138084600
138,084,600 is an even composite number composed of five prime numbers multiplied together.
138084600 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 138084600:
23 × 3 × 52 × 373 × 617
(2 × 2 × 2 × 3 × 5 × 5 × 373 × 617)See below for interesting mathematical facts about the number 138084600 from the Numbermatics database.
Names of 138084600
- Cardinal: 138084600 can be written as One hundred thirty-eight million, eighty-four thousand, six hundred.
Scientific notation
- Scientific notation: 1.380846 × 108
Factors of 138084600
Divisors of 138084600
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 373 600 617 746 1119 1234 1492 1851 1865 2238 2468 2984 3085 3702 3730 4476 4936 5595 6170 7404 7460 8952 9255 9325 11190 12340 14808 14920 15425 18510 18650 22380 24680 27975 30850 37020 37300 44760 46275 55950 61700 74040 74600 92550 111900 123400 185100 223800 230141 370200 460282 690423 920564 1150705 1380846 1841128 2301410 2761692 3452115 4602820 5523384 5753525 6904230 9205640 11507050 13808460 17260575 23014100 27616920 34521150 46028200 69042300 138084600
- Sum of all divisors σ(n): 429905520
- Sum of proper divisors (its aliquot sum) s(n): 291820920
- 138084600 is an abundant number, because the sum of its proper divisors (291820920) is greater than itself. Its abundance is 153736320
Bases of 138084600
- Binary: 10000011101100000000111110002
- Hexadecimal: 0x83B00F8
- Base-36: 2A7MRC
Squares and roots of 138084600
- 138084600 squared (1380846002) is 19067356757160000
- 138084600 cubed (1380846003) is 2632908330869735736000000
-
The
square root of 138084600 is 11750.9403879007 -
The
cube root of 138084600 is 516.8705034537
Scales and comparisons
How big is 138084600?- 138,084,600 seconds is equal to 4 years, 20 weeks, 2 days, 4 hours, 50 minutes.
-
To count from 1 to 138,084,600 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 138084600 cubic inches would be around 43.1 feet tall.
Recreational maths with 138084600
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