242738722044416000
242,738,722,044,416,000 is an even composite number composed of five prime numbers multiplied together.
242738722044416000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, six hundred divisors.
Prime factorization of 242738722044416000:
212 × 53 × 13 × 194 × 234
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 19 × 19 × 19 × 19 × 23 × 23 × 23 × 23)See below for interesting mathematical facts about the number 242738722044416000 from the Numbermatics database.
Names of 242738722044416000
- Cardinal: 242738722044416000 can be written as Two hundred forty-two quadrillion, seven hundred thirty-eight trillion, seven hundred twenty-two billion, forty-four million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 2.42738722044416 × 1017
Factors of 242738722044416000
Divisors of 242738722044416000
- Number of divisors d(n): 2600
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 23 25 26 32 38 40 46 50 52 64 65 76 80 92 95 100 104 115 125 128 130 152 160 184 190 200 208 230 247 250 256 260 299 304 320 325 361 368 380 400 416 437 460 475 494 500 512 520 529 575 598 608 640 650 722 736 760 800 832 874 920 950 988 1000 1024 1040 1058 1150 1196 1216 1235 1280 1300 1444 1472 1495 1520 1600 1625 1664 1748 1805 1840 1900 1976 2000 2048 2080 2116 2185 2300 2375 2392 2432 2470 2560 2600 2645 2875 2888 2944 2990 3040 3200 3250 3328 3496 3610 3680 3800 3952 4000 4096 4160 4232 4370 4600 4693 4750 4784 4864 4940 5120 5200 5290 5681 5750 5776 5888 5980 6080 6175 6400 6500 6656 6859 6877 6992 7220 7360 7475 7600 7904 8000 8303 8320 8464 8740 9025 9200 9386 9500 9568 9728 9880 10051 10240 10400 10580 10925 11362 11500 11552 11776 11960 12160 12167 12350 12800 13000 13225 13312 13718 13754 13984 14440 14720 14950 15200 15808 16000 16606 16640 16928 17480 18050 18400 18772 19000 19136 19456 19760 20102 20480 20800 21160 21850 22724 23000 23104 23465 23552 23920 24320 24334 24700 25600 26000 26450 26624 27436 27508 27968 28405 28880 29440 29900 30400 30875 31616 32000 33212 33280 33856 34295 34385 34960 36100 36800 37375 37544 38000 38272 38912 39520 40204 41515 41600 42320 43700 45125 45448 46000 46208 46930 47104 47840 48640 48668 49400 50255 51200 52000 52900 53248 54625 54872 55016 55936 56810 57760 58880 59800 60800 60835 61750 63232 64000 66125 66424 66560 67712 68590 68770 69920 72200 73600 74750 75088 76000 76544 77824 79040 80408 83030 83200 84640 87400 89167 90250 90896 92000 92416 93860 94208 95680 97280 97336 98800 100510 102400 104000 105800 107939 109250 109744 110032 111872 113620 115520 117325 117760 119600 121600 121670 123500 126464 128000 130321 130663 132250 132848 133120 135424 137180 137540 139840 142025 144400 147200 149500 150176 152000 153088 157757 158080 158171 160816 166060 166400 169280 171475 171925 174800 178334 180500 181792 184000 184832 187720 190969 191360 194560 194672 197600 201020 207575 208000 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127757222128640 131923218502400 134481286451200 138866545792000 145876635844000 149377675104256 151711701277760 159696527660800 162367038156800 164904023128000 168101608064000 186722093880320 189639626597200 196549572505600 199620659576000 202958797696000 211077149603840 229431684352000 233402617350400 237049533246500 242738722044416 245686965632000 255514444257280 263846437004800 277733091584000 291753271688000 303423402555520 319393055321600 329808046256000 336203216128000 373444187760640 379279253194400 399241319152000 405917595392000 422154299207680 458863368704000 466805234700800 474099066493000 485477444088832 491373931264000 511028888514560 527692874009600 555466183168000 583506543376000 606846805111040 638786110643200 659616092512000 672406432256000 746888375521280 758558506388800 798482638304000 811835190784000 933610469401600 948198132986000 970954888177664 982747862528000 1055385748019200 1167013086752000 1213693610222080 1277572221286400 1319232185024000 1517117012777600 1596965276608000 1867220938803200 1896396265972000 1941909776355328 2110771496038400 2334026173504000 2427387220444160 2555144442572800 2638464370048000 3034234025555200 3193930553216000 3734441877606400 3792792531944000 4668052347008000 4854774440888320 5276928740096000 6068468051110400 6387861106432000 7585585063888000 9336104694016000 9709548881776640 10553857480192000 12136936102220800 12775722212864000 15171170127776000 18672209388032000 24273872204441600 30342340255552000 48547744408883200 60684680511104000 121369361022208000 242738722044416000
- Sum of all divisors σ(n): 719948309062624824
- Sum of proper divisors (its aliquot sum) s(n): 477209587018208824
- 242738722044416000 is an abundant number, because the sum of its proper divisors (477209587018208824) is greater than itself. Its abundance is 234470864973792824
Bases of 242738722044416000
- Binary: 11010111100110000110010100111001001011000010010000000000002
- Hexadecimal: 0x35E6194E4B09000
- Base-36: 1UE3P1GH61VK
Squares and roots of 242738722044416000
- 242738722044416000 squared (2427387220444160002) is 58922087179756250154676781056000000
- 242738722044416000 cubed (2427387220444160003) is 14302672142203699858234597763477374339383296000000000
-
The
square root of 242738722044416000 is 492685215.9791442331 -
The
cube root of 242738722044416000 is 623801.4123675611
Scales and comparisons
How big is 242738722044416000?- 242,738,722,044,416,000 seconds is equal to 7,718,340,520 years, 44 weeks, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 242,738,722,044,416,000 would take you about twenty-three billion, one hundred fifty-five million, twenty-one thousand, five hundred sixty-two 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 242738722044416000 cubic inches would be around 51983.5 feet tall.
Recreational maths with 242738722044416000
- 242738722044416000 backwards is 000614440227837242
- The number of decimal digits it has is: 18
- The sum of 242738722044416000's digits is 56
- More coming soon!
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MLA style:
"Number 242738722044416000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 242738722044416000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/242738722044416000/
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Numbermatics. 2024. "Number 242738722044416000 - Facts about the integer". https://numbermatics.com/n/242738722044416000/
The information we have on file for 242738722044416000 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!
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