13982937120768000
13,982,937,120,768,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13982937120768000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2976 divisors.
13982937120768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, nine hundred seventy-six divisors.
Prime factorization of 13982937120768000:
230 × 3 × 53 × 7 × 112 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 41)See below for interesting mathematical facts about the number 13982937120768000 from the Numbermatics database.
Names of 13982937120768000
- Cardinal: 13982937120768000 can be written as Thirteen quadrillion, nine hundred eighty-two trillion, nine hundred thirty-seven billion, one hundred twenty million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3982937120768 × 1016
Factors of 13982937120768000
Divisors of 13982937120768000
- Number of divisors d(n): 2976
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 41 42 44 48 50 55 56 60 64 66 70 75 77 80 82 84 88 96 100 105 110 112 120 121 123 125 128 132 140 150 154 160 164 165 168 175 176 192 200 205 210 220 224 231 240 242 246 250 256 264 275 280 287 300 308 320 328 330 336 350 352 363 375 384 385 400 410 420 440 448 451 462 480 484 492 500 512 525 528 550 560 574 600 605 615 616 640 656 660 672 700 704 726 750 768 770 800 820 825 840 847 861 875 880 896 902 924 960 968 984 1000 1024 1025 1050 1056 1100 1120 1148 1155 1200 1210 1230 1232 1280 1312 1320 1344 1353 1375 1400 1408 1435 1452 1500 1536 1540 1600 1640 1650 1680 1694 1722 1750 1760 1792 1804 1815 1848 1920 1925 1936 1968 2000 2048 2050 2100 2112 2200 2240 2255 2296 2310 2400 2420 2460 2464 2541 2560 2624 2625 2640 2688 2706 2750 2800 2816 2870 2904 3000 3025 3072 3075 3080 3157 3200 3280 3300 3360 3388 3444 3500 3520 3584 3608 3630 3696 3840 3850 3872 3936 4000 4096 4100 4125 4200 4224 4235 4305 4400 4480 4510 4592 4620 4800 4840 4920 4928 4961 5082 5120 5125 5248 5250 5280 5376 5412 5500 5600 5632 5740 5775 5808 6000 6050 6144 6150 6160 6314 6400 6560 6600 6720 6765 6776 6888 7000 7040 7168 7175 7216 7260 7392 7680 7700 7744 7872 8000 8192 8200 8250 8400 8448 8470 8610 8800 8960 9020 9075 9184 9240 9471 9600 9625 9680 9840 9856 9922 10164 10240 10250 10496 10500 10560 10752 10824 11000 11200 11264 11275 11480 11550 11616 12000 12100 12288 12300 12320 12628 12705 12800 13120 13200 13440 13530 13552 13776 14000 14080 14336 14350 14432 14520 14784 14883 15125 15360 15375 15400 15488 15744 15785 16000 16384 16400 16500 16800 16896 16940 17220 17600 17920 18040 18150 18368 18480 18942 19200 19250 19360 19680 19712 19844 20328 20480 20500 20992 21000 21120 21175 21504 21525 21648 22000 22400 22528 22550 22960 23100 23232 24000 24200 24576 24600 24640 24805 25256 25410 25600 26240 26400 26880 27060 27104 27552 28000 28160 28672 28700 28864 28875 29040 29568 29766 30250 30720 30750 30800 30976 31488 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28890365952000 29131119001600 30266097664000 31004295168000 31211913216000 31779402547200 33292707430400 34104724684800 34957342801920 36319317196800 36413898752000 37287832322048 38520487936000 39724253184000 39951248916480 41615884288000 42372536729600 42630905856000 43696678502400 45399146496000 46609790402560 48721035264000 49939061145600 50847044075520 52965670912000 54620848128000 55931748483072 56841207808000 57780731904000 58262238003200 60532195328000 62423826432000 63558805094400 66585414860800 68209449369600 69914685603840 72827797504000 79448506368000 79902497832960 83231768576000 84745073459200 85261811712000 87393357004800 90798292992000 93219580805120 99878122291200 105931341824000 109241696256000 111863496966144 113682415616000 115561463808000 116524476006400 124847652864000 127117610188800 133170829721600 139829371207680 145655595008000 158897012736000 166463537152000 170523623424000 174786714009600 181596585984000 186439161610240 199756244582400 211862683648000 218483392512000 233048952012800 249695305728000 254235220377600 279658742415360 291311190016000 317794025472000 332927074304000 341047246848000 349573428019200 399512489164800 423725367296000 436966785024000 466097904025600 499390611456000 559317484830720 582622380032000 635588050944000 665854148608000 699146856038400 873933570048000 932195808051200 998781222912000 1165244760064000 1271176101888000 1398293712076800 1747867140096000 1997562445824000 2330489520128000 2796587424153600 3495734280192000 4660979040256000 6991468560384000 13982937120768000
- Sum of all divisors σ(n): 59883251511492864
- Sum of proper divisors (its aliquot sum) s(n): 45900314390724864
- 13982937120768000 is an abundant number, because the sum of its proper divisors (45900314390724864) is greater than itself. Its abundance is 31917377269956864
Bases of 13982937120768000
- Binary: 1100011010110101101000010000000000000000000000000000002
- Hexadecimal: 0x31AD6840000000
- Base-36: 3TOJCMSYTXC
Squares and roots of 13982937120768000
- 13982937120768000 squared (139829371207680002) is 195522530523351685816909824000000
- 13982937120768000 cubed (139829371207680003) is 2733979250001468617865779996409653624832000000000
-
The
square root of 13982937120768000 is 118249469.8540674219 -
The
cube root of 13982937120768000 is 240916.2724063571
Scales and comparisons
How big is 13982937120768000?- 13,982,937,120,768,000 seconds is equal to 444,614,148 years, 19 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 13,982,937,120,768,000 would take you about one billion, three hundred thirty-three million, eight hundred forty-two thousand, four hundred forty-five 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 13982937120768000 cubic inches would be around 20076.4 feet tall.
Recreational maths with 13982937120768000
- 13982937120768000 backwards is 00086702173928931
- 13982937120768000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13982937120768000's digits is 66
- More coming soon!
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Cite this page
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"Number 13982937120768000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 13982937120768000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13982937120768000/
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Numbermatics. 2024. "Number 13982937120768000 - Facts about the integer". https://numbermatics.com/n/13982937120768000/
The information we have on file for 13982937120768000 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 13982937120768000, math, Factors of 13982937120768000, curriculum, school, college, exams, university, Prime factorization of 13982937120768000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred eighty-two trillion, nine hundred thirty-seven billion, one hundred twenty million, seven hundred sixty-eight thousand.