470486968
470,486,968 is an even composite number composed of five prime numbers multiplied together.
470486968 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 470486968:
23 × 7 × 17 × 192 × 372
(2 × 2 × 2 × 7 × 17 × 19 × 19 × 37 × 37)See below for interesting mathematical facts about the number 470486968 from the Numbermatics database.
Names of 470486968
- Cardinal: 470486968 can be written as Four hundred seventy million, four hundred eighty-six thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.70486968 × 108
Factors of 470486968
Divisors of 470486968
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 7 8 14 17 19 28 34 37 38 56 68 74 76 119 133 136 148 152 238 259 266 296 323 361 476 518 532 629 646 703 722 952 1036 1064 1258 1292 1369 1406 1444 2072 2261 2516 2527 2584 2738 2812 2888 4403 4522 4921 5032 5054 5476 5624 6137 8806 9044 9583 9842 10108 10952 11951 12274 13357 17612 18088 19166 19684 20216 23273 23902 24548 26011 26714 35224 38332 39368 42959 46546 47804 49096 52022 53428 76664 83657 85918 93092 93499 95608 104044 106856 162911 167314 171836 182077 186184 186998 208088 227069 325822 334628 343672 364154 373996 442187 454138 494209 651644 669256 728308 747992 884374 908276 988418 1303288 1456616 1589483 1768748 1816552 1976836 3095309 3178966 3459463 3537496 3953672 6190618 6357932 6918926 8401553 12381236 12715864 13837852 16803106 24762472 27675704 33606212 58810871 67212424 117621742 235243484 470486968
- Sum of all divisors σ(n): 1157904720
- Sum of proper divisors (its aliquot sum) s(n): 687417752
- 470486968 is an abundant number, because the sum of its proper divisors (687417752) is greater than itself. Its abundance is 216930784
Bases of 470486968
- Binary: 111000000101100001111101110002
- Hexadecimal: 0x1C0B0FB8
- Base-36: 7S462G
Squares and roots of 470486968
- 470486968 squared (4704869682) is 221357987057833024
- 470486968 cubed (4704869683) is 104146048173423100112031232
-
The
square root of 470486968 is 21690.7115604813 -
The
cube root of 470486968 is 777.7664394961
Scales and comparisons
How big is 470486968?- 470,486,968 seconds is equal to 14 years, 49 weeks, 6 days, 10 hours, 49 minutes, 28 seconds.
-
To count from 1 to 470,486,968 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 470486968 cubic inches would be around 64.8 feet tall.
Recreational maths with 470486968
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 470486968 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 470486968 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/470486968/
Chicago style:
Numbermatics. 2024. "Number 470486968 - Facts about the integer". https://numbermatics.com/n/470486968/
The information we have on file for 470486968 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 470486968, math, Factors of 470486968, curriculum, school, college, exams, university, Prime factorization of 470486968, STEM, science, technology, engineering, physics, economics, calculator, four hundred seventy million, four hundred eighty-six thousand, nine hundred sixty-eight.