13826340838800000
13,826,340,838,800,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13826340838800000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
13826340838800000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13826340838800000:
27 × 32 × 55 × 73 × 31 × 6012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 31 × 601 × 601)See below for interesting mathematical facts about the number 13826340838800000 from the Numbermatics database.
Names of 13826340838800000
- Cardinal: 13826340838800000 can be written as Thirteen quadrillion, eight hundred twenty-six trillion, three hundred forty billion, eight hundred thirty-eight million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.38263408388 × 1016
Factors of 13826340838800000
Divisors of 13826340838800000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 31 32 35 36 40 42 45 48 49 50 56 60 62 63 64 70 72 75 80 84 90 93 96 98 100 105 112 120 124 125 126 128 140 144 147 150 155 160 168 175 180 186 192 196 200 210 217 224 225 240 245 248 250 252 279 280 288 294 300 310 315 320 336 343 350 360 372 375 384 392 400 420 434 441 448 450 465 480 490 496 500 504 525 558 560 576 588 600 601 620 625 630 640 651 672 686 700 720 735 744 750 775 784 800 840 868 875 882 896 900 930 960 980 992 1000 1008 1029 1050 1085 1116 1120 1125 1152 1176 1200 1202 1225 1240 1250 1260 1302 1344 1372 1395 1400 1440 1470 1488 1500 1519 1550 1568 1575 1600 1680 1715 1736 1750 1764 1800 1803 1860 1875 1920 1953 1960 1984 2000 2016 2058 2100 2170 2205 2232 2240 2250 2325 2352 2400 2404 2450 2480 2500 2520 2604 2625 2688 2744 2790 2800 2880 2940 2976 3000 3005 3038 3087 3100 3125 3136 3150 3200 3255 3360 3430 3472 3500 3528 3600 3606 3675 3720 3750 3875 3906 3920 3968 4000 4032 4116 4200 4207 4340 4375 4410 4464 4480 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1728292604850000 1975191548400000 2304390139800000 2765268167760000 3456585209700000 4608780279600000 6913170419400000 13826340838800000
- Sum of all divisors σ(n): 59965009243776000
- Sum of proper divisors (its aliquot sum) s(n): 46138668404976000
- 13826340838800000 is an abundant number, because the sum of its proper divisors (46138668404976000) is greater than itself. Its abundance is 32312327566176000
Bases of 13826340838800000
- Binary: 1100010001111011111011110101100011110101111010100000002
- Hexadecimal: 0x311EFBD63D7A80
- Base-36: 3S511ALVOG0
Squares and roots of 13826340838800000
- 13826340838800000 squared (138263408388000002) is 191167700990668687585440000000000
- 13826340838800000 cubed (138263408388000003) is 2643149791266789692882967636267072000000000000000
-
The
square root of 13826340838800000 is 117585461.8513700443 -
The
cube root of 13826340838800000 is 240013.5457562875
Scales and comparisons
How big is 13826340838800000?- 13,826,340,838,800,000 seconds is equal to 439,634,870 years, 51 weeks, 4 days, 16 hours.
-
To count from 1 to 13,826,340,838,800,000 would take you about one billion, three hundred eighteen million, nine hundred four thousand, six hundred twelve 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 13826340838800000 cubic inches would be around 20001.1 feet tall.
Recreational maths with 13826340838800000
- 13826340838800000 backwards is 00000883804362831
- The number of decimal digits it has is: 17
- The sum of 13826340838800000's digits is 54
- More coming soon!
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"Number 13826340838800000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 13826340838800000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13826340838800000/
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The information we have on file for 13826340838800000 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 13826340838800000, math, Factors of 13826340838800000, curriculum, school, college, exams, university, Prime factorization of 13826340838800000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred twenty-six trillion, three hundred forty billion, eight hundred thirty-eight million, eight hundred thousand.