213434400
213,434,400 is an even composite number composed of five prime numbers multiplied together.
213434400 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 213434400:
25 × 3 × 52 × 113 × 787
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 113 × 787)See below for interesting mathematical facts about the number 213434400 from the Numbermatics database.
Names of 213434400
- Cardinal: 213434400 can be written as Two hundred thirteen million, four hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 2.134344 × 108
Factors of 213434400
Divisors of 213434400
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 113 120 150 160 200 226 240 300 339 400 452 480 565 600 678 787 800 904 1130 1200 1356 1574 1695 1808 2260 2361 2400 2712 2825 3148 3390 3616 3935 4520 4722 5424 5650 6296 6780 7870 8475 9040 9444 10848 11300 11805 12592 13560 15740 16950 18080 18888 19675 22600 23610 25184 27120 31480 33900 37776 39350 45200 47220 54240 59025 62960 67800 75552 78700 88931 90400 94440 118050 125920 135600 157400 177862 188880 236100 266793 271200 314800 355724 377760 444655 472200 533586 629600 711448 889310 944400 1067172 1333965 1422896 1778620 1888800 2134344 2223275 2667930 2845792 3557240 4268688 4446550 5335860 6669825 7114480 8537376 8893100 10671720 13339650 14228960 17786200 21343440 26679300 35572400 42686880 53358600 71144800 106717200 213434400
- Sum of all divisors σ(n): 701767584
- Sum of proper divisors (its aliquot sum) s(n): 488333184
- 213434400 is an abundant number, because the sum of its proper divisors (488333184) is greater than itself. Its abundance is 274898784
Bases of 213434400
- Binary: 11001011100011000000001000002
- Hexadecimal: 0xCB8C020
- Base-36: 3J2N1C
Squares and roots of 213434400
- 213434400 squared (2134344002) is 45554243103360000
- 213434400 cubed (2134344003) is 9722842544219779584000000
-
The
square root of 213434400 is 14609.3942379553 -
The
cube root of 213434400 is 597.6149764441
Scales and comparisons
How big is 213434400?- 213,434,400 seconds is equal to 6 years, 40 weeks, 6 days, 7 hours, 20 minutes.
-
To count from 1 to 213,434,400 would take you about ten 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 213434400 cubic inches would be around 49.8 feet tall.
Recreational maths with 213434400
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