13945351976864000
13,945,351,976,864,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13945351976864000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3024 divisors.
13945351976864000 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 13945351976864000:
28 × 53 × 76 × 115 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 23)See below for interesting mathematical facts about the number 13945351976864000 from the Numbermatics database.
Names of 13945351976864000
- Cardinal: 13945351976864000 can be written as Thirteen quadrillion, nine hundred forty-five trillion, three hundred fifty-one billion, nine hundred seventy-six million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.3945351976864 × 1016
Factors of 13945351976864000
Divisors of 13945351976864000
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 23 25 28 32 35 40 44 46 49 50 55 56 64 70 77 80 88 92 98 100 110 112 115 121 125 128 140 154 160 161 175 176 184 196 200 220 224 230 242 245 250 253 256 275 280 308 320 322 343 350 352 368 385 392 400 440 448 460 484 490 500 506 539 550 560 575 605 616 640 644 686 700 704 736 770 784 800 805 847 875 880 896 920 968 980 1000 1012 1078 1100 1120 1127 1150 1210 1225 1232 1265 1280 1288 1331 1372 1375 1400 1408 1472 1540 1568 1600 1610 1694 1715 1750 1760 1771 1792 1840 1925 1936 1960 2000 2024 2156 2200 2240 2254 2300 2401 2420 2450 2464 2530 2576 2662 2695 2744 2750 2783 2800 2816 2875 2944 3025 3080 3136 3200 3220 3388 3430 3500 3520 3542 3680 3773 3850 3872 3920 4000 4025 4048 4235 4312 4400 4480 4508 4600 4802 4840 4900 4928 5060 5152 5324 5390 5488 5500 5566 5600 5635 5750 5888 5929 6050 6125 6160 6272 6325 6400 6440 6655 6776 6860 7000 7040 7084 7360 7546 7700 7744 7840 7889 8000 8050 8096 8470 8575 8624 8800 8855 8960 9016 9200 9317 9604 9625 9680 9800 9856 10120 10304 10648 10780 10976 11000 11132 11200 11270 11500 11858 12005 12100 12250 12320 12397 12544 12650 12880 13310 13475 13552 13720 13915 14000 14080 14168 14641 14720 15092 15125 15400 15488 15680 15778 16000 16100 16192 16807 16940 17150 17248 17600 17710 18032 18400 18634 18865 19208 19250 19360 19481 19600 19712 20125 20240 20608 21175 21296 21560 21952 22000 22264 22400 22540 23000 23716 24010 24200 24500 24640 24794 25300 25760 26411 26620 26950 27104 27440 27830 28000 28175 28336 29282 29440 29645 30184 30250 30613 30800 30976 31360 31556 31625 32000 32200 32384 33275 33614 33880 34300 34496 35200 35420 36064 36800 37268 37730 38416 38500 38720 38962 39200 39445 40250 40480 41216 41503 42350 42592 42875 43120 43904 44000 44275 44528 44800 45080 46000 46585 47432 48020 48400 49000 49280 49588 50600 51520 52822 53240 53900 54208 54880 55223 55660 56000 56350 56672 58564 59290 60025 60368 60500 61226 61600 61985 62720 63112 63250 64400 64768 65219 66550 67228 67375 67760 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37894978198000 39617477207000 39843862791040 40657002848000 43308546512000 43579224927700 45277116808000 49804828488800 50710370824960 54474031159625 55119968288000 55781407907456 56919803987200 57625421392000 60631965116800 62256035611000 63387963531200 69726759884320 71149754984000 75789956396000 79234954414000 79687725582080 86617093024000 87158449855400 90554233616000 99609656977600 108948062319250 111562815814912 115250842784000 121263930233600 124512071222000 126775927062400 139453519768640 142299509968000 151579912792000 158469908828000 174316899710800 181108467232000 199219313955200 217896124638500 249024142444000 253551854124800 278907039537280 284599019936000 303159825584000 316939817656000 348633799421600 398438627910400 435792249277000 498048284888000 557814079074560 606319651168000 633879635312000 697267598843200 871584498554000 996096569776000 1267759270624000 1394535197686400 1743168997108000 1992193139552000 2789070395372800 3486337994216000 6972675988432000 13945351976864000
- Sum of all divisors σ(n): 46520792914796928
- Sum of proper divisors (its aliquot sum) s(n): 32575440937932928
- 13945351976864000 is an abundant number, because the sum of its proper divisors (32575440937932928) is greater than itself. Its abundance is 18630088961068928
Bases of 13945351976864000
- Binary: 1100011000101100111001010001101101100101001001000000002
- Hexadecimal: 0x318B3946D94900
- Base-36: 3TB7Q98PFY8
Squares and roots of 13945351976864000
- 13945351976864000 squared (139453519768640002) is 194472841758624672791274496000000
- 13945351976864000 cubed (139453519768640003) is 2711992228264996431031604945643665260544000000000
-
The
square root of 13945351976864000 is 118090439.8199278449 -
The
cube root of 13945351976864000 is 240700.2234275725
Scales and comparisons
How big is 13945351976864000?- 13,945,351,976,864,000 seconds is equal to 443,419,057 years, 3 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,945,351,976,864,000 would take you about one billion, three hundred thirty million, two hundred fifty-seven thousand, one hundred seventy-one 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 13945351976864000 cubic inches would be around 20058.4 feet tall.
Recreational maths with 13945351976864000
- 13945351976864000 backwards is 00046867915354931
- The number of decimal digits it has is: 17
- The sum of 13945351976864000's digits is 71
- More coming soon!
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Cite this page
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"Number 13945351976864000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 13945351976864000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/13945351976864000/
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The information we have on file for 13945351976864000 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 13945351976864000, math, Factors of 13945351976864000, curriculum, school, college, exams, university, Prime factorization of 13945351976864000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred forty-five trillion, three hundred fifty-one billion, nine hundred seventy-six million, eight hundred sixty-four thousand.