12820742995968000
12,820,742,995,968,000 is an even composite number composed of six prime numbers multiplied together.
12820742995968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, eight hundred divisors.
Prime factorization of 12820742995968000:
219 × 34 × 53 × 172 × 61 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 61 × 137)See below for interesting mathematical facts about the number 12820742995968000 from the Numbermatics database.
Names of 12820742995968000
- Cardinal: 12820742995968000 can be written as Twelve quadrillion, eight hundred twenty trillion, seven hundred forty-two billion, nine hundred ninety-five million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.2820742995968 × 1016
Factors of 12820742995968000
Divisors of 12820742995968000
- Number of divisors d(n): 4800
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 61 64 68 72 75 80 81 85 90 96 100 102 108 120 122 125 128 135 136 137 144 150 153 160 162 170 180 183 192 200 204 216 225 240 244 250 255 256 270 272 274 288 289 300 305 306 320 324 340 360 366 375 384 400 405 408 411 425 432 450 459 480 488 500 510 512 540 544 548 549 576 578 600 610 612 640 648 675 680 685 720 732 750 765 768 800 810 816 822 850 864 867 900 915 918 960 976 1000 1020 1024 1037 1080 1088 1096 1098 1125 1152 1156 1200 1220 1224 1233 1275 1280 1296 1350 1360 1370 1377 1440 1445 1464 1500 1525 1530 1536 1600 1620 1632 1644 1647 1700 1728 1734 1800 1830 1836 1920 1952 2000 2025 2040 2048 2055 2074 2125 2160 2176 2192 2196 2250 2295 2304 2312 2329 2400 2440 2448 2466 2550 2560 2592 2601 2700 2720 2740 2745 2754 2880 2890 2928 3000 3050 3060 3072 3111 3200 3240 3264 3288 3294 3375 3400 3425 3456 3468 3600 3660 3672 3699 3825 3840 3904 4000 4050 4080 4096 4110 4148 4250 4320 4335 4352 4384 4392 4500 4575 4590 4608 4624 4658 4800 4880 4896 4932 4941 5100 5120 5184 5185 5202 5400 5440 5480 5490 5508 5760 5780 5856 6000 6100 6120 6144 6165 6222 6375 6400 6480 6528 6576 6588 6750 6800 6850 6885 6912 6936 6987 7200 7225 7320 7344 7398 7625 7650 7680 7803 7808 8000 8100 8160 8192 8220 8235 8296 8357 8500 8640 8670 8704 8768 8784 9000 9150 9180 9216 9248 9316 9333 9600 9760 9792 9864 9882 10125 10200 10240 10275 10368 10370 10404 10800 10880 10960 10980 11016 11097 11475 11520 11560 11645 11712 12000 12200 12240 12288 12330 12444 12750 12800 12960 13005 13056 13152 13176 13500 13600 13700 13725 13770 13824 13872 13974 14400 14450 14640 14688 14796 15250 15300 15360 15555 15606 15616 16000 16200 16320 16384 16440 16470 16592 16714 17000 17125 17280 17340 17408 17536 17568 17629 18000 18300 18360 18432 18495 18496 18632 18666 19125 19200 19520 19584 19728 19764 20250 20400 20480 20550 20736 20740 20808 20961 21600 21675 21760 21920 21960 22032 22194 22875 22950 23040 23120 23290 23409 23424 24000 24400 24480 24576 24660 24705 24888 25071 25500 25600 25920 25925 26010 26112 26304 26352 27000 27200 27400 27450 27540 27648 27744 27948 27999 28800 28900 29280 29376 29592 30500 30600 30720 30825 31110 31212 31232 32000 32400 32640 32768 32880 32940 33184 33428 34000 34250 34425 34560 34680 34816 34935 35072 35136 35258 36000 36125 36600 36720 36864 36990 36992 37264 37332 38250 38400 39015 39040 39168 39456 39528 39593 40500 40800 40960 41100 41175 41472 41480 41616 41785 41922 43200 43350 43520 43840 43920 44064 44388 45750 45900 46080 46240 46580 46665 46818 46848 48000 48800 48960 49152 49320 49410 49776 50142 51000 51200 51375 51840 51850 52020 52224 52608 52704 52887 54000 54400 54800 54900 55080 55296 55485 55488 55896 55998 57375 57600 57800 58225 58560 58752 59184 61000 61200 61440 61650 62220 62424 62464 62883 64000 64800 65025 65280 65536 65760 65880 66368 66856 68000 68500 68625 68850 69120 69360 69632 69870 70144 70272 70516 72000 72250 73200 73440 73728 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13965950976000 