968426240
968,426,240 is an even composite number composed of five prime numbers multiplied together.
What does the number 968426240 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
968426240 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 968426240:
28 × 5 × 61 × 79 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 61 × 79 × 157)See below for interesting mathematical facts about the number 968426240 from the Numbermatics database.
Names of 968426240
- Cardinal: 968426240 can be written as Nine hundred sixty-eight million, four hundred twenty-six thousand, two hundred forty.
Scientific notation
- Scientific notation: 9.6842624 × 108
Factors of 968426240
Divisors of 968426240
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 8 10 16 20 32 40 61 64 79 80 122 128 157 158 160 244 256 305 314 316 320 395 488 610 628 632 640 785 790 976 1220 1256 1264 1280 1570 1580 1952 2440 2512 2528 3140 3160 3904 4819 4880 5024 5056 6280 6320 7808 9577 9638 9760 10048 10112 12403 12560 12640 15616 19154 19276 19520 20096 20224 24095 24806 25120 25280 38308 38552 39040 40192 47885 48190 49612 50240 50560 62015 76616 77104 78080 95770 96380 99224 100480 101120 124030 153232 154208 191540 192760 198448 200960 248060 306464 308416 383080 385520 396896 496120 612928 616832 756583 766160 771040 793792 992240 1225856 1233664 1513166 1532320 1542080 1587584 1984480 2451712 3026332 3064640 3084160 3175168 3782915 3968960 6052664 6129280 6168320 7565830 7937920 12105328 12258560 15131660 15875840 24210656 30263320 48421312 60526640 96842624 121053280 193685248 242106560 484213120 968426240
- Sum of all divisors σ(n): 2402762880
- Sum of proper divisors (its aliquot sum) s(n): 1434336640
- 968426240 is an abundant number, because the sum of its proper divisors (1434336640) is greater than itself. Its abundance is 465910400
Bases of 968426240
- Binary: 1110011011100100000011000000002
- Hexadecimal: 0x39B90300
- Base-36: G0KQGW
Squares and roots of 968426240
- 968426240 squared (9684262402) is 937849382320537600
- 968426240 cubed (9684262403) is 908237951007000702746624000
-
The
square root of 968426240 is 31119.5475545517 -
The
cube root of 968426240 is 989.3626615801
Scales and comparisons
How big is 968426240?- 968,426,240 seconds is equal to 30 years, 41 weeks, 1 day, 15 hours, 17 minutes, 20 seconds.
-
To count from 1 to 968,426,240 would take you about forty-six 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 968426240 cubic inches would be around 82.4 feet tall.
Recreational maths with 968426240
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 968426240 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 968426240 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/968426240/
Chicago style:
Numbermatics. 2024. "Number 968426240 - Facts about the integer". https://numbermatics.com/n/968426240/
The information we have on file for 968426240 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 968426240, math, Factors of 968426240, curriculum, school, college, exams, university, Prime factorization of 968426240, STEM, science, technology, engineering, physics, economics, calculator, nine hundred sixty-eight million, four hundred twenty-six thousand, two hundred forty.