138821088
138,821,088 is an even composite number composed of five prime numbers multiplied together.
138821088 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 138821088:
25 × 3 × 7 × 167 × 1237
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 167 × 1237)See below for interesting mathematical facts about the number 138821088 from the Numbermatics database.
Names of 138821088
- Cardinal: 138821088 can be written as One hundred thirty-eight million, eight hundred twenty-one thousand and eighty-eight.
Scientific notation
- Scientific notation: 1.38821088 × 108
Factors of 138821088
Divisors of 138821088
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 167 168 224 334 336 501 668 672 1002 1169 1237 1336 2004 2338 2474 2672 3507 3711 4008 4676 4948 5344 7014 7422 8016 8659 9352 9896 14028 14844 16032 17318 18704 19792 25977 28056 29688 34636 37408 39584 51954 56112 59376 69272 103908 112224 118752 138544 206579 207816 277088 413158 415632 619737 826316 831264 1239474 1446053 1652632 2478948 2892106 3305264 4338159 4957896 5784212 6610528 8676318 9915792 11568424 17352636 19831584 23136848 34705272 46273696 69410544 138821088
- Sum of all divisors σ(n): 419295744
- Sum of proper divisors (its aliquot sum) s(n): 280474656
- 138821088 is an abundant number, because the sum of its proper divisors (280474656) is greater than itself. Its abundance is 141653568
Bases of 138821088
- Binary: 10000100011000111101111000002
- Hexadecimal: 0x8463DE0
- Base-36: 2ANF1C
Squares and roots of 138821088
- 138821088 squared (1388210882) is 19271294473503744
- 138821088 cubed (1388210883) is 2675262065980176914153472
-
The
square root of 138821088 is 11782.2361205335 -
The
cube root of 138821088 is 517.7878013591
Scales and comparisons
How big is 138821088?- 138,821,088 seconds is equal to 4 years, 21 weeks, 3 days, 17 hours, 24 minutes, 48 seconds.
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To count from 1 to 138,821,088 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 138821088 cubic inches would be around 43.1 feet tall.
Recreational maths with 138821088
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