138978944
138,978,944 is an even composite number composed of three prime numbers multiplied together.
138978944 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 138978944:
27 × 13 × 174
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 17 × 17 × 17 × 17)See below for interesting mathematical facts about the number 138978944 from the Numbermatics database.
Names of 138978944
- Cardinal: 138978944 can be written as One hundred thirty-eight million, nine hundred seventy-eight thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.38978944 × 108
Factors of 138978944
Divisors of 138978944
- Number of divisors d(n): 80
-
Complete list of divisors:
1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 289 416 442 544 578 832 884 1088 1156 1664 1768 2176 2312 3536 3757 4624 4913 7072 7514 9248 9826 14144 15028 18496 19652 28288 30056 36992 39304 60112 63869 78608 83521 120224 127738 157216 167042 240448 255476 314432 334084 480896 510952 628864 668168 1021904 1085773 1336336 2043808 2171546 2672672 4087616 4343092 5345344 8175232 8686184 10690688 17372368 34744736 69489472 138978944
- Sum of all divisors σ(n): 316805370
- Sum of proper divisors (its aliquot sum) s(n): 177826426
- 138978944 is an abundant number, because the sum of its proper divisors (177826426) is greater than itself. Its abundance is 38847482
Bases of 138978944
- Binary: 10000100100010100110100000002
- Hexadecimal: 0x848A680
- Base-36: 2AQSU8
Squares and roots of 138978944
- 138978944 squared (1389789442) is 19315146875355136
- 138978944 cubed (1389789443) is 2684398715941756426256384
-
The
square root of 138978944 is 11788.9331154265 -
The
cube root of 138978944 is 517.9839890103
Scales and comparisons
How big is 138978944?- 138,978,944 seconds is equal to 4 years, 21 weeks, 5 days, 13 hours, 15 minutes, 44 seconds.
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To count from 1 to 138,978,944 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 138978944 cubic inches would be around 43.2 feet tall.
Recreational maths with 138978944
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