242728512
242,728,512 is an even composite number composed of five prime numbers multiplied together.
What does the number 242728512 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 112 divisors.
242728512 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 242728512:
26 × 3 × 13 × 31 × 3137
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 31 × 3137)See below for interesting mathematical facts about the number 242728512 from the Numbermatics database.
Names of 242728512
- Cardinal: 242728512 can be written as Two hundred forty-two million, seven hundred twenty-eight thousand, five hundred twelve.
Scientific notation
- Scientific notation: 2.42728512 × 108
Factors of 242728512
Divisors of 242728512
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1984 2418 2496 2976 3137 3224 4836 5952 6274 6448 9411 9672 12548 12896 18822 19344 25096 25792 37644 38688 40781 50192 75288 77376 81562 97247 100384 122343 150576 163124 194494 200768 244686 291741 301152 326248 388988 489372 583482 602304 652496 777976 978744 1166964 1264211 1304992 1555952 1957488 2333928 2528422 2609984 3111904 3792633 3914976 4667856 5056844 6223808 7585266 7829952 9335712 10113688 15170532 18671424 20227376 30341064 40454752 60682128 80909504 121364256 242728512
- Sum of all divisors σ(n): 714158592
- Sum of proper divisors (its aliquot sum) s(n): 471430080
- 242728512 is an abundant number, because the sum of its proper divisors (471430080) is greater than itself. Its abundance is 228701568
Bases of 242728512
- Binary: 11100111011110111110010000002
- Hexadecimal: 0xE77BE40
- Base-36: 40IIIO
Squares and roots of 242728512
- 242728512 squared (2427285122) is 58917130537734144
- 242728512 cubed (2427285123) is 14300867426733968624713728
-
The
square root of 242728512 is 15579.7468528857 -
The
cube root of 242728512 is 623.7926661605
Scales and comparisons
How big is 242728512?- 242,728,512 seconds is equal to 7 years, 37 weeks, 2 days, 8 hours, 35 minutes, 12 seconds.
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To count from 1 to 242,728,512 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 242728512 cubic inches would be around 52 feet tall.
Recreational maths with 242728512
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Keywords: Divisors of 242728512, math, Factors of 242728512, curriculum, school, college, exams, university, Prime factorization of 242728512, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two million, seven hundred twenty-eight thousand, five hundred twelve.