315130400
315,130,400 is an even composite number composed of five prime numbers multiplied together.
315130400 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 315130400:
25 × 52 × 13 × 157 × 193
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 157 × 193)See below for interesting mathematical facts about the number 315130400 from the Numbermatics database.
Names of 315130400
- Cardinal: 315130400 can be written as Three hundred fifteen million, one hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 3.151304 × 108
Factors of 315130400
Divisors of 315130400
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 157 160 193 200 208 260 314 325 386 400 416 520 628 650 772 785 800 965 1040 1256 1300 1544 1570 1930 2041 2080 2509 2512 2600 3088 3140 3860 3925 4082 4825 5018 5024 5200 6176 6280 7720 7850 8164 9650 10036 10205 10400 12545 12560 15440 15700 16328 19300 20072 20410 25090 25120 30301 30880 31400 32656 38600 40144 40820 50180 51025 60602 62725 62800 65312 77200 80288 81640 100360 102050 121204 125450 125600 151505 154400 163280 200720 204100 242408 250900 303010 326560 393913 401440 408200 484816 501800 606020 757525 787826 816400 969632 1003600 1212040 1515050 1575652 1632800 1969565 2007200 2424080 3030100 3151304 3939130 4848160 6060200 6302608 7878260 9847825 12120400 12605216 15756520 19695650 24240800 31513040 39391300 63026080 78782600 157565200 315130400
- Sum of all divisors σ(n): 838086984
- Sum of proper divisors (its aliquot sum) s(n): 522956584
- 315130400 is an abundant number, because the sum of its proper divisors (522956584) is greater than itself. Its abundance is 207826184
Bases of 315130400
- Binary: 100101100100010000010001000002
- Hexadecimal: 0x12C88220
- Base-36: 57MC68
Squares and roots of 315130400
- 315130400 squared (3151304002) is 99307169004160000
- 315130400 cubed (3151304003) is 31294707891148542464000000
-
The
square root of 315130400 is 17751.9125730159 -
The
cube root of 315130400 is 680.5030879135
Scales and comparisons
How big is 315130400?- 315,130,400 seconds is equal to 10 years, 1 week, 8 hours, 13 minutes, 20 seconds.
-
To count from 1 to 315,130,400 would take you about fifteen 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 315130400 cubic inches would be around 56.7 feet tall.
Recreational maths with 315130400
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The information we have on file for 315130400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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