242310117168000
242,310,117,168,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 242310117168000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5184 divisors.
242310117168000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, one hundred eighty-four divisors.
Prime factorization of 242310117168000:
27 × 38 × 53 × 72 × 172 × 163
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 17 × 17 × 163)See below for interesting mathematical facts about the number 242310117168000 from the Numbermatics database.
Names of 242310117168000
- Cardinal: 242310117168000 can be written as Two hundred forty-two trillion, three hundred ten billion, one hundred seventeen million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 2.42310117168 × 1014
Factors of 242310117168000
Divisors of 242310117168000
- Number of divisors d(n): 5184
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 40 42 45 48 49 50 51 54 56 60 63 64 68 70 72 75 80 81 84 85 90 96 98 100 102 105 108 112 119 120 125 126 128 135 136 140 144 147 150 153 160 162 163 168 170 175 180 189 192 196 200 204 210 216 224 225 238 240 243 245 250 252 255 270 272 280 288 289 294 300 306 315 320 324 326 336 340 350 357 360 375 378 384 392 400 405 408 420 425 432 441 448 450 459 476 480 486 489 490 500 504 510 525 540 544 560 567 576 578 588 595 600 612 630 640 648 652 672 675 680 700 714 720 729 735 750 756 765 784 800 810 815 816 833 840 850 864 867 875 882 896 900 918 945 952 960 972 978 980 1000 1008 1020 1050 1071 1080 1088 1120 1125 1134 1141 1152 1156 1176 1190 1200 1215 1224 1225 1260 1275 1296 1304 1323 1344 1350 1360 1377 1400 1428 1440 1445 1458 1467 1470 1500 1512 1530 1568 1575 1600 1620 1630 1632 1666 1680 1700 1701 1728 1734 1750 1764 1785 1800 1836 1890 1904 1920 1944 1956 1960 2000 2016 2023 2025 2040 2100 2125 2142 2160 2176 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1236276108000 1262031860250 1282064112000 1346167317600 1384629240960 1425353630400 1442322126000 1486565136000 1495741464000 1514438232300 1583726256000 1615400781120 1648368144000 1682709147000 1730786551200 1781692038000 1794889756800 1893047790375 1923096168000 1938480937344 2019250976400 2036219472000 2163483189000 2243612196000 2307715401600 2375589384000 2423101171680 2472552216000 2524063720500 2692334635200 2850707260800 2884644252000 2991482928000 3028876464600 3230801562240 3365418294000 3461573102400 3563384076000 3786095580750 3846192336000 4038501952800 4326966378000 4487224392000 4751178768000 4846202343360 4945104432000 5048127441000 5384669270400 5769288504000 6057752929200 6730836588000 6923146204800 7126768152000 7572191161500 8077003905600 8653932756000 8974448784000 9692404686720 10096254882000 11538577008000 12115505858400 13461673176000 14253536304000 15144382323000 16154007811200 17307865512000 20192509764000 24231011716800 26923346352000 30288764646000 34615731024000 40385019528000 48462023433600 60577529292000 80770039056000 121155058584000 242310117168000
- Sum of all divisors σ(n): 1123468990703280
- Sum of proper divisors (its aliquot sum) s(n): 881158873535280
- 242310117168000 is an abundant number, because the sum of its proper divisors (881158873535280) is greater than itself. Its abundance is 638848756367280
Bases of 242310117168000
- Binary: 1101110001100001001110000111010110010011100000002
- Hexadecimal: 0xDC6138759380
- Base-36: 2DW3QBI000
Squares and roots of 242310117168000
- 242310117168000 squared (2423101171680002) is 58714192881969888340224000000
- 242310117168000 cubed (2423101171680003) is 14227042956654675238367554487365632000000000
-
The
square root of 242310117168000 is 15566313.5381502579 -
The
cube root of 242310117168000 is 62343.4046389733
Scales and comparisons
How big is 242310117168000?- 242,310,117,168,000 seconds is equal to 7,704,712 years, 11 weeks.
-
To count from 1 to 242,310,117,168,000 would take you about nineteen million, two hundred sixty-one thousand, seven hundred eighty 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 242310117168000 cubic inches would be around 5195.3 feet tall.
Recreational maths with 242310117168000
- 242310117168000 backwards is 000861711013242
- 242310117168000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242310117168000's digits is 36
- More coming soon!
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Cite this page
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"Number 242310117168000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 242310117168000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/242310117168000/
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The information we have on file for 242310117168000 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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