313828130
313,828,130 is an even composite number composed of six prime numbers multiplied together.
What does the number 313828130 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 96 divisors.
313828130 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 313828130:
2 × 5 × 7 × 11 × 192 × 1129
(2 × 5 × 7 × 11 × 19 × 19 × 1129)See below for interesting mathematical facts about the number 313828130 from the Numbermatics database.
Names of 313828130
- Cardinal: 313828130 can be written as Three hundred thirteen million, eight hundred twenty-eight thousand, one hundred thirty.
Scientific notation
- Scientific notation: 3.1382813 × 108
Factors of 313828130
Divisors of 313828130
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 5 7 10 11 14 19 22 35 38 55 70 77 95 110 133 154 190 209 266 361 385 418 665 722 770 1045 1129 1330 1463 1805 2090 2258 2527 2926 3610 3971 5054 5645 7315 7903 7942 11290 12419 12635 14630 15806 19855 21451 24838 25270 27797 39515 39710 42902 55594 62095 79030 86933 107255 124190 138985 150157 173866 214510 235961 277970 300314 407569 434665 471922 750785 815138 869330 1179805 1501570 1651727 2037845 2359610 2852983 3303454 4075690 4483259 5705966 8258635 8966518 14264915 16517270 22416295 28529830 31382813 44832590 62765626 156914065 313828130
- Sum of all divisors σ(n): 743955840
- Sum of proper divisors (its aliquot sum) s(n): 430127710
- 313828130 is an abundant number, because the sum of its proper divisors (430127710) is greater than itself. Its abundance is 116299580
Bases of 313828130
- Binary: 100101011010010100011001000102
- Hexadecimal: 0x12B4A322
- Base-36: 56UFC2
Squares and roots of 313828130
- 313828130 squared (3138281302) is 98488095179296900
- 313828130 cubed (3138281303) is 30908334737380760841797000
-
The
square root of 313828130 is 17715.1948902631 -
The
cube root of 313828130 is 679.5644052821
Scales and comparisons
How big is 313828130?- 313,828,130 seconds is equal to 9 years, 50 weeks, 6 days, 6 hours, 28 minutes, 50 seconds.
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To count from 1 to 313,828,130 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 313828130 cubic inches would be around 56.6 feet tall.
Recreational maths with 313828130
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