138148608
138,148,608 is an even composite number composed of five prime numbers multiplied together.
138148608 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138148608:
28 × 3 × 13 × 101 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 101 × 137)See below for interesting mathematical facts about the number 138148608 from the Numbermatics database.
Names of 138148608
- Cardinal: 138148608 can be written as One hundred thirty-eight million, one hundred forty-eight thousand, six hundred eight.
Scientific notation
- Scientific notation: 1.38148608 × 108
Factors of 138148608
Divisors of 138148608
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 101 104 128 137 156 192 202 208 256 274 303 312 384 404 411 416 548 606 624 768 808 822 832 1096 1212 1248 1313 1616 1644 1664 1781 2192 2424 2496 2626 3232 3288 3328 3562 3939 4384 4848 4992 5252 5343 6464 6576 7124 7878 8768 9696 9984 10504 10686 12928 13152 13837 14248 15756 17536 19392 21008 21372 25856 26304 27674 28496 31512 35072 38784 41511 42016 42744 52608 55348 56992 63024 77568 83022 84032 85488 105216 110696 113984 126048 166044 168064 170976 179881 221392 227968 252096 332088 336128 341952 359762 442784 455936 504192 539643 664176 683904 719524 885568 1008384 1079286 1328352 1367808 1439048 1771136 2158572 2656704 2878096 3542272 4317144 5313408 5756192 8634288 10626816 11512384 17268576 23024768 34537152 46049536 69074304 138148608
- Sum of all divisors σ(n): 402798816
- Sum of proper divisors (its aliquot sum) s(n): 264650208
- 138148608 is an abundant number, because the sum of its proper divisors (264650208) is greater than itself. Its abundance is 126501600
Bases of 138148608
- Binary: 10000011101111111011000000002
- Hexadecimal: 0x83BFB00
- Base-36: 2A905C
Squares and roots of 138148608
- 138148608 squared (1381486082) is 19085037892337664
- 138148608 cubed (1381486083) is 2636571418453702147571712
-
The
square root of 138148608 is 11753.6635990657 -
The
cube root of 138148608 is 516.9503548311
Scales and comparisons
How big is 138148608?- 138,148,608 seconds is equal to 4 years, 20 weeks, 2 days, 22 hours, 36 minutes, 48 seconds.
-
To count from 1 to 138,148,608 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 138148608 cubic inches would be around 43.1 feet tall.
Recreational maths with 138148608
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138148608 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 138148608 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138148608/
Chicago style:
Numbermatics. 2024. "Number 138148608 - Facts about the integer". https://numbermatics.com/n/138148608/
The information we have on file for 138148608 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!
Keywords: Divisors of 138148608, math, Factors of 138148608, curriculum, school, college, exams, university, Prime factorization of 138148608, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight million, one hundred forty-eight thousand, six hundred eight.