478213920
478,213,920 is an even composite number composed of five prime numbers multiplied together.
478213920 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 478213920:
25 × 32 × 5 × 313 × 1061
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 313 × 1061)See below for interesting mathematical facts about the number 478213920 from the Numbermatics database.
Names of 478213920
- Cardinal: 478213920 can be written as Four hundred seventy-eight million, two hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.7821392 × 108
Factors of 478213920
Divisors of 478213920
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 313 360 480 626 720 939 1061 1252 1440 1565 1878 2122 2504 2817 3130 3183 3756 4244 4695 5008 5305 5634 6260 6366 7512 8488 9390 9549 10016 10610 11268 12520 12732 14085 15024 15915 16976 18780 19098 21220 22536 25040 25464 28170 30048 31830 33952 37560 38196 42440 45072 47745 50080 50928 56340 63660 75120 76392 84880 90144 95490 101856 112680 127320 150240 152784 169760 190980 225360 254640 305568 332093 381960 450720 509280 664186 763920 996279 1328372 1527840 1660465 1992558 2656744 2988837 3320930 3985116 4981395 5313488 5977674 6641860 7970232 9962790 10626976 11955348 13283720 14944185 15940464 19925580 23910696 26567440 29888370 31880928 39851160 47821392 53134880 59776740 79702320 95642784 119553480 159404640 239106960 478213920
- Sum of all divisors σ(n): 1638661752
- Sum of proper divisors (its aliquot sum) s(n): 1160447832
- 478213920 is an abundant number, because the sum of its proper divisors (1160447832) is greater than itself. Its abundance is 682233912
Bases of 478213920
- Binary: 111001000000011110111001000002
- Hexadecimal: 0x1C80F720
- Base-36: 7WPS80
Squares and roots of 478213920
- 478213920 squared (4782139202) is 228688553281766400
- 478213920 cubed (4782139203) is 109362049524002374668288000
-
The
square root of 478213920 is 21868.1027983683 -
The
cube root of 478213920 is 782.0011730239
Scales and comparisons
How big is 478213920?- 478,213,920 seconds is equal to 15 years, 10 weeks, 4 days, 21 hours, 12 minutes.
-
To count from 1 to 478,213,920 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 478213920 cubic inches would be around 65.2 feet tall.
Recreational maths with 478213920
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 478213920 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
APA style:
Numbermatics. (2024). Number 478213920 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/478213920/
Chicago style:
Numbermatics. 2024. "Number 478213920 - Facts about the integer". https://numbermatics.com/n/478213920/
The information we have on file for 478213920 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 478213920, math, Factors of 478213920, curriculum, school, college, exams, university, Prime factorization of 478213920, STEM, science, technology, engineering, physics, economics, calculator, four hundred seventy-eight million, two hundred thirteen thousand, nine hundred twenty.