242075946168000
242,075,946,168,000 is an even composite number composed of six prime numbers multiplied together.
242075946168000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, two hundred divisors.
Prime factorization of 242075946168000:
26 × 34 × 53 × 74 × 192 × 431
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 19 × 19 × 431)See below for interesting mathematical facts about the number 242075946168000 from the Numbermatics database.
Names of 242075946168000
- Cardinal: 242075946168000 can be written as Two hundred forty-two trillion, seventy-five billion, nine hundred forty-six million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 2.42075946168 × 1014
Factors of 242075946168000
Divisors of 242075946168000
- Number of divisors d(n): 4200
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 49 50 54 56 57 60 63 64 70 72 75 76 80 81 84 90 95 96 98 100 105 108 112 114 120 125 126 133 135 140 144 147 150 152 160 162 168 171 175 180 189 190 192 196 200 210 216 224 225 228 240 245 250 252 266 270 280 285 288 294 300 304 315 320 324 336 342 343 350 360 361 375 378 380 392 399 400 405 420 431 432 441 448 450 456 475 480 490 500 504 513 525 532 540 560 567 570 576 588 600 608 630 648 665 672 675 684 686 700 720 722 735 750 756 760 784 798 800 810 840 855 862 864 875 882 900 912 931 945 950 960 980 1000 1008 1026 1029 1050 1064 1080 1083 1120 1125 1134 1140 1176 1197 1200 1216 1225 1260 1293 1296 1323 1330 1344 1350 1368 1372 1400 1425 1440 1444 1470 1500 1512 1520 1539 1568 1575 1596 1600 1620 1680 1710 1715 1724 1728 1750 1764 1800 1805 1824 1862 1890 1900 1960 1995 2000 2016 2025 2052 2058 2100 2128 2155 2160 2166 2205 2240 2250 2268 2280 2352 2375 2394 2400 2401 2450 2520 2527 2565 2586 2592 2625 2646 2660 2700 2736 2744 2793 2800 2835 2850 2880 2888 2940 3000 3017 3024 3040 3078 3087 3136 3150 3192 3240 3249 3325 3360 3375 3420 3430 3448 3500 3528 3591 3600 3610 3648 3675 3724 3780 3800 3879 3920 3969 3990 4000 4032 4050 4104 4116 4200 4256 4275 4310 4320 4332 4410 4500 4536 4560 4655 4704 4725 4750 4788 4800 4802 4900 5040 5054 5130 5145 5172 5184 5250 5292 5320 5400 5415 5472 5488 5586 5600 5670 5700 5776 5880 5985 6000 6034 6048 6080 6125 6156 6174 6300 6384 6465 6480 6498 6517 6615 6650 6720 6750 6840 6860 6896 7000 7056 7125 7182 7200 7203 7220 7350 7448 7560 7581 7600 7695 7758 7840 7875 7938 7980 8000 8100 8189 8208 8232 8379 8400 8512 8550 8575 8620 8640 8664 8820 9000 9025 9051 9072 9120 9261 9310 9408 9450 9500 9576 9604 9747 9800 9975 10080 10108 10125 10260 10290 10344 10500 10584 10640 10773 10775 10800 10830 10944 10976 11025 11172 11200 11340 11400 11552 11637 11760 11970 12000 12005 12068 12096 12250 12312 12348 12600 12635 12768 12825 12930 12960 12996 13034 13230 13300 13500 13680 13720 13792 13965 14000 14112 14175 14250 14364 14400 14406 14440 14700 14896 15085 15120 15162 15200 15390 15435 15516 15680 15750 15876 15960 16200 16245 16378 16416 16464 16625 16758 16800 17100 17150 17240 17328 17640 17689 17955 18000 18050 18102 18144 18240 18375 18522 18620 18900 19000 19152 19208 19395 19494 19551 19600 19845 19950 20160 20216 20250 20520 20580 20688 21000 21119 21168 21280 21375 21546 21550 21600 21609 21660 21952 22050 22344 22680 22743 22800 23104 23274 23275 23520 23625 23940 24000 24010 24136 24500 24567 24624 24696 25137 25200 25270 25536 25650 25725 25860 25920 25992 26068 26460 26600 27000 27075 27153 27360 27440 27584 27783 27930 28000 28224 28350 28500 28728 28812 28880 29241 29400 29792 29925 30170 30240 30324 30400 30780 30870 31032 31500 31752 31920 32325 32400 32490 32585 32756 32832 32928 33075 33250 33516 33600 34200 34300 34480 34656 34911 35280 35378 35910 36000 36015 36100 36204 