13431324614400000
13,431,324,614,400,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13431324614400000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 10080 divisors.
13431324614400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ten thousand and eighty divisors.
Prime factorization of 13431324614400000:
211 × 36 × 55 × 74 × 11 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 109)See below for interesting mathematical facts about the number 13431324614400000 from the Numbermatics database.
Names of 13431324614400000
- Cardinal: 13431324614400000 can be written as Thirteen quadrillion, four hundred thirty-one trillion, three hundred twenty-four billion, six hundred fourteen million, four hundred thousand.
Scientific notation
- Scientific notation: 1.34313246144 × 1016
Factors of 13431324614400000
Divisors of 13431324614400000
- Number of divisors d(n): 10080
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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 99 100 105 108 109 110 112 120 125 126 128 132 135 140 144 147 150 154 160 162 165 168 175 176 180 189 192 196 198 200 210 216 218 220 224 225 231 240 243 245 250 252 256 264 270 275 280 288 294 297 300 308 315 320 324 327 330 336 343 350 352 360 375 378 384 385 392 396 400 405 420 432 436 440 441 448 450 462 480 486 490 495 500 504 512 525 528 539 540 545 550 560 567 576 588 594 600 616 625 630 640 648 654 660 672 675 686 693 700 704 720 729 735 750 756 763 768 770 784 792 800 810 825 840 864 872 875 880 882 891 896 900 924 945 960 972 980 981 990 1000 1008 1024 1029 1050 1056 1078 1080 1090 1100 1120 1125 1134 1152 1155 1176 1188 1199 1200 1215 1225 1232 1250 1260 1280 1296 1308 1320 1323 1344 1350 1372 1375 1386 1400 1408 1440 1458 1470 1485 1500 1512 1526 1536 1540 1568 1575 1584 1600 1617 1620 1635 1650 1680 1701 1715 1728 1744 1750 1760 1764 1782 1792 1800 1848 1875 1890 1920 1925 1944 1960 1962 1980 2000 2016 2025 2048 2058 2079 2100 2112 2156 2160 2180 2200 2205 2240 2250 2268 2289 2304 2310 2352 2376 2398 2400 2401 2430 2450 2464 2475 2500 2520 2560 2592 2616 2625 2640 2646 2673 2688 2695 2700 2725 2744 2750 2772 2800 2816 2835 2880 2916 2940 2943 2970 3000 3024 3052 3072 3080 3087 3125 3136 3150 3168 3200 3234 3240 3270 3300 3360 3375 3402 3430 3456 3465 3488 3500 3520 3528 3564 3584 3597 3600 3645 3675 3696 3750 3773 3780 3815 3840 3850 3888 3920 3924 3960 3969 4000 4032 4050 4116 4125 4158 4200 4224 4312 4320 4360 4375 4400 4410 4455 4480 4500 4536 4578 4608 4620 4704 4725 4752 4796 4800 4802 4851 4860 4900 4905 4928 4950 5000 5040 5103 5120 5145 5184 5232 5250 5280 5292 5341 5346 5376 5390 5400 5450 5488 5500 5544 5600 5625 5632 5670 5760 5775 5832 5880 5886 5940 5995 6000 6048 6075 6104 6125 6144 6160 6174 6237 6250 6272 6300 6336 6400 6468 6480 6540 6600 6615 6720 6750 6804 6860 6867 6875 6912 6930 6976 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305257377600000 319793443200000 335783115360000 373092350400000 383752131840000 407009836800000 419728894200000 447710820480000 479690164800000 497456467200000 537252984576000 559638525600000 610514755200000 639586886400000 671566230720000 746184700800000 839457788400000 895421640960000 959380329600000 1119277051200000 1221029510400000 1343132461440000 1492369401600000 1678915576800000 1918760659200000 2238554102400000 2686264922880000 3357831153600000 4477108204800000 6715662307200000 13431324614400000
- Sum of all divisors σ(n): 64638809188153200
- Sum of proper divisors (its aliquot sum) s(n): 51207484573753200
- 13431324614400000 is an abundant number, because the sum of its proper divisors (51207484573753200) is greater than itself. Its abundance is 37776159959353200
Bases of 13431324614400000
- Binary: 1011111011011110110111111101001000000100011000000000002
- Hexadecimal: 0x2FB7B7F4811800
- Base-36: 3O909CGW000
Squares and roots of 13431324614400000
- 13431324614400000 squared (134313246144000002) is 180400480897387308687360000000000
- 13431324614400000 cubed (134313246144000003) is 2423017419526675159822709322153984000000000000000
-
The
square root of 13431324614400000 is 115893591.7745239269 -
The
cube root of 13431324614400000 is 237705.7105371427
Scales and comparisons
How big is 13431324614400000?- 13,431,324,614,400,000 seconds is equal to 427,074,576 years, 48 weeks.
-
To count from 1 to 13,431,324,614,400,000 would take you about one billion, two hundred eighty-one million, two hundred twenty-three thousand, seven hundred thirty 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 13431324614400000 cubic inches would be around 19808.8 feet tall.
Recreational maths with 13431324614400000
- 13431324614400000 backwards is 00000441642313431
- 13431324614400000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13431324614400000's digits is 36
- More coming soon!
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"Number 13431324614400000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 13431324614400000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/13431324614400000/
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The information we have on file for 13431324614400000 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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