480901200
480,901,200 is an even composite number composed of six prime numbers multiplied together.
480901200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 480901200:
24 × 3 × 52 × 13 × 29 × 1063
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 29 × 1063)See below for interesting mathematical facts about the number 480901200 from the Numbermatics database.
Names of 480901200
- Cardinal: 480901200 can be written as Four hundred eighty million, nine hundred one thousand, two hundred.
Scientific notation
- Scientific notation: 4.809012 × 108
Factors of 480901200
Divisors of 480901200
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 29 30 39 40 48 50 52 58 60 65 75 78 80 87 100 104 116 120 130 145 150 156 174 195 200 208 232 240 260 290 300 312 325 348 377 390 400 435 464 520 580 600 624 650 696 725 754 780 870 975 1040 1063 1131 1160 1200 1300 1392 1450 1508 1560 1740 1885 1950 2126 2175 2262 2320 2600 2900 3016 3120 3189 3480 3770 3900 4252 4350 4524 5200 5315 5655 5800 6032 6378 6960 7540 7800 8504 8700 9048 9425 10630 11310 11600 12756 13819 15080 15600 15945 17008 17400 18096 18850 21260 22620 25512 26575 27638 28275 30160 30827 31890 34800 37700 41457 42520 45240 51024 53150 55276 56550 61654 63780 69095 75400 79725 82914 85040 90480 92481 106300 110552 113100 123308 127560 138190 150800 154135 159450 165828 184962 207285 212600 221104 226200 246616 255120 276380 308270 318900 331656 345475 369924 400751 414570 425200 452400 462405 493232 552760 616540 637800 663312 690950 739848 770675 801502 829140 924810 1036425 1105520 1202253 1233080 1275600 1381900 1479696 1541350 1603004 1658280 1849620 2003755 2072850 2312025 2404506 2466160 2763800 3082700 3206008 3316560 3699240 4007510 4145700 4624050 4809012 5527600 6011265 6165400 6412016 7398480 8015020 8291400 9248100 9618024 10018775 12022530 12330800 16030040 16582800 18496200 19236048 20037550 24045060 30056325 32060080 36992400 40075100 48090120 60112650 80150200 96180240 120225300 160300400 240450600 480901200
- Sum of all divisors σ(n): 1717806720
- Sum of proper divisors (its aliquot sum) s(n): 1236905520
- 480901200 is an abundant number, because the sum of its proper divisors (1236905520) is greater than itself. Its abundance is 756004320
Bases of 480901200
- Binary: 111001010100111111000010100002
- Hexadecimal: 0x1CA9F850
- Base-36: 7YBDQO
Squares and roots of 480901200
- 480901200 squared (4809012002) is 231265964161440000
- 480901200 cubed (4809012003) is 111216079684393489728000000
-
The
square root of 480901200 is 21929.4596376655 -
The
cube root of 480901200 is 783.4632328211
Scales and comparisons
How big is 480901200?- 480,901,200 seconds is equal to 15 years, 15 weeks, 23 hours, 40 minutes.
-
To count from 1 to 480,901,200 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 480901200 cubic inches would be around 65.3 feet tall.
Recreational maths with 480901200
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 480901200 - Facts about the integer". Numbermatics.com. 2024. Web. 20 May 2024.
APA style:
Numbermatics. (2024). Number 480901200 - Facts about the integer. Retrieved 20 May 2024, from https://numbermatics.com/n/480901200/
Chicago style:
Numbermatics. 2024. "Number 480901200 - Facts about the integer". https://numbermatics.com/n/480901200/
The information we have on file for 480901200 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 480901200, math, Factors of 480901200, curriculum, school, college, exams, university, Prime factorization of 480901200, STEM, science, technology, engineering, physics, economics, calculator, four hundred eighty million, nine hundred one thousand, two hundred.