242814720
242,814,720 is an even composite number composed of five prime numbers multiplied together.
242814720 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 242814720:
28 × 3 × 5 × 37 × 1709
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 37 × 1709)See below for interesting mathematical facts about the number 242814720 from the Numbermatics database.
Names of 242814720
- Cardinal: 242814720 can be written as Two hundred forty-two million, eight hundred fourteen thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 2.4281472 × 108
Factors of 242814720
Divisors of 242814720
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 555 592 640 740 768 888 960 1110 1184 1280 1480 1709 1776 1920 2220 2368 2960 3418 3552 3840 4440 4736 5127 5920 6836 7104 8545 8880 9472 10254 11840 13672 14208 17090 17760 20508 23680 25635 27344 28416 34180 35520 41016 47360 51270 54688 63233 68360 71040 82032 102540 109376 126466 136720 142080 164064 189699 205080 218752 252932 273440 316165 328128 379398 410160 437504 505864 546880 632330 656256 758796 820320 948495 1011728 1093760 1264660 1312512 1517592 1640640 1896990 2023456 2187520 2529320 3035184 3281280 3793980 4046912 5058640 6070368 6562560 7587960 8093824 10117280 12140736 15175920 16187648 20234560 24281472 30351840 40469120 48562944 60703680 80938240 121407360 242814720
- Sum of all divisors σ(n): 796914720
- Sum of proper divisors (its aliquot sum) s(n): 554100000
- 242814720 is an abundant number, because the sum of its proper divisors (554100000) is greater than itself. Its abundance is 311285280
Bases of 242814720
- Binary: 11100111100100001111000000002
- Hexadecimal: 0xE790F00
- Base-36: 40KD1C
Squares and roots of 242814720
- 242814720 squared (2428147202) is 58958988248678400
- 242814720 cubed (2428147203) is 14316110223086136066048000
-
The
square root of 242814720 is 15582.5132761053 -
The
cube root of 242814720 is 623.8665066177
Scales and comparisons
How big is 242814720?- 242,814,720 seconds is equal to 7 years, 37 weeks, 3 days, 8 hours, 32 minutes.
-
To count from 1 to 242,814,720 would take you about eleven 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 242814720 cubic inches would be around 52 feet tall.
Recreational maths with 242814720
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 242814720 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 242814720 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/242814720/
Chicago style:
Numbermatics. 2024. "Number 242814720 - Facts about the integer". https://numbermatics.com/n/242814720/
The information we have on file for 242814720 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 242814720, math, Factors of 242814720, curriculum, school, college, exams, university, Prime factorization of 242814720, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two million, eight hundred fourteen thousand, seven hundred twenty.