85338400
85,338,400 is an even composite number composed of four prime numbers multiplied together.
85338400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 85338400:
25 × 52 × 73 × 311
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 311)See below for interesting mathematical facts about the number 85338400 from the Numbermatics database.
Names of 85338400
- Cardinal: 85338400 can be written as Eighty-five million, three hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 8.53384 × 107
Factors of 85338400
Divisors of 85338400
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 140 160 175 196 200 224 245 280 311 343 350 392 400 490 560 622 686 700 784 800 980 1120 1225 1244 1372 1400 1555 1568 1715 1960 2177 2450 2488 2744 2800 3110 3430 3920 4354 4900 4976 5488 5600 6220 6860 7775 7840 8575 8708 9800 9952 10885 10976 12440 13720 15239 15550 17150 17416 19600 21770 24880 27440 30478 31100 34300 34832 39200 43540 49760 54425 54880 60956 62200 68600 69664 76195 87080 106673 108850 121912 124400 137200 152390 174160 213346 217700 243824 248800 274400 304780 348320 380975 426692 435400 487648 533365 609560 761950 853384 870800 1066730 1219120 1523900 1706768 1741600 2133460 2438240 2666825 3047800 3413536 4266920 5333650 6095600 8533840 10667300 12191200 17067680 21334600 42669200 85338400
- Sum of all divisors σ(n): 243734400
- Sum of proper divisors (its aliquot sum) s(n): 158396000
- 85338400 is an abundant number, because the sum of its proper divisors (158396000) is greater than itself. Its abundance is 73057600
Bases of 85338400
- Binary: 1010001011000101001001000002
- Hexadecimal: 0x5162920
- Base-36: 1ET3J4
Squares and roots of 85338400
- 85338400 squared (853384002) is 7282642514560000
- 85338400 cubed (853384003) is 621489059964527104000000
-
The
square root of 85338400 is 9237.8785443413 -
The
cube root of 85338400 is 440.2656797659
Scales and comparisons
How big is 85338400?- 85,338,400 seconds is equal to 2 years, 37 weeks, 17 hours, 6 minutes, 40 seconds.
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To count from 1 to 85,338,400 would take you about four 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 85338400 cubic inches would be around 36.7 feet tall.
Recreational maths with 85338400
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