213728216
213,728,216 is an even composite number composed of four prime numbers multiplied together.
213728216 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 213728216:
23 × 132 × 172 × 547
(2 × 2 × 2 × 13 × 13 × 17 × 17 × 547)See below for interesting mathematical facts about the number 213728216 from the Numbermatics database.
Names of 213728216
- Cardinal: 213728216 can be written as Two hundred thirteen million, seven hundred twenty-eight thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 2.13728216 × 108
Factors of 213728216
Divisors of 213728216
- Number of divisors d(n): 72
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Complete list of divisors:
1 2 4 8 13 17 26 34 52 68 104 136 169 221 289 338 442 547 578 676 884 1094 1156 1352 1768 2188 2312 2873 3757 4376 5746 7111 7514 9299 11492 14222 15028 18598 22984 28444 30056 37196 48841 56888 74392 92443 97682 120887 158083 184886 195364 241774 316166 369772 390728 483548 632332 739544 967096 1264664 1571531 2055079 3143062 4110158 6286124 8220316 12572248 16440632 26716027 53432054 106864108 213728216
- Sum of all divisors σ(n): 461807820
- Sum of proper divisors (its aliquot sum) s(n): 248079604
- 213728216 is an abundant number, because the sum of its proper divisors (248079604) is greater than itself. Its abundance is 34351388
Bases of 213728216
- Binary: 11001011110100111011110110002
- Hexadecimal: 0xCBD3BD8
- Base-36: 3J8XQW
Squares and roots of 213728216
- 213728216 squared (2137282162) is 45679750314542656
- 213728216 cubed (2137282163) is 9763051542052640722781696
-
The
square root of 213728216 is 14619.4465011507 -
The
cube root of 213728216 is 597.8890783555
Scales and comparisons
How big is 213728216?- 213,728,216 seconds is equal to 6 years, 41 weeks, 2 days, 16 hours, 56 minutes, 56 seconds.
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To count from 1 to 213,728,216 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 213728216 cubic inches would be around 49.8 feet tall.
Recreational maths with 213728216
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