18140975374118688
18,140,975,374,118,688 is an even composite number composed of five prime numbers multiplied together.
What does the number 18140975374118688 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
18140975374118688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 18140975374118688:
25 × 32 × 73 × 13 × 14126373139
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 13 × 14126373139)See below for interesting mathematical facts about the number 18140975374118688 from the Numbermatics database.
Names of 18140975374118688
- Cardinal: 18140975374118688 can be written as Eighteen quadrillion, one hundred forty trillion, nine hundred seventy-five billion, three hundred seventy-four million, one hundred eighteen thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.8140975374118688 × 1016
Factors of 18140975374118688
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 14126373164
Divisors of 18140975374118688
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 63 72 78 84 91 96 98 104 112 117 126 144 147 156 168 182 196 208 224 234 252 273 288 294 312 336 343 364 392 416 441 468 504 546 588 624 637 672 686 728 784 819 882 936 1008 1029 1092 1176 1248 1274 1372 1456 1568 1638 1764 1872 1911 2016 2058 2184 2352 2548 2744 2912 3087 3276 3528 3744 3822 4116 4368 4459 4704 5096 5488 5733 6174 6552 7056 7644 8232 8736 8918 10192 10976 11466 12348 13104 13377 14112 15288 16464 17836 20384 22932 24696 26208 26754 30576 32928 35672 40131 45864 49392 53508 61152 71344 80262 91728 98784 107016 142688 160524 183456 214032 321048 428064 642096 1284192 14126373139 28252746278 42379119417 56505492556 84758238834 98884611973 113010985112 127137358251 169516477668 183642850807 197769223946 226021970224 254274716502 296653835919 339032955336 367285701614 395538447892 452043940448 508549433004 550928552421 593307671838 678065910672 692192283811 734571403228 791076895784 889961507757 1017098866008 1101857104842 1186615343676 1285499955649 1356131821344 1384384567622 1469142806456 1582153791568 1652785657263 1779923015514 2034197732016 2076576851433 2203714209684 2373230687352 2570999911298 2768769135244 2938285612912 3164307583136 3305571314526 3559846031028 3856499866947 4068395464032 4153153702866 4407428419368 4746461374704 4845345986677 5141999822596 5537538270488 5876571225824 6229730554299 6611142629052 7119692062056 7712999733894 8306307405732 8814856838736 8998499689543 9492922749408 9690691973354 10283999645192 11075076540976 11569499600841 12459461108598 13222285258104 14239384124112 14536037960031 15425999467788 16612614811464 17629713677472 17996999379086 19381383946708 20567999290384 22150153081952 23138999201682 24918922217196 26444570516208 26995499068629 28478768248224 29072075920062 30851998935576 33225229622928 35993998758172 38762767893416 41135998580768 43608113880093 46277998403364 49837844434392 52889141032416 53990998137258 58144151840124 61703997871152 62989497826801 66450459245856 71987997516344 77525535786832 80986497205887 87216227760186 92555996806728 99675688868784 107981996274516 116288303680248 123407995742304 125978995653602 143975995032688 155051071573664 161972994411774 174432455520372 185111993613456 188968493480403 199351377737568 215963992549032 232576607360496 251957991307204 287951990065376 323945988823548 348864911040744 370223987226912 377936986960806 431927985098064 465153214720992 503915982614408 566905480441209 647891977647096 697729822081488 755873973921612 863855970196128 1007831965228816 1133810960882418 1295783955294192 1395459644162976 1511747947843224 2015663930457632 2267621921764836 2591567910588384 3023495895686448 4535243843529672 6046991791372896 9070487687059344 18140975374118688
- Sum of all divisors σ(n): 64789197769296000
- Sum of proper divisors (its aliquot sum) s(n): 46648222395177312
- 18140975374118688 is an abundant number, because the sum of its proper divisors (46648222395177312) is greater than itself. Its abundance is 28507247021058624
Bases of 18140975374118688
- Binary: 10000000111001100011110111110010000110110101111001000002
- Hexadecimal: 0x40731EF90DAF20
- Base-36: 4YMFT1BN9K0
Squares and roots of 18140975374118688
- 18140975374118688 squared (181409753741186882) is 329094987524380672046392710841344
- 18140975374118688 cubed (181409753741186883) is 5970104064425686622074474046109766583126993436672
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The
square root of 18140975374118688 is 134688438.1605143123 -
The
cube root of 18140975374118688 is 262756.5461632577
Scales and comparisons
How big is 18140975374118688?- 18,140,975,374,118,688 seconds is equal to 576,826,903 years, 9 weeks, 1 day, 4 minutes, 48 seconds.
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To count from 1 to 18,140,975,374,118,688 would take you about one billion, seven hundred thirty million, four hundred eighty thousand, seven hundred nine 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 18140975374118688 cubic inches would be around 21896.4 feet tall.
Recreational maths with 18140975374118688
- 18140975374118688 backwards is 88681147357904181
- The number of decimal digits it has is: 17
- The sum of 18140975374118688's digits is 81
- More coming soon!
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