242089120
242,089,120 is an even composite number composed of five prime numbers multiplied together.
242089120 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 242089120:
25 × 5 × 7 × 132 × 1279
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 13 × 1279)See below for interesting mathematical facts about the number 242089120 from the Numbermatics database.
Names of 242089120
- Cardinal: 242089120 can be written as Two hundred forty-two million, eighty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.4208912 × 108
Factors of 242089120
Divisors of 242089120
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 169 182 208 224 260 280 338 364 416 455 520 560 676 728 845 910 1040 1120 1183 1279 1352 1456 1690 1820 2080 2366 2558 2704 2912 3380 3640 4732 5116 5408 5915 6395 6760 7280 8953 9464 10232 11830 12790 13520 14560 16627 17906 18928 20464 23660 25580 27040 33254 35812 37856 40928 44765 47320 51160 66508 71624 83135 89530 94640 102320 116389 133016 143248 166270 179060 189280 204640 216151 232778 266032 286496 332540 358120 432302 465556 532064 581945 665080 716240 864604 931112 1080755 1163890 1330160 1432480 1513057 1729208 1862224 2161510 2327780 2660320 3026114 3458416 3724448 4323020 4655560 6052228 6916832 7565285 8646040 9311120 12104456 15130570 17292080 18622240 24208912 30261140 34584160 48417824 60522280 121044560 242089120
- Sum of all divisors σ(n): 708341760
- Sum of proper divisors (its aliquot sum) s(n): 466252640
- 242089120 is an abundant number, because the sum of its proper divisors (466252640) is greater than itself. Its abundance is 224163520
Bases of 242089120
- Binary: 11100110110111111100101000002
- Hexadecimal: 0xE6DFCA0
- Base-36: 404T5S
Squares and roots of 242089120
- 242089120 squared (2420891202) is 58607142022374400
- 242089120 cubed (2420891203) is 14188151437911638806528000
-
The
square root of 242089120 is 15559.2133477243 -
The
cube root of 242089120 is 623.2444559209
Scales and comparisons
How big is 242089120?- 242,089,120 seconds is equal to 7 years, 36 weeks, 1 day, 22 hours, 58 minutes, 40 seconds.
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To count from 1 to 242,089,120 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 242089120 cubic inches would be around 51.9 feet tall.
Recreational maths with 242089120
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