12813892605648000
12,813,892,605,648,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 12813892605648000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
12813892605648000 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 12813892605648000:
27 × 38 × 53 × 29 × 113 × 1932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 29 × 113 × 193 × 193)See below for interesting mathematical facts about the number 12813892605648000 from the Numbermatics database.
Names of 12813892605648000
- Cardinal: 12813892605648000 can be written as Twelve quadrillion, eight hundred thirteen trillion, eight hundred ninety-two billion, six hundred five million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.2813892605648 × 1016
Factors of 12813892605648000
Divisors of 12813892605648000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 64 72 75 80 81 87 90 96 100 108 113 116 120 125 128 135 144 145 150 160 162 174 180 192 193 200 216 225 226 232 240 243 250 261 270 288 290 300 320 324 339 348 360 375 384 386 400 405 432 435 450 452 464 480 486 500 522 540 565 576 579 580 600 640 648 675 678 696 720 725 729 750 772 783 800 810 864 870 900 904 928 960 965 972 1000 1017 1044 1080 1125 1130 1152 1158 1160 1200 1215 1296 1305 1350 1356 1392 1440 1450 1458 1500 1544 1566 1600 1620 1695 1728 1737 1740 1800 1808 1856 1920 1930 1944 2000 2025 2034 2088 2160 2175 2187 2250 2260 2316 2320 2349 2400 2430 2592 2610 2700 2712 2784 2825 2880 2895 2900 2916 3000 3051 3088 3132 3200 3240 3277 3375 3390 3456 3474 3480 3600 3616 3625 3645 3712 3860 3888 3915 4000 4050 4068 4176 4320 4350 4374 4500 4520 4632 4640 4698 4800 4825 4860 5085 5184 5211 5220 5400 5424 5568 5597 5650 5760 5790 5800 5832 6000 6075 6102 6176 6264 6480 6525 6554 6561 6750 6780 6948 6960 7047 7200 7232 7250 7290 7720 7776 7830 8000 8100 8136 8352 8475 8640 8685 8700 8748 9000 9040 9153 9264 9280 9396 9600 9650 9720 9831 10125 10170 10368 10422 10440 10800 10848 10875 10935 11136 11194 11300 11580 11600 11664 11745 12000 12150 12204 12352 12528 12960 13050 13108 13122 13500 13560 13896 13920 14094 14125 14400 14464 14475 14500 14580 15255 15440 15552 15633 15660 16000 16200 16272 16385 16704 16791 16950 17280 17370 17400 17496 18000 18080 18225 18306 18528 18560 18792 19300 19440 19575 19662 20250 20340 20844 20880 21141 21600 21696 21750 21809 21870 22388 22600 23160 23200 23328 23490 24000 24125 24300 24408 24704 25056 25425 25920 26055 26100 26216 26244 27000 27120 27459 27792 27840 27985 28188 28250 28800 28950 29000 29160 29493 30375 30510 30880 31104 31266 31320 32400 32544 32625 32770 32805 33408 33582 33900 34740 34800 34992 35235 36000 36160 36450 36612 37056 37249 37584 38600 38880 39150 39324 40500 40680 41688 41760 42282 42375 43200 43392 43425 43500 43618 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36821530476000 37799093232000 39549051252000 40043414392650 42712975352160 44185836571200 44492682658500 47458861502400 49095373968000 51255570422592 52732068336000 53391219190200 55232295714000 56698639848000 56950633802880 59323576878000 64069463028240 66393225936000 66739023987750 71188292253600 73643060952000 79098102504000 80086828785300 85425950704320 88371673142400 88985365317000 94917723004800 100108535981625 102511140845184 106782438380400 110464591428000 113397279696000 118647153756000 128138926056480 133478047975500 142376584507200 147286121904000 158196205008000 160173657570600 170851901408640 177970730634000 200217071963250 213564876760800 220929182856000 237294307512000 256277852112960 266956095951000 284753169014400 320347315141200 355941461268000 400434143926500 427129753521600 441858365712000 474588615024000 512555704225920 533912191902000 640694630282400 711882922536000 800868287853000 854259507043200 1067824383804000 1281389260564800 1423765845072000 1601736575706000 2135648767608000 2562778521129600 3203473151412000 4271297535216000 6406946302824000 12813892605648000
- Sum of all divisors σ(n): 50130352052398800
- Sum of proper divisors (its aliquot sum) s(n): 37316459446750800
- 12813892605648000 is an abundant number, because the sum of its proper divisors (37316459446750800) is greater than itself. Its abundance is 24502566841102800
Bases of 12813892605648000
- Binary: 1011011000011000101010110111001111001100011100100000002
- Hexadecimal: 0x2D862ADCF31C80
- Base-36: 3I658ZWI000
Squares and roots of 12813892605648000
- 12813892605648000 squared (128138926056480002) is 164195843709080490841499904000000
- 12813892605648000 cubed (128138926056480003) is 2103987907581921179667150005039101857792000000000
-
The
square root of 12813892605648000 is 113198465.5622504451 -
The
cube root of 12813892605648000 is 234006.0180937439
Scales and comparisons
How big is 12813892605648000?- 12,813,892,605,648,000 seconds is equal to 407,442,148 years, 46 weeks, 1 day.
-
To count from 1 to 12,813,892,605,648,000 would take you about one billion, two hundred twenty-two million, three hundred twenty-six thousand, four hundred forty-six 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 12813892605648000 cubic inches would be around 19500.5 feet tall.
Recreational maths with 12813892605648000
- 12813892605648000 backwards is 00084650629831821
- The number of decimal digits it has is: 17
- The sum of 12813892605648000's digits is 63
- More coming soon!
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"Number 12813892605648000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 12813892605648000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/12813892605648000/
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The information we have on file for 12813892605648000 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 12813892605648000, math, Factors of 12813892605648000, curriculum, school, college, exams, university, Prime factorization of 12813892605648000, STEM, science, technology, engineering, physics, economics, calculator, twelve quadrillion, eight hundred thirteen trillion, eight hundred ninety-two billion, six hundred five million, six hundred forty-eight thousand.