138146008
138,146,008 is an even composite number composed of five prime numbers multiplied together.
138146008 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 138146008:
23 × 7 × 11 × 132 × 1327
(2 × 2 × 2 × 7 × 11 × 13 × 13 × 1327)See below for interesting mathematical facts about the number 138146008 from the Numbermatics database.
Names of 138146008
- Cardinal: 138146008 can be written as One hundred thirty-eight million, one hundred forty-six thousand and eight.
Scientific notation
- Scientific notation: 1.38146008 × 108
Factors of 138146008
Divisors of 138146008
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 169 182 286 308 338 364 572 616 676 728 1001 1144 1183 1327 1352 1859 2002 2366 2654 3718 4004 4732 5308 7436 8008 9289 9464 10616 13013 14597 14872 17251 18578 26026 29194 34502 37156 52052 58388 69004 74312 102179 104104 116776 120757 138008 189761 204358 224263 241514 379522 408716 448526 483028 759044 817432 897052 966056 1328327 1518088 1569841 1794104 2466893 2656654 3139682 4933786 5313308 6279364 9867572 10626616 12558728 17268251 19735144 34536502 69073004 138146008
- Sum of all divisors σ(n): 349954560
- Sum of proper divisors (its aliquot sum) s(n): 211808552
- 138146008 is an abundant number, because the sum of its proper divisors (211808552) is greater than itself. Its abundance is 73662544
Bases of 138146008
- Binary: 10000011101111110000110110002
- Hexadecimal: 0x83BF0D8
- Base-36: 2A8Y54
Squares and roots of 138146008
- 138146008 squared (1381460082) is 19084319526336064
- 138146008 cubed (1381460083) is 2636422557959778108032512
-
The
square root of 138146008 is 11753.5529947331 -
The
cube root of 138146008 is 516.9471117549
Scales and comparisons
How big is 138146008?- 138,146,008 seconds is equal to 4 years, 20 weeks, 2 days, 21 hours, 53 minutes, 28 seconds.
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To count from 1 to 138,146,008 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 138146008 cubic inches would be around 43.1 feet tall.
Recreational maths with 138146008
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The information we have on file for 138146008 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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