242409216
242,409,216 is an even composite number composed of five prime numbers multiplied together.
242409216 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 242409216:
28 × 3 × 7 × 67 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 67 × 673)See below for interesting mathematical facts about the number 242409216 from the Numbermatics database.
Names of 242409216
- Cardinal: 242409216 can be written as Two hundred forty-two million, four hundred nine thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 2.42409216 × 108
Factors of 242409216
Divisors of 242409216
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 256 268 336 384 402 448 469 536 672 673 768 804 896 938 1072 1344 1346 1407 1608 1792 1876 2019 2144 2688 2692 2814 3216 3752 4038 4288 4711 5376 5384 5628 6432 7504 8076 8576 9422 10768 11256 12864 14133 15008 16152 17152 18844 21536 22512 25728 28266 30016 32304 37688 43072 45024 45091 51456 56532 60032 64608 75376 86144 90048 90182 113064 120064 129216 135273 150752 172288 180096 180364 226128 258432 270546 301504 315637 360192 360728 452256 516864 541092 603008 631274 721456 904512 946911 1082184 1206016 1262548 1442912 1809024 1893822 2164368 2525096 2885824 3618048 3787644 4328736 5050192 5771648 7575288 8657472 10100384 11543296 15150576 17314944 20200768 30301152 34629888 40401536 60602304 80803072 121204608 242409216
- Sum of all divisors σ(n): 749444864
- Sum of proper divisors (its aliquot sum) s(n): 507035648
- 242409216 is an abundant number, because the sum of its proper divisors (507035648) is greater than itself. Its abundance is 264626432
Bases of 242409216
- Binary: 11100111001011011111000000002
- Hexadecimal: 0xE72DF00
- Base-36: 40BO5C
Squares and roots of 242409216
- 242409216 squared (2424092162) is 58762228001734656
- 242409216 cubed (2424092163) is 14244505620313744600989696
-
The
square root of 242409216 is 15569.4963309671 -
The
cube root of 242409216 is 623.5190244969
Scales and comparisons
How big is 242409216?- 242,409,216 seconds is equal to 7 years, 36 weeks, 5 days, 15 hours, 53 minutes, 36 seconds.
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To count from 1 to 242,409,216 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 242409216 cubic inches would be around 52 feet tall.
Recreational maths with 242409216
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