213985120
213,985,120 is an even composite number composed of five prime numbers multiplied together.
213985120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 213985120:
25 × 5 × 17 × 151 × 521
(2 × 2 × 2 × 2 × 2 × 5 × 17 × 151 × 521)See below for interesting mathematical facts about the number 213985120 from the Numbermatics database.
Names of 213985120
- Cardinal: 213985120 can be written as Two hundred thirteen million, nine hundred eighty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.1398512 × 108
Factors of 213985120
Divisors of 213985120
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 151 160 170 272 302 340 521 544 604 680 755 1042 1208 1360 1510 2084 2416 2567 2605 2720 3020 4168 4832 5134 5210 6040 8336 8857 10268 10420 12080 12835 16672 17714 20536 20840 24160 25670 35428 41072 41680 44285 51340 70856 78671 82144 83360 88570 102680 141712 157342 177140 205360 283424 314684 354280 393355 410720 629368 708560 786710 1258736 1337407 1417120 1573420 2517472 2674814 3146840 5349628 6293680 6687035 10699256 12587360 13374070 21398512 26748140 42797024 53496280 106992560 213985120
- Sum of all divisors σ(n): 539856576
- Sum of proper divisors (its aliquot sum) s(n): 325871456
- 213985120 is an abundant number, because the sum of its proper divisors (325871456) is greater than itself. Its abundance is 111886336
Bases of 213985120
- Binary: 11001100000100100111011000002
- Hexadecimal: 0xCC12760
- Base-36: 3JEFZ4
Squares and roots of 213985120
- 213985120 squared (2139851202) is 45789631581414400
- 213985120 cubed (2139851203) is 9798299808704750153728000
-
The
square root of 213985120 is 14628.2302415569 -
The
cube root of 213985120 is 598.1285391633
Scales and comparisons
How big is 213985120?- 213,985,120 seconds is equal to 6 years, 41 weeks, 5 days, 16 hours, 18 minutes, 40 seconds.
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To count from 1 to 213,985,120 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 213985120 cubic inches would be around 49.8 feet tall.
Recreational maths with 213985120
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