313949200
313,949,200 is an even composite number composed of five prime numbers multiplied together.
313949200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 313949200:
24 × 52 × 17 × 137 × 337
(2 × 2 × 2 × 2 × 5 × 5 × 17 × 137 × 337)See below for interesting mathematical facts about the number 313949200 from the Numbermatics database.
Names of 313949200
- Cardinal: 313949200 can be written as Three hundred thirteen million, nine hundred forty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 3.139492 × 108
Factors of 313949200
Divisors of 313949200
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 137 170 200 272 274 337 340 400 425 548 674 680 685 850 1096 1348 1360 1370 1685 1700 2192 2329 2696 2740 3370 3400 3425 4658 5392 5480 5729 6740 6800 6850 8425 9316 10960 11458 11645 13480 13700 16850 18632 22916 23290 26960 27400 28645 33700 37264 45832 46169 46580 54800 57290 58225 67400 91664 92338 93160 114580 116450 134800 143225 184676 186320 229160 230845 232900 286450 369352 458320 461690 465800 572900 738704 784873 923380 931600 1145800 1154225 1569746 1846760 2291600 2308450 3139492 3693520 3924365 4616900 6278984 7848730 9233800 12557968 15697460 18467600 19621825 31394920 39243650 62789840 78487300 156974600 313949200
- Sum of all divisors σ(n): 806847912
- Sum of proper divisors (its aliquot sum) s(n): 492898712
- 313949200 is an abundant number, because the sum of its proper divisors (492898712) is greater than itself. Its abundance is 178949512
Bases of 313949200
- Binary: 100101011011001111100000100002
- Hexadecimal: 0x12B67C10
- Base-36: 56X0R4
Squares and roots of 313949200
- 313949200 squared (3139492002) is 98564100180640000
- 313949200 cubed (3139492003) is 30944120400431783488000000
-
The
square root of 313949200 is 17718.6116837633 -
The
cube root of 313949200 is 679.6517824979
Scales and comparisons
How big is 313949200?- 313,949,200 seconds is equal to 9 years, 51 weeks, 16 hours, 6 minutes, 40 seconds.
-
To count from 1 to 313,949,200 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 313949200 cubic inches would be around 56.6 feet tall.
Recreational maths with 313949200
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