138384216
138,384,216 is an even composite number composed of five prime numbers multiplied together.
138384216 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 138384216:
23 × 32 × 17 × 167 × 677
(2 × 2 × 2 × 3 × 3 × 17 × 167 × 677)See below for interesting mathematical facts about the number 138384216 from the Numbermatics database.
Names of 138384216
- Cardinal: 138384216 can be written as One hundred thirty-eight million, three hundred eighty-four thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38384216 × 108
Factors of 138384216
Divisors of 138384216
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 167 204 306 334 408 501 612 668 677 1002 1224 1336 1354 1503 2004 2031 2708 2839 3006 4008 4062 5416 5678 6012 6093 8124 8517 11356 11509 12024 12186 16248 17034 22712 23018 24372 25551 34068 34527 46036 48744 51102 68136 69054 92072 102204 103581 113059 138108 204408 207162 226118 276216 339177 414324 452236 678354 828648 904472 1017531 1356708 1922003 2035062 2713416 3844006 4070124 5766009 7688012 8140248 11532018 15376024 17298027 23064036 34596054 46128072 69192108 138384216
- Sum of all divisors σ(n): 399803040
- Sum of proper divisors (its aliquot sum) s(n): 261418824
- 138384216 is an abundant number, because the sum of its proper divisors (261418824) is greater than itself. Its abundance is 123034608
Bases of 138384216
- Binary: 10000011111110010011010110002
- Hexadecimal: 0x83F9358
- Base-36: 2AE1Y0
Squares and roots of 138384216
- 138384216 squared (1383842162) is 19150191237934656
- 138384216 cubed (1383842163) is 2650084200711656829789696
-
The
square root of 138384216 is 11763.6820766289 -
The
cube root of 138384216 is 517.2440686463
Scales and comparisons
How big is 138384216?- 138,384,216 seconds is equal to 4 years, 20 weeks, 5 days, 16 hours, 3 minutes, 36 seconds.
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To count from 1 to 138,384,216 would take you about six 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 138384216 cubic inches would be around 43.1 feet tall.
Recreational maths with 138384216
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The information we have on file for 138384216 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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