328131200
328,131,200 is an even composite number composed of four prime numbers multiplied together.
328131200 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 328131200:
27 × 52 × 412 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 41 × 41 × 61)See below for interesting mathematical facts about the number 328131200 from the Numbermatics database.
Names of 328131200
- Cardinal: 328131200 can be written as Three hundred twenty-eight million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 3.281312 × 108
Factors of 328131200
Divisors of 328131200
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 41 50 61 64 80 82 100 122 128 160 164 200 205 244 305 320 328 400 410 488 610 640 656 800 820 976 1025 1220 1312 1525 1600 1640 1681 1952 2050 2440 2501 2624 3050 3200 3280 3362 3904 4100 4880 5002 5248 6100 6560 6724 7808 8200 8405 9760 10004 12200 12505 13120 13448 16400 16810 19520 20008 24400 25010 26240 26896 32800 33620 39040 40016 42025 48800 50020 53792 62525 65600 67240 80032 84050 97600 100040 102541 107584 125050 131200 134480 160064 168100 195200 200080 205082 215168 250100 268960 320128 336200 400160 410164 500200 512705 537920 672400 800320 820328 1000400 1025410 1075840 1344800 1600640 1640656 2000800 2050820 2563525 2689600 3281312 4001600 4101640 5127050 5379200 6562624 8003200 8203280 10254100 13125248 16406560 20508200 32813120 41016400 65626240 82032800 164065600 328131200
- Sum of all divisors σ(n): 844459530
- Sum of proper divisors (its aliquot sum) s(n): 516328330
- 328131200 is an abundant number, because the sum of its proper divisors (516328330) is greater than itself. Its abundance is 188197130
Bases of 328131200
- Binary: 100111000111011100010100000002
- Hexadecimal: 0x138EE280
- Base-36: 5FCZNK
Squares and roots of 328131200
- 328131200 squared (3281312002) is 107670084413440000
- 328131200 cubed (3281312003) is 35329914002683363328000000
-
The
square root of 328131200 is 18114.3920681871 -
The
cube root of 328131200 is 689.7353882787
Scales and comparisons
How big is 328131200?- 328,131,200 seconds is equal to 10 years, 22 weeks, 3 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 328,131,200 would take you about fifteen 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 328131200 cubic inches would be around 57.5 feet tall.
Recreational maths with 328131200
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 328131200 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 328131200 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/328131200/
Chicago style:
Numbermatics. 2024. "Number 328131200 - Facts about the integer". https://numbermatics.com/n/328131200/
The information we have on file for 328131200 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 328131200, math, Factors of 328131200, curriculum, school, college, exams, university, Prime factorization of 328131200, STEM, science, technology, engineering, physics, economics, calculator, three hundred twenty-eight million, one hundred thirty-one thousand, two hundred.