13820332681728000
13,820,332,681,728,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13820332681728000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2808 divisors.
13820332681728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eight divisors.
Prime factorization of 13820332681728000:
212 × 32 × 53 × 172 × 612 × 2789
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 61 × 61 × 2789)See below for interesting mathematical facts about the number 13820332681728000 from the Numbermatics database.
Names of 13820332681728000
- Cardinal: 13820332681728000 can be written as Thirteen quadrillion, eight hundred twenty trillion, three hundred thirty-two billion, six hundred eighty-one million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3820332681728 × 1016
Factors of 13820332681728000
Divisors of 13820332681728000
- Number of divisors d(n): 2808
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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 30 32 34 36 40 45 48 50 51 60 61 64 68 72 75 80 85 90 96 100 102 120 122 125 128 136 144 150 153 160 170 180 183 192 200 204 225 240 244 250 255 256 272 288 289 300 305 306 320 340 360 366 375 384 400 408 425 450 480 488 500 510 512 544 549 576 578 600 610 612 640 680 720 732 750 765 768 800 816 850 867 900 915 960 976 1000 1020 1024 1037 1088 1098 1125 1152 1156 1200 1220 1224 1275 1280 1360 1440 1445 1464 1500 1525 1530 1536 1600 1632 1700 1734 1800 1830 1920 1952 2000 2040 2048 2074 2125 2176 2196 2250 2304 2312 2400 2440 2448 2550 2560 2601 2720 2745 2789 2880 2890 2928 3000 3050 3060 3072 3111 3200 3264 3400 3468 3600 3660 3721 3825 3840 3904 4000 4080 4096 4148 4250 4335 4352 4392 4500 4575 4608 4624 4800 4880 4896 5100 5120 5185 5202 5440 5490 5578 5760 5780 5856 6000 6100 6120 6144 6222 6375 6400 6528 6800 6936 7200 7225 7320 7442 7625 7650 7680 7808 8000 8160 8296 8367 8500 8670 8704 8784 9000 9150 9216 9248 9333 9600 9760 9792 10200 10240 10370 10404 10880 10980 11156 11163 11520 11560 11712 12000 12200 12240 12288 12444 12750 12800 13005 13056 13600 13725 13872 13945 14400 14450 14640 14884 15250 15300 15360 15555 15616 16000 16320 16592 16734 17000 17340 17408 17568 17629 18000 18300 18432 18496 18605 18666 19125 19200 19520 19584 20400 20480 20740 20808 21675 21760 21960 22312 22326 22875 23040 23120 23424 24000 24400 24480 24888 25101 25500 25600 25925 26010 26112 27200 27450 27744 27890 28800 28900 29280 29768 30500 30600 30720 31110 31232 32000 32640 33184 33468 33489 34000 34680 34816 35136 35258 36000 36125 36600 36864 36992 37210 37332 38250 38400 39040 39168 40800 41480 41616 41835 43350 43520 43920 44624 44652 45750 46080 46240 46665 46848 47413 48000 48800 48960 49776 50202 51000 51200 51850 52020 52224 52887 54400 54900 55488 55780 55815 57600 57800 58560 59536 61000 61200 61440 62220 62464 63257 64000 65025 65280 66368 66936 66978 68000 68625 69360 69632 69725 70272 70516 72000 72250 73200 73984 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8997612423000 9032897177600 9062513233920 9213555121152 9440117952000 9564244070400 9597453251200 10162009324800 10797134907600 10839476613120 11291121472000 11328141542400 11516943901440 11955305088000 11996816564000 12284740161536 12586823936000 12702511656000 13327225344000 13496418634500 13549345766400 13820332681728 14160176928000 14396179876800 15104188723200 15355925201920 15940406784000 16259214919680 16936682208000 17275415852160 17995224846000 18065794355200 18427110242304 18880235904000 19194906502400 20324018649600 21594269815200 22582242944000 22656283084800 23033887802880 23910610176000 23993633128000 25173647872000 25405023312000 26992837269000 27098691532800 27640665363456 28320353856000 28792359753600 30711850403840 32518429839360 33873364416000 34550831704320 35990449692000 36854220484608 37760471808000 38389813004800 40648037299200 43188539630400 45164485888000 45312566169600 46067775605760 47821220352000 47987266256000 50810046624000 53985674538000 54197383065600 55281330726912 56640707712000 57584719507200 61423700807680 67746728832000 69101663408640 71980899384000 75520943616000 76779626009600 81296074598400 86377079260800 90328971776000 92135551211520 95974532512000 101620093248000 107971349076000 110562661453824 113281415424000 115169439014400 135493457664000 138203326817280 143961798768000 153559252019200 162592149196800 172754158521600 184271102423040 191949065024000 203240186496000 215942698152000 226562830848000 230338878028800 270986915328000 276406653634560 287923597536000 307118504038400 345508317043200 383898130048000 406480372992000 431885396304000 460677756057600 552813307269120 575847195072000 691016634086400 767796260096000 812960745984000 863770792608000 921355512115200 1151694390144000 1382033268172800 1535592520192000 1727541585216000 2303388780288000 2764066536345600 3455083170432000 4606777560576000 6910166340864000 13820332681728000
- Sum of all divisors σ(n): 53824970024930520
- Sum of proper divisors (its aliquot sum) s(n): 40004637343202520
- 13820332681728000 is an abundant number, because the sum of its proper divisors (40004637343202520) is greater than itself. Its abundance is 26184304661474520
Bases of 13820332681728000
- Binary: 1100010001100110000100111101000010110000010000000000002
- Hexadecimal: 0x311984F42C1000
- Base-36: 3S2WD6OA9S0
Squares and roots of 13820332681728000
- 13820332681728000 squared (138203326817280002) is 191001595433639052145065984000000
- 13820332681728000 cubed (138203326817280003) is 2639705591633711320594007801538231140352000000000
-
The
square root of 13820332681728000 is 117559911.0314736501 -
The
cube root of 13820332681728000 is 239978.7752163407
Scales and comparisons
How big is 13820332681728000?- 13,820,332,681,728,000 seconds is equal to 439,443,830 years, 9 weeks, 3 days, 16 hours.
-
To count from 1 to 13,820,332,681,728,000 would take you about one billion, three hundred eighteen million, three hundred thirty-one thousand, four hundred ninety 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 13820332681728000 cubic inches would be around 19998.2 feet tall.
Recreational maths with 13820332681728000
- 13820332681728000 backwards is 00082718623302831
- The number of decimal digits it has is: 17
- The sum of 13820332681728000's digits is 54
- More coming soon!
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"Number 13820332681728000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 13820332681728000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/13820332681728000/
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The information we have on file for 13820332681728000 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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