2699320 3010780 3914014 4817248 5398640 6021560 7828028 9785035 10797280 12043120 15656056 19570070 24086240 31312112 39140140 62624224 78280280 156560560 313121120
- Sum of all divisors σ(n): 829679760
- Sum of proper divisors (its aliquot sum) s(n): 516558640
- 313121120 is an abundant number, because the sum of its proper divisors (516558640) is greater than itself. Its abundance is 203437520
Bases of 313121120
- Binary: 100101010100111011001011000002
- Hexadecimal: 0x12A9D960
- Base-36: 56F9SW
Squares and roots of 313121120
- 313121120 squared (3131211202) is 98044835790054400
- 313121120 cubed (3131211203) is 30699908792797918588928000
-
The
square root of 313121120 is 17695.2287354529 -
The
cube root of 313121120 is 679.0537010269
Scales and comparisons
How big is 313121120?- 313,121,120 seconds is equal to 9 years, 49 weeks, 5 days, 2 hours, 5 minutes, 20 seconds.
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To count from 1 to 313,121,120 would take you about fourteen 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 313121120 cubic inches would be around 56.6 feet tall.
Recreational maths with 313121120
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