12820335367680000
12,820,335,367,680,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 12820335367680000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3120 divisors.
12820335367680000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, one hundred twenty divisors.
Prime factorization of 12820335367680000:
212 × 37 × 54 × 29 × 2812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 29 × 281 × 281)See below for interesting mathematical facts about the number 12820335367680000 from the Numbermatics database.
Names of 12820335367680000
- Cardinal: 12820335367680000 can be written as Twelve quadrillion, eight hundred twenty trillion, three hundred thirty-five billion, three hundred sixty-seven million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.282033536768 × 1016
Factors of 12820335367680000
Divisors of 12820335367680000
- Number of divisors d(n): 3120
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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 96 100 108 116 120 125 128 135 144 145 150 160 162 174 180 192 200 216 225 232 240 243 250 256 261 270 281 288 290 300 320 324 348 360 375 384 400 405 432 435 450 464 480 486 500 512 522 540 562 576 580 600 625 640 648 675 696 720 725 729 750 768 783 800 810 843 864 870 900 928 960 972 1000 1024 1044 1080 1124 1125 1152 1160 1200 1215 1250 1280 1296 1305 1350 1392 1405 1440 1450 1458 1500 1536 1566 1600 1620 1686 1728 1740 1800 1856 1875 1920 1944 2000 2025 2048 2088 2160 2175 2187 2248 2250 2304 2320 2349 2400 2430 2500 2529 2560 2592 2610 2700 2784 2810 2880 2900 2916 3000 3072 3132 3200 3240 3372 3375 3456 3480 3600 3625 3645 3712 3750 3840 3888 3915 4000 4050 4096 4176 4215 4320 4350 4374 4496 4500 4608 4640 4698 4800 4860 5000 5058 5120 5184 5220 5400 5568 5620 5625 5760 5800 5832 6000 6075 6144 6264 6400 6480 6525 6744 6750 6912 6960 7025 7047 7200 7250 7290 7424 7500 7587 7680 7776 7830 8000 8100 8149 8352 8430 8640 8700 8748 8992 9000 9216 9280 9396 9600 9720 10000 10116 10125 10240 10368 10440 10800 10875 10935 11136 11240 11250 11520 11600 11664 11745 12000 12150 12288 12528 12645 12800 12960 13050 13488 13500 13824 13920 14050 14094 14400 14500 14580 14848 15000 15174 15360 15552 15660 16000 16200 16298 16704 16860 16875 17280 17400 17496 17984 18000 18125 18225 18432 18560 18792 19200 19440 19575 20000 20232 20250 20480 20736 20880 21075 21141 21600 21750 21870 22272 22480 22500 22761 23040 23200 23328 23490 24000 24300 24447 25056 25290 25600 25920 26100 26976 27000 27648 27840 28100 28188 28800 29000 29160 29696 30000 30348 30375 30720 31104 31320 32000 32400 32596 32625 33408 33720 33750 34560 34800 34992 35125 35235 35968 36000 36250 36450 36864 37120 37584 37935 38400 38880 39150 40000 40464 40500 40745 41472 41760 42150 42282 43200 43500 43740 44544 44960 45000 45522 46080 46400 46656 46980 48000 48600 48894 50112 50580 50625 51200 51840 52200 53952 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53418064032000 55260066240000 56979268300800 59353404480000 64101676838400 66772580040000 71224085376000 73680088320000 79137872640000 80127096048000 85468902451200 88416105984000 89030106720000 94965447168000 100158870060000 102562682941440 106836128064000 110520132480000 118706808960000 128203353676800 133545160080000 142448170752000 147360176640000 158275745280000 160254192096000 170937804902400 178060213440000 200317740120000 213672256128000 221040264960000 237413617920000 256406707353600 267090320160000 284896341504000 320508384192000 356120426880000 400635480240000 427344512256000 442080529920000 474827235840000 512813414707200 534180640320000 641016768384000 712240853760000 801270960480000 854689024512000 1068361280640000 1282033536768000 1424481707520000 1602541920960000 2136722561280000 2564067073536000 3205083841920000 4273445122560000 6410167683840000 12820335367680000
- Sum of all divisors σ(n): 49882012520815200
- Sum of proper divisors (its aliquot sum) s(n): 37061677153135200
- 12820335367680000 is an abundant number, because the sum of its proper divisors (37061677153135200) is greater than itself. Its abundance is 24241341785455200
Bases of 12820335367680000
- Binary: 1011011000110000000110111011110111110111110000000000002
- Hexadecimal: 0x2D8C06EF7DF000
- Base-36: 3I8FGREO000
Squares and roots of 12820335367680000
- 12820335367680000 squared (128203353676800002) is 164360998939786680788582400000000
- 12820335367680000 cubed (128203353676800003) is 2107163127774962166428457335449976832000000000000
-
The
square root of 12820335367680000 is 113226919.8012557437 -
The
cube root of 12820335367680000 is 234045.2305466325
Scales and comparisons
How big is 12820335367680000?- 12,820,335,367,680,000 seconds is equal to 407,647,008 years, 41 weeks, 1 day.
-
To count from 1 to 12,820,335,367,680,000 would take you about one billion, two hundred twenty-two million, nine hundred forty-one thousand and twenty-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 12820335367680000 cubic inches would be around 19503.8 feet tall.
Recreational maths with 12820335367680000
- 12820335367680000 backwards is 00008676353302821
- 12820335367680000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12820335367680000's digits is 54
- More coming soon!
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"Number 12820335367680000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 12820335367680000 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/12820335367680000/
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Numbermatics. 2024. "Number 12820335367680000 - Facts about the integer". https://numbermatics.com/n/12820335367680000/
The information we have on file for 12820335367680000 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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