13814406144000
13,814,406,144,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13814406144000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4032 divisors.
13814406144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 13814406144000:
213 × 35 × 53 × 72 × 11 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 11 × 103)See below for interesting mathematical facts about the number 13814406144000 from the Numbermatics database.
Names of 13814406144000
- Cardinal: 13814406144000 can be written as Thirteen trillion, eight hundred fourteen billion, four hundred six million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.3814406144 × 1013
Factors of 13814406144000
Divisors of 13814406144000
- Number of divisors d(n): 4032
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 32 33 35 36 40 42 44 45 48 49 50 54 55 56 60 63 64 66 70 72 75 77 80 81 84 88 90 96 98 99 100 103 105 108 110 112 120 125 126 128 132 135 140 144 147 150 154 160 162 165 168 175 176 180 189 192 196 198 200 206 210 216 220 224 225 231 240 243 245 250 252 256 264 270 275 280 288 294 297 300 308 309 315 320 324 330 336 350 352 360 375 378 384 385 392 396 400 405 412 420 432 440 441 448 450 462 480 486 490 495 500 504 512 515 525 528 539 540 550 560 567 576 588 594 600 616 618 630 640 648 660 672 675 693 700 704 720 721 735 750 756 768 770 784 792 800 810 824 825 840 864 875 880 882 891 896 900 924 927 945 960 972 980 990 1000 1008 1024 1030 1050 1056 1078 1080 1100 1120 1125 1133 1134 1152 1155 1176 1188 1200 1215 1225 1232 1236 1260 1280 1296 1320 1323 1344 1350 1375 1386 1400 1408 1440 1442 1470 1485 1500 1512 1536 1540 1545 1568 1575 1584 1600 1617 1620 1648 1650 1680 1701 1728 1750 1760 1764 1782 1792 1800 1848 1854 1890 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31977792000 32891443200 33530112000 34109644800 34536015360 34884864000 35240832000 35881574400 35975016000 36546048000 36838416384 38373350400 39245472000 39469731840 41114304000 41861836800 42637056000 43170019200 43855257600 44706816000 44851968000 46048020480 46513152000 46987776000 47966688000 49337164800 50234204160 51164467200 52327296000 53962524000 54819072000 55257624576 56385331200 56849408000 57560025600 59802624000 61397360640 61671456000 62792755200 63955584000 65782886400 67060224000 69072030720 69769728000 70481664000 71950032000 73092096000 76746700800 78490944000 78939463680 82228608000 83723673600 85274112000 86340038400 89703936000 92096040960 93975552000 95933376000 98674329600 102328934400 104654592000 107925048000 109638144000 110515249152 115120051200 123342912000 125585510400 127911168000 131565772800 134120448000 138144061440 139539456000 140963328000 143900064000 153493401600 156981888000 164457216000 170548224000 172680076800 179407872000 184192081920 191866752000 197348659200 209309184000 215850096000 219276288000 230240102400 246685824000 251171020800 255822336000 276288122880 281926656000 287800128000 306986803200 313963776000 328914432000 345360153600 383733504000 394697318400 418618368000 431700192000 460480204800 493371648000 511644672000 552576245760 575600256000 627927552000 657828864000 690720307200 767467008000 863400384000 920960409600 986743296000 1151200512000 1255855104000 1381440614400 1534934016000 1726800768000 1973486592000 2302401024000 2762881228800 3453601536000 4604802048000 6907203072000 13814406144000
- Sum of all divisors σ(n): 66177271060992
- Sum of proper divisors (its aliquot sum) s(n): 52362864916992
- 13814406144000 is an abundant number, because the sum of its proper divisors (52362864916992) is greater than itself. Its abundance is 38548458772992
Bases of 13814406144000
- Binary: 110010010000011010101100010101100000000000002
- Hexadecimal: 0xC906AC56000
- Base-36: 4WA90QO00
Squares and roots of 13814406144000
- 13814406144000 squared (138144061440002) is 190837817111384948736000000
- 13814406144000 cubed (138144061440003) is 2636311113211064568167723433984000000000
-
The
square root of 13814406144000 is 3716773.6202249391 -
The
cube root of 13814406144000 is 23994.4467151419
Scales and comparisons
How big is 13814406144000?- 13,814,406,144,000 seconds is equal to 439,255 years, 20 weeks.
-
To count from 1 to 13,814,406,144,000 would take you about one million, ninety-eight thousand, one hundred thirty-eight 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 13814406144000 cubic inches would be around 1999.5 feet tall.
Recreational maths with 13814406144000
- 13814406144000 backwards is 00044160441831
- 13814406144000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13814406144000's digits is 36
- More coming soon!
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"Number 13814406144000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 13814406144000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/13814406144000/
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The information we have on file for 13814406144000 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 13814406144000, math, Factors of 13814406144000, curriculum, school, college, exams, university, Prime factorization of 13814406144000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, eight hundred fourteen billion, four hundred six million, one hundred forty-four thousand.