12642721082507264000
12,642,721,082,507,264,000 is an even composite number composed of five prime numbers multiplied together.
12642721082507264000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 12642721082507264000:
220 × 53 × 72 × 312 × 1273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 31 × 31 × 127 × 127 × 127)See below for interesting mathematical facts about the number 12642721082507264000 from the Numbermatics database.
Names of 12642721082507264000
- Cardinal: 12642721082507264000 can be written as Twelve quintillion, six hundred forty-two quadrillion, seven hundred twenty-one trillion, eighty-two billion, five hundred seven million, two hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.2642721082507264 × 1019
Factors of 12642721082507264000
Divisors of 12642721082507264000
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 56 62 64 70 80 98 100 112 124 125 127 128 140 155 160 175 196 200 217 224 245 248 250 254 256 280 310 320 350 392 400 434 448 490 496 500 508 512 560 620 635 640 700 775 784 800 868 875 889 896 961 980 992 1000 1016 1024 1085 1120 1225 1240 1270 1280 1400 1519 1550 1568 1600 1736 1750 1778 1792 1922 1960 1984 2000 2032 2048 2170 2240 2450 2480 2540 2560 2800 3038 3100 3136 3175 3200 3472 3500 3556 3584 3844 3875 3920 3937 3968 4000 4064 4096 4340 4445 4480 4805 4900 4960 5080 5120 5425 5600 6076 6125 6200 6223 6272 6350 6400 6727 6944 7000 7112 7168 7595 7688 7750 7840 7874 7936 8000 8128 8192 8680 8890 8960 9610 9800 9920 10160 10240 10850 11200 12152 12250 12400 12446 12544 12700 12800 13454 13888 14000 14224 14336 15190 15376 15500 15680 15748 15872 15875 16000 16129 16256 16384 17360 17780 17920 19220 19600 19685 19840 20320 20480 21700 22225 22400 24025 24304 24500 24800 24892 25088 25400 25600 26908 27125 27559 27776 28000 28448 28672 30380 30752 31000 31115 31360 31496 31744 31750 32000 32258 32512 32768 33635 34720 35560 35840 37975 38440 39200 39370 39680 40640 40960 43400 44450 44800 47089 48050 48608 49000 49600 49784 50176 50800 51200 53816 54250 55118 55552 56000 56896 57344 60760 61504 62000 62230 62720 62992 63488 63500 64000 64516 65024 65536 67270 69440 71120 71680 75950 76880 78400 78740 79360 80645 81280 81920 86800 88900 89600 94178 96100 97216 98000 98425 99200 99568 100352 101600 102400 107632 108500 110236 111104 111125 112000 112903 113792 114688 120125 121520 122047 123008 124000 124460 125440 125984 126976 127000 128000 129032 130048 131072 134540 137795 138880 142240 143360 151900 153760 155575 156800 157480 158720 161290 162560 163840 168175 173600 177800 179200 188356 189875 192200 192913 194432 196000 196850 198400 199136 200704 203200 204800 215264 217000 220472 222208 222250 224000 225806 227584 229376 235445 240250 243040 244094 246016 248000 248920 250880 251968 253952 254000 256000 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8062959874048000 8156594246778880 8323055353856000 9030515058933760 9877125845708800 9954898490163200 10195742808473600 10320588638781440 11288143823667200 11652277495398400 12346407307136000 12443623112704000 12642721082507264 12744678510592000 12900735798476800 13155797172224000 14110179779584000 14221283557376000 14448824094294016 14565346869248000 15803401353134080 16125919748096000 16313188493557760 18061030117867520 19754251691417600 19909796980326400 20391485616947200 22576287647334400 24692814614272000 24887246225408000 25285442165014528 25489357021184000 25801471596953600 28220359559168000 29130693738496000 31606802706268160 32251839496192000 36122060235735040 39508503382835200 40782971233894400 45152575294668800 49385629228544000 49774492450816000 50570884330029056 50978714042368000 51602943193907200 56440719118336000 58261387476992000 63213605412536320 64503678992384000 72244120471470080 79017006765670400 81565942467788800 90305150589337600 98771258457088000 99548984901632000 101141768660058112 101957428084736000 112881438236672000 126427210825072640 129007357984768000 158034013531340800 180610301178675200 197542516914176000 203914856169472000 225762876473344000 252854421650145280 258014715969536000 316068027062681600 361220602357350400 395085033828352000 407829712338944000 451525752946688000 505708843300290560 632136054125363200 790170067656704000 903051505893376000 1264272108250726400 1580340135313408000 1806103011786752000 2528544216501452800 3160680270626816000 6321360541253632000 12642721082507264000
- Sum of all divisors σ(n): 38231623566562083840
- Sum of proper divisors (its aliquot sum) s(n): 25588902484054819840
- 12642721082507264000 is an abundant number, because the sum of its proper divisors (25588902484054819840) is greater than itself. Its abundance is 12946181401547555840
Bases of 12642721082507264000
- Binary: 10101111011100111111011111010111001011010011000000000000000000002
- Hexadecimal: 0xAF73F7D72D300000
- Base-36: 2O1XAL94ZRJSW
Squares and roots of 12642721082507264000
- 12642721082507264000 squared (126427210825072640002) is 159838396370073645258136612765696000000
- 12642721082507264000 cubed (126427210825072640003) is 2020792263582082613093902123837158556341050015744000000000
-
The
square root of 12642721082507264000 is 3555660428.4587222095 -
The
cube root of 12642721082507264000 is 2329593.7131980243
Scales and comparisons
How big is 12642721082507264000?- 12,642,721,082,507,264,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,642,721,082,507,264,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 12642721082507264000 cubic inches would be around 194132.8 feet tall.
Recreational maths with 12642721082507264000
- 12642721082507264000 backwards is 00046270528012724621
- The number of decimal digits it has is: 20
- The sum of 12642721082507264000's digits is 59
- More coming soon!
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"Number 12642721082507264000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 12642721082507264000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/12642721082507264000/
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Numbermatics. 2024. "Number 12642721082507264000 - Facts about the integer". https://numbermatics.com/n/12642721082507264000/
The information we have on file for 12642721082507264000 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 12642721082507264000, math, Factors of 12642721082507264000, curriculum, school, college, exams, university, Prime factorization of 12642721082507264000, STEM, science, technology, engineering, physics, economics, calculator, twelve quintillion, six hundred forty-two quadrillion, seven hundred twenty-one trillion, eighty-two billion, five hundred seven million, two hundred sixty-four thousand.