242788320
242,788,320 is an even composite number composed of five prime numbers multiplied together.
242788320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 242788320:
25 × 33 × 5 × 43 × 1307
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 43 × 1307)See below for interesting mathematical facts about the number 242788320 from the Numbermatics database.
Names of 242788320
- Cardinal: 242788320 can be written as Two hundred forty-two million, seven hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.4278832 × 108
Factors of 242788320
Divisors of 242788320
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 43 45 48 54 60 72 80 86 90 96 108 120 129 135 144 160 172 180 215 216 240 258 270 288 344 360 387 430 432 480 516 540 645 688 720 774 860 864 1032 1080 1161 1290 1307 1376 1440 1548 1720 1935 2064 2160 2322 2580 2614 3096 3440 3870 3921 4128 4320 4644 5160 5228 5805 6192 6535 6880 7740 7842 9288 10320 10456 11610 11763 12384 13070 15480 15684 18576 19605 20640 20912 23220 23526 26140 30960 31368 35289 37152 39210 41824 46440 47052 52280 56201 58815 61920 62736 70578 78420 92880 94104 104560 112402 117630 125472 141156 156840 168603 176445 185760 188208 209120 224804 235260 281005 282312 313680 337206 352890 376416 449608 470520 505809 562010 564624 627360 674412 705780 843015 899216 941040 1011618 1124020 1129248 1348824 1411560 1517427 1686030 1798432 1882080 2023236 2248040 2529045 2697648 2823120 3034854 3372060 4046472 4496080 5058090 5395296 5646240 6069708 6744120 7587135 8092944 8992160 10116180 12139416 13488240 15174270 16185888 20232360 24278832 26976480 30348540 40464720 48557664 60697080 80929440 121394160 242788320
- Sum of all divisors σ(n): 870186240
- Sum of proper divisors (its aliquot sum) s(n): 627397920
- 242788320 is an abundant number, because the sum of its proper divisors (627397920) is greater than itself. Its abundance is 384609600
Bases of 242788320
- Binary: 11100111100010100111111000002
- Hexadecimal: 0xE78A7E0
- Base-36: 40JSO0
Squares and roots of 242788320
- 242788320 squared (2427883202) is 58946168328422400
- 242788320 cubed (2427883203) is 14311441178894882746368000
-
The
square root of 242788320 is 15581.6661496773 -
The
cube root of 242788320 is 623.8438958625
Scales and comparisons
How big is 242788320?- 242,788,320 seconds is equal to 7 years, 37 weeks, 3 days, 1 hour, 12 minutes.
-
To count from 1 to 242,788,320 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 242788320 cubic inches would be around 52 feet tall.
Recreational maths with 242788320
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