242085200
242,085,200 is an even composite number composed of five prime numbers multiplied together.
242085200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 242085200:
24 × 52 × 7 × 31 × 2789
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 31 × 2789)See below for interesting mathematical facts about the number 242085200 from the Numbermatics database.
Names of 242085200
- Cardinal: 242085200 can be written as Two hundred forty-two million, eighty-five thousand, two hundred.
Scientific notation
- Scientific notation: 2.420852 × 108
Factors of 242085200
Divisors of 242085200
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 140 155 175 200 217 248 280 310 350 400 434 496 560 620 700 775 868 1085 1240 1400 1550 1736 2170 2480 2789 2800 3100 3472 4340 5425 5578 6200 8680 10850 11156 12400 13945 17360 19523 21700 22312 27890 39046 43400 44624 55780 69725 78092 86459 86800 97615 111560 139450 156184 172918 195230 223120 278900 312368 345836 390460 432295 488075 557800 605213 691672 780920 864590 976150 1115600 1210426 1383344 1561840 1729180 1952300 2161475 2420852 3026065 3458360 3904600 4322950 4841704 6052130 6916720 7809200 8645900 9683408 12104260 15130325 17291800 24208520 30260650 34583600 48417040 60521300 121042600 242085200
- Sum of all divisors σ(n): 686384640
- Sum of proper divisors (its aliquot sum) s(n): 444299440
- 242085200 is an abundant number, because the sum of its proper divisors (444299440) is greater than itself. Its abundance is 202214240
Bases of 242085200
- Binary: 11100110110111101101010100002
- Hexadecimal: 0xE6DED50
- Base-36: 404Q4W
Squares and roots of 242085200
- 242085200 squared (2420852002) is 58605244059040000
- 242085200 cubed (2420852003) is 14187462229081510208000000
-
The
square root of 242085200 is 15559.0873768355 -
The
cube root of 242085200 is 623.2410919651
Scales and comparisons
How big is 242085200?- 242,085,200 seconds is equal to 7 years, 36 weeks, 1 day, 21 hours, 53 minutes, 20 seconds.
-
To count from 1 to 242,085,200 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 242085200 cubic inches would be around 51.9 feet tall.
Recreational maths with 242085200
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