448008225
448,008,225 is an odd composite number composed of six prime numbers multiplied together.
448008225 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 448008225:
3 × 52 × 72 × 17 × 71 × 101
(3 × 5 × 5 × 7 × 7 × 17 × 71 × 101)See below for interesting mathematical facts about the number 448008225 from the Numbermatics database.
Names of 448008225
- Cardinal: 448008225 can be written as Four hundred forty-eight million, eight thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 4.48008225 × 108
Factors of 448008225
Divisors of 448008225
- Number of divisors d(n): 144
-
Complete list of divisors:
1 3 5 7 15 17 21 25 35 49 51 71 75 85 101 105 119 147 175 213 245 255 303 355 357 425 497 505 525 595 707 735 833 1065 1207 1225 1275 1491 1515 1717 1775 1785 2121 2485 2499 2525 2975 3479 3535 3621 3675 4165 4949 5151 5325 6035 7171 7455 7575 8449 8585 8925 10437 10605 12019 12425 12495 14847 17395 17675 18105 20825 21513 24745 25347 25755 30175 35855 36057 37275 42245 42925 50197 52185 53025 59143 60095 62475 74235 84133 86975 90525 107565 121907 123725 126735 128775 150591 177429 179275 180285 211225 250985 252399 260925 295715 300475 351379 365721 371175 420665 537825 609535 633675 752955 853349 887145 901425 1054137 1254925 1261995 1478575 1756895 1828605 2103325 2560047 3047675 3764775 4266745 4435725 5270685 5973443 6309975 8784475 9143025 12800235 17920329 21333725 26353425 29867215 64001175 89601645 149336075 448008225
- Sum of all divisors σ(n): 934333056
- Sum of proper divisors (its aliquot sum) s(n): 486324831
- 448008225 is an abundant number, because the sum of its proper divisors (486324831) is greater than itself. Its abundance is 38316606
Bases of 448008225
- Binary: 110101011010000010000001000012
- Hexadecimal: 0x1AB41021
- Base-36: 7EQDCX
Squares and roots of 448008225
- 448008225 squared (4480082252) is 200711369667650625
- 448008225 cubed (4480082253) is 89920344462122996426390625
-
The
square root of 448008225 is 21166.2047849869 -
The
cube root of 448008225 is 765.1771557765
Scales and comparisons
How big is 448008225?- 448,008,225 seconds is equal to 14 years, 12 weeks, 5 days, 6 hours, 43 minutes, 45 seconds.
-
To count from 1 to 448,008,225 would take you about twenty-one 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 448008225 cubic inches would be around 63.8 feet tall.
Recreational maths with 448008225
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 448008225 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 448008225 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/448008225/
Chicago style:
Numbermatics. 2024. "Number 448008225 - Facts about the integer". https://numbermatics.com/n/448008225/
The information we have on file for 448008225 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 448008225, math, Factors of 448008225, curriculum, school, college, exams, university, Prime factorization of 448008225, STEM, science, technology, engineering, physics, economics, calculator, four hundred forty-eight million, eight thousand, two hundred twenty-five.