12768513408000
12,768,513,408,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12768513408000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3520 divisors.
12768513408000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, five hundred twenty divisors.
Prime factorization of 12768513408000:
210 × 34 × 53 × 7 × 17 × 79 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 17 × 79 × 131)See below for interesting mathematical facts about the number 12768513408000 from the Numbermatics database.
Names of 12768513408000
- Cardinal: 12768513408000 can be written as Twelve trillion, seven hundred sixty-eight billion, five hundred thirteen million, four hundred eight thousand.
Scientific notation
- Scientific notation: 1.2768513408 × 1013
Factors of 12768513408000
Divisors of 12768513408000
- Number of divisors d(n): 3520
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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 50 51 54 56 60 63 64 68 70 72 75 79 80 81 84 85 90 96 100 102 105 108 112 119 120 125 126 128 131 135 136 140 144 150 153 158 160 162 168 170 175 180 189 192 200 204 210 216 224 225 237 238 240 250 252 255 256 262 270 272 280 288 300 306 315 316 320 324 336 340 350 357 360 375 378 384 393 395 400 405 408 420 425 432 448 450 459 474 476 480 500 504 510 512 524 525 540 544 553 560 567 576 595 600 612 630 632 640 648 655 672 675 680 700 711 714 720 750 756 765 768 786 790 800 810 816 840 850 864 875 896 900 917 918 945 948 952 960 1000 1008 1020 1024 1048 1050 1071 1080 1088 1106 1120 1125 1134 1152 1179 1185 1190 1200 1224 1260 1264 1275 1280 1296 1310 1343 1344 1350 1360 1377 1400 1422 1428 1440 1500 1512 1530 1536 1572 1575 1580 1600 1620 1632 1659 1680 1700 1728 1750 1785 1792 1800 1834 1836 1890 1896 1904 1920 1965 1975 2000 2016 2025 2040 2096 2100 2125 2133 2142 2160 2176 2212 2227 2240 2250 2268 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32325350400 32489856000 33251337000 33779136000 34049369088 35468092800 35766144000 36481466880 37554451200 38001528000 39408992000 39901604400 40406688000 40534963200 41727168000 42561711360 44335116000 45601833600 46943064000 47290790400 48734784000 49877005500 50072601600 50668704000 51074053632 53202139200 53649216000 53875584000 56748948480 57002292000 59113488000 60802444800 62590752000 63842567040 66502674000 67558272000 70936185600 72962933760 75108902400 76003056000 78817984000 79803208800 80813376000 83454336000 85123422720 88670232000 91203667200 93886128000 94581580800 97469568000 99754011000 101337408000 102148107264 106404278400 107298432000 114004584000 118226976000 121604889600 125181504000 127685134080 133005348000 141872371200 150217804800 152006112000 157635968000 159606417600 161626752000 170246845440 177340464000 182407334400 187772256000 199508022000 202674816000 212808556800 228009168000 236453952000 250363008000 255370268160 266010696000 283744742400 304012224000 319212835200 354680928000 364814668800 375544512000 399016044000 425617113600 456018336000 472907904000 510740536320 532021392000 608024448000 638425670400 709361856000 751089024000 798032088000 851234227200 912036672000 1064042784000 1276851340800 1418723712000 1596064176000 1824073344000 2128085568000 2553702681600 3192128352000 4256171136000 6384256704000 12768513408000
- Sum of all divisors σ(n): 58756270510080
- Sum of proper divisors (its aliquot sum) s(n): 45987757102080
- 12768513408000 is an abundant number, because the sum of its proper divisors (45987757102080) is greater than itself. Its abundance is 33219243694080
Bases of 12768513408000
- Binary: 101110011100111001101011010010111100000000002
- Hexadecimal: 0xB9CE6B4BC00
- Base-36: 4IXRV7K00
Squares and roots of 12768513408000
- 12768513408000 squared (127685134080002) is 163034934650275774464000000
- 12768513408000 cubed (127685134080003) is 2081713749054450017141168013312000000000
-
The
square root of 12768513408000 is 3573305.6695446585 -
The
cube root of 12768513408000 is 23372.9454580539
Scales and comparisons
How big is 12768513408000?- 12,768,513,408,000 seconds is equal to 405,999 years, 12 weeks.
-
To count from 1 to 12,768,513,408,000 would take you about one million, fourteen thousand, nine hundred ninety-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 12768513408000 cubic inches would be around 1947.7 feet tall.
Recreational maths with 12768513408000
- 12768513408000 backwards is 00080431586721
- 12768513408000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12768513408000's digits is 45
- More coming soon!
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"Number 12768513408000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 12768513408000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/12768513408000/
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The information we have on file for 12768513408000 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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