242768640
242,768,640 is an even composite number composed of five prime numbers multiplied together.
242768640 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 242768640:
28 × 3 × 5 × 191 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 191 × 331)See below for interesting mathematical facts about the number 242768640 from the Numbermatics database.
Names of 242768640
- Cardinal: 242768640 can be written as Two hundred forty-two million, seven hundred sixty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 2.4276864 × 108
Factors of 242768640
Divisors of 242768640
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 191 192 240 256 320 331 382 384 480 573 640 662 764 768 955 960 993 1146 1280 1324 1528 1655 1910 1920 1986 2292 2648 2865 3056 3310 3820 3840 3972 4584 4965 5296 5730 6112 6620 7640 7944 9168 9930 10592 11460 12224 13240 15280 15888 18336 19860 21184 22920 24448 26480 30560 31776 36672 39720 42368 45840 48896 52960 61120 63221 63552 73344 79440 84736 91680 105920 122240 126442 127104 146688 158880 183360 189663 211840 244480 252884 254208 316105 317760 366720 379326 423680 505768 632210 635520 733440 758652 948315 1011536 1264420 1271040 1517304 1896630 2023072 2528840 3034608 3793260 4046144 5057680 6069216 7586520 8092288 10115360 12138432 15173040 16184576 20230720 24276864 30346080 40461440 48553728 60692160 80922880 121384320 242768640
- Sum of all divisors σ(n): 781756416
- Sum of proper divisors (its aliquot sum) s(n): 538987776
- 242768640 is an abundant number, because the sum of its proper divisors (538987776) is greater than itself. Its abundance is 296219136
Bases of 242768640
- Binary: 11100111100001011011000000002
- Hexadecimal: 0xE785B00
- Base-36: 40JDHC
Squares and roots of 242768640
- 242768640 squared (2427686402) is 58936612567449600
- 242768640 cubed (2427686403) is 14307961279206647660544000
-
The
square root of 242768640 is 15581.0346254669 -
The
cube root of 242768640 is 623.8270395057
Scales and comparisons
How big is 242768640?- 242,768,640 seconds is equal to 7 years, 37 weeks, 2 days, 19 hours, 44 minutes.
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To count from 1 to 242,768,640 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 242768640 cubic inches would be around 52 feet tall.
Recreational maths with 242768640
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