14011740979200 14245269995520 14787477504000 14838822912000 15083227054080 15597010944000 15711694848000 15828077772800 16025928744960 16693675776000 16759141171200 17094323994624 17514676224000 17806587494400 18716413132800 18854033817600 18993693327360 19785097216000 20032410931200 20948926464000 21017611468800 21367904993280 22181216256000 22258234368000 23352901632000 23395516416000 23567542272000 23742116659200 25040513664000 25138711756800 25641485991936 26272014336000 26709881241600 27931901952000 28490539991040 29677645824000 30166454108160 31194021888000 31423389696000 31656155545600 32051857489920 33387351552000 34188647989248 35029352448000 35613174988800 37708067635200 39570194432000 40064821862400 41897852928000 42035222937600 42735809986560 44362432512000 44516468736000 46791032832000 47135084544000 47484233318400 50081027328000 50277423513600 51282971983872 52544028672000 53419762483200 56981079982080 59355291648000 62846779392000 64103714979840 66774703104000 70058704896000 71226349977600 75416135270400 79140388864000 80129643724800 83795705856000 85471619973120 89032937472000 93582065664000 94270169088000 94968466636800 100162054656000 102565943967744 105088057344000 106839524966400 118710583296000 125693558784000 128207429959680 133549406208000 142452699955200 150832270540800 158280777728000 160259287449600 170943239946240 178065874944000 188540338176000 200324109312000 210176114688000 213679049932800 237421166592000 251387117568000 256414859919360 267098812416000 284905399910400 320518574899200 356131749888000 377080676352000 400648218624000 427358099865600 474842333184000 512829719838720 534197624832000 641037149798400 712263499776000 754161352704000 801296437248000 854716199731200 1068395249664000 1282074299596800 1424526999552000 1602592874496000 2136790499328000 2564148599193600 3205185748992000 4273580998656000 6410371497984000 12820742995968000
- Sum of all divisors σ(n): 51989856552176400
- Sum of proper divisors (its aliquot sum) s(n): 39169113556208400
- 12820742995968000 is an abundant number, because the sum of its proper divisors (39169113556208400) is greater than itself. Its abundance is 26348370560240400
Bases of 12820742995968000
- Binary: 1011011000110001100101110110000000100000000000000000002
- Hexadecimal: 0x2D8C65D8080000
- Base-36: 3I8KO0U0W00
Squares and roots of 12820742995968000
- 12820742995968000 squared (128207429959680002) is 164371450968662528464257024000000
- 12820742995968000 cubed (128207429959680003) is 2107364128743577640864776675880947679232000000000
-
The
square root of 12820742995968000 is 113228719.8371861839 -
The
cube root of 12820742995968000 is 234047.7110445495
Scales and comparisons
How big is 12820742995968000?- 12,820,742,995,968,000 seconds is equal to 407,659,970 years, 5 weeks, 5 days.
-
To count from 1 to 12,820,742,995,968,000 would take you about one billion, two hundred twenty-two million, nine hundred seventy-nine thousand, nine hundred ten 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 12820742995968000 cubic inches would be around 19504 feet tall.
Recreational maths with 12820742995968000
- 12820742995968000 backwards is 00086959924702821
- 12820742995968000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12820742995968000's digits is 72
- More coming soon!
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Cite this page
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"Number 12820742995968000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 12820742995968000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/12820742995968000/
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The information we have on file for 12820742995968000 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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