31142800
31,142,800 is an even composite number composed of five prime numbers multiplied together.
31142800 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 31142800:
24 × 52 × 13 × 53 × 113
(2 × 2 × 2 × 2 × 5 × 5 × 13 × 53 × 113)See below for interesting mathematical facts about the number 31142800 from the Numbermatics database.
Names of 31142800
- Cardinal: 31142800 can be written as Thirty-one million, one hundred forty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 3.11428 × 107
Factors of 31142800
Divisors of 31142800
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 40 50 52 53 65 80 100 104 106 113 130 200 208 212 226 260 265 325 400 424 452 520 530 565 650 689 848 904 1040 1060 1130 1300 1325 1378 1469 1808 2120 2260 2600 2650 2756 2825 2938 3445 4240 4520 5200 5300 5512 5650 5876 5989 6890 7345 9040 10600 11024 11300 11752 11978 13780 14690 17225 21200 22600 23504 23956 27560 29380 29945 34450 36725 45200 47912 55120 58760 59890 68900 73450 77857 95824 117520 119780 137800 146900 149725 155714 239560 275600 293800 299450 311428 389285 479120 587600 598900 622856 778570 1197800 1245712 1557140 1946425 2395600 3114280 3892850 6228560 7785700 15571400 31142800
- Sum of all divisors σ(n): 82822824
- Sum of proper divisors (its aliquot sum) s(n): 51680024
- 31142800 is an abundant number, because the sum of its proper divisors (51680024) is greater than itself. Its abundance is 20537224
Bases of 31142800
- Binary: 11101101100110011100100002
- Hexadecimal: 0x1DB3390
- Base-36: IJHXS
Squares and roots of 31142800
- 31142800 squared (311428002) is 969873991840000
- 31142800 cubed (311428003) is 30204591753074752000000
-
The
square root of 31142800 is 5580.5734472365 -
The
cube root of 31142800 is 314.6196804145
Scales and comparisons
How big is 31142800?- 31,142,800 seconds is equal to 51 weeks, 3 days, 10 hours, 46 minutes, 40 seconds.
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To count from 1 to 31,142,800 would take you about twenty-five weeks!
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 31142800 cubic inches would be around 26.2 feet tall.
Recreational maths with 31142800
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