480813312
480,813,312 is an even composite number composed of five prime numbers multiplied together.
480813312 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 480813312:
28 × 3 × 7 × 17 × 5261
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 17 × 5261)See below for interesting mathematical facts about the number 480813312 from the Numbermatics database.
Names of 480813312
- Cardinal: 480813312 can be written as Four hundred eighty million, eight hundred thirteen thousand, three hundred twelve.
Scientific notation
- Scientific notation: 4.80813312 × 108
Factors of 480813312
Divisors of 480813312
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 544 672 714 768 816 896 952 1088 1344 1428 1632 1792 1904 2176 2688 2856 3264 3808 4352 5261 5376 5712 6528 7616 10522 11424 13056 15232 15783 21044 22848 30464 31566 36827 42088 45696 63132 73654 84176 89437 91392 110481 126264 147308 168352 178874 220962 252528 268311 294616 336704 357748 441924 505056 536622 589232 626059 673408 715496 883848 1010112 1073244 1178464 1252118 1346816 1430992 1767696 1878177 2020224 2146488 2356928 2504236 2861984 3535392 3756354 4040448 4292976 4713856 5008472 5723968 7070784 7512708 8585952 9427712 10016944 11447936 14141568 15025416 17171904 20033888 22895872 28283136 30050832 34343808 40067776 60101664 68687616 80135552 120203328 160271104 240406656 480813312
- Sum of all divisors σ(n): 1548796032
- Sum of proper divisors (its aliquot sum) s(n): 1067982720
- 480813312 is an abundant number, because the sum of its proper divisors (1067982720) is greater than itself. Its abundance is 587169408
Bases of 480813312
- Binary: 111001010100010100001000000002
- Hexadecimal: 0x1CA8A100
- Base-36: 7Y9HXC
Squares and roots of 480813312
- 480813312 squared (4808133122) is 231181440996409344
- 480813312 cubed (4808133123) is 111155114318416156796387328
-
The
square root of 480813312 is 21927.4556663561 -
The
cube root of 480813312 is 783.4155021497
Scales and comparisons
How big is 480813312?- 480,813,312 seconds is equal to 15 years, 14 weeks, 6 days, 23 hours, 15 minutes, 12 seconds.
-
To count from 1 to 480,813,312 would take you about twenty-two 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 480813312 cubic inches would be around 65.3 feet tall.
Recreational maths with 480813312
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 480813312 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 480813312 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/480813312/
Chicago style:
Numbermatics. 2024. "Number 480813312 - Facts about the integer". https://numbermatics.com/n/480813312/
The information we have on file for 480813312 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 480813312, math, Factors of 480813312, curriculum, school, college, exams, university, Prime factorization of 480813312, STEM, science, technology, engineering, physics, economics, calculator, four hundred eighty million, eight hundred thirteen thousand, three hundred twelve.