36288 36750 37044 37240 37800 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560360986500 561661128000 576371300400 597718385600 605189865420 606706632000 617540679000 637041963600 640412556000 645535856448 670570488000 672433183800 691645560480 705760776000 707824404000 720464125500 747147982000 756487331775 768495067200 796302454500 806919820560 823387572000 840541479750 849389284800 864556950600 896577578400 910059948000 960618834000 968303784672 988065086400 1008649775700 1061736606000 1075893094080 1080696188250 1120721973000 1152742600800 1210379730840 1235081358000 1260812219625 1274083927200 1280825112000 1344866367600 1383291120960 1415648808000 1440928251000 1494295964000 1512974663550 1592604909000 1613839641120 1646775144000 1681082959500 1729113901200 1793155156800 1820119896000 1921237668000 1936607569344 2017299551400 2123473212000 2161392376500 2241443946000 2305485201600 2420759461680 2470162716000 2521624439250 2548167854400 2689732735200 2881856502000 2988591928000 3025949327100 3185209818000 3227679282240 3362165919000 3458227802400 3782436658875 3842475336000 4034599102800 4246946424000 4322784753000 4482887892000 4841518923360 4940325432000 5043248878500 5379465470400 5763713004000 6051898654200 6370419636000 6724331838000 6916455604800 7564873317750 8069198205600 8645569506000 8965775784000 9683037846720 10086497757000 11527426008000 12103797308400 12740839272000 13448663676000 15129746635500 16138396411200 17291139012000 20172995514000 24207594616800 26897327352000 30259493271000 34582278024000 40345991028000 48415189233600 60518986542000 80691982056000 121037973084000 242075946168000
- Sum of all divisors σ(n): 1105186371816384
- Sum of proper divisors (its aliquot sum) s(n): 863110425648384
- 242075946168000 is an abundant number, because the sum of its proper divisors (863110425648384) is greater than itself. Its abundance is 621034479480384
Bases of 242075946168000
- Binary: 1101110000101010101100101100011110101110110000002
- Hexadecimal: 0xDC2AB2C7AEC0
- Base-36: 2DT45K4S00
Squares and roots of 242075946168000
- 242075946168000 squared (2420759461680002) is 58600763713132433884224000000
- 242075946168000 cubed (2420759461680003) is 14185835322023934859612228168453632000000000
-
The
square root of 242075946168000 is 15558789.9969117135 -
The
cube root of 242075946168000 is 62323.3150625999
Scales and comparisons
How big is 242075946168000?- 242,075,946,168,000 seconds is equal to 7,697,266 years, 15 weeks, 3 days, 12 hours.
-
To count from 1 to 242,075,946,168,000 would take you about nineteen million, two hundred forty-three thousand, one hundred sixty-five 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 242075946168000 cubic inches would be around 5193.6 feet tall.
Recreational maths with 242075946168000
- 242075946168000 backwards is 000861649570242
- 242075946168000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242075946168000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 242075946168000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 242075946168000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/242075946168000/
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Numbermatics. 2024. "Number 242075946168000 - Facts about the integer". https://numbermatics.com/n/242075946168000/
The information we have on file for 242075946168000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 242075946168000, math, Factors of 242075946168000, curriculum, school, college, exams, university, Prime factorization of 242075946168000, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two trillion, seventy-five billion, nine hundred forty-six million, one hundred sixty-eight thousand.