138198816
138,198,816 is an even composite number composed of four prime numbers multiplied together.
138198816 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138198816:
25 × 32 × 73 × 1399
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 1399)See below for interesting mathematical facts about the number 138198816 from the Numbermatics database.
Names of 138198816
- Cardinal: 138198816 can be written as One hundred thirty-eight million, one hundred ninety-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38198816 × 108
Factors of 138198816
Divisors of 138198816
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1372 1399 1568 1764 2016 2058 2352 2744 2798 3087 3528 4116 4197 4704 5488 5596 6174 7056 8232 8394 9793 10976 11192 12348 12591 14112 16464 16788 19586 22384 24696 25182 29379 32928 33576 39172 44768 49392 50364 58758 67152 68551 78344 88137 98784 100728 117516 134304 137102 156688 176274 201456 205653 235032 274204 313376 352548 402912 411306 470064 479857 548408 616959 705096 822612 940128 959714 1096816 1233918 1410192 1439571 1645224 1919428 2193632 2467836 2820384 2879142 3290448 3838856 4318713 4935672 5758284 6580896 7677712 8637426 9871344 11516568 15355424 17274852 19742688 23033136 34549704 46066272 69099408 138198816
- Sum of all divisors σ(n): 458640000
- Sum of proper divisors (its aliquot sum) s(n): 320441184
- 138198816 is an abundant number, because the sum of its proper divisors (320441184) is greater than itself. Its abundance is 182242368
Bases of 138198816
- Binary: 10000011110010111111001000002
- Hexadecimal: 0x83CBF20
- Base-36: 2AA2W0
Squares and roots of 138198816
- 138198816 squared (1381988162) is 19098912743801856
- 138198816 cubed (1381988163) is 2639447128080727837802496
-
The
square root of 138198816 is 11755.7992497321 -
The
cube root of 138198816 is 517.0129731477
Scales and comparisons
How big is 138198816?- 138,198,816 seconds is equal to 4 years, 20 weeks, 3 days, 12 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,198,816 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 138198816 cubic inches would be around 43.1 feet tall.
Recreational maths with 138198816
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 138198816 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 138198816 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138198816/
Chicago style:
Numbermatics. 2024. "Number 138198816 - Facts about the integer". https://numbermatics.com/n/138198816/
The information we have on file for 138198816 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 138198816, math, Factors of 138198816, curriculum, school, college, exams, university, Prime factorization of 138198816, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight million, one hundred ninety-eight thousand, eight hundred sixteen.