13964150980080000
13,964,150,980,080,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13964150980080000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3200 divisors.
13964150980080000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, two hundred divisors.
Prime factorization of 13964150980080000:
27 × 34 × 54 × 7 × 103 × 353 × 8467
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 103 × 353 × 8467)See below for interesting mathematical facts about the number 13964150980080000 from the Numbermatics database.
Names of 13964150980080000
- Cardinal: 13964150980080000 can be written as Thirteen quadrillion, nine hundred sixty-four trillion, one hundred fifty billion, nine hundred eighty million, eighty thousand.
Scientific notation
- Scientific notation: 1.396415098008 × 1016
Factors of 13964150980080000
Divisors of 13964150980080000
- Number of divisors d(n): 3200
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 103 105 108 112 120 125 126 128 135 140 144 150 160 162 168 175 180 189 192 200 206 210 216 224 225 240 250 252 270 280 288 300 309 315 320 324 336 350 353 360 375 378 384 400 405 412 420 432 448 450 480 500 504 515 525 540 560 567 576 600 618 625 630 640 648 672 675 700 706 720 721 750 756 800 810 824 840 864 875 896 900 927 945 960 1000 1008 1030 1050 1059 1080 1120 1125 1134 1152 1200 1236 1250 1260 1296 1344 1350 1400 1412 1440 1442 1500 1512 1545 1575 1600 1620 1648 1680 1728 1750 1765 1800 1854 1875 1890 1920 2000 2016 2025 2060 2100 2118 2160 2163 2240 2250 2268 2400 2471 2472 2500 2520 2575 2592 2625 2688 2700 2781 2800 2824 2835 2880 2884 3000 3024 3090 3150 3177 3200 3240 3296 3360 3375 3456 3500 3530 3600 3605 3708 3750 3780 4000 4032 4050 4120 4200 4236 4320 4326 4375 4480 4500 4536 4635 4725 4800 4942 4944 5000 5040 5150 5184 5250 5295 5400 5562 5600 5625 5648 5670 5760 5768 6000 6048 6180 6300 6354 6480 6489 6592 6720 6750 7000 7060 7200 7210 7413 7416 7500 7560 7725 7875 8000 8064 8100 8240 8343 8400 8467 8472 8640 8652 8750 8825 9000 9072 9270 9450 9531 9600 9884 9888 10000 10080 10125 10300 10368 10500 10590 10800 10815 11124 11200 11250 11296 11340 11536 12000 12096 12355 12360 12600 12708 12875 12960 12978 13125 13184 13440 13500 13905 14000 14120 14175 14400 14420 14826 14832 15000 15120 15450 15750 15885 16000 16200 16480 16686 16800 16875 16934 16944 17280 17304 17500 17650 18000 18025 18144 18540 18900 19062 19467 19768 19776 20000 20160 20250 20600 21000 21180 21600 21630 22239 22248 22400 22500 22592 22680 23072 23175 23625 24000 24192 24710 24720 25200 25401 25416 25750 25920 25956 26250 26475 27000 27810 28000 28240 28350 28593 28800 28840 29652 29664 30000 30240 30900 31500 31770 32400 32445 32960 33372 33600 33750 33868 33888 34608 35000 35300 36000 36050 36288 36359 37065 37080 37800 38124 38625 38934 39375 39536 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155157233112000 166239892620000 172396925680000 174551887251000 186188679734400 193946541390000 199487871144000 218189859063750 221653190160000 232735849668000 249359838930000 258595388520000 279283019601600 290919812085000 310314466224000 332479785240000 349103774502000 387893082780000 398975742288000 436379718127500 465471699336000 498719677860000 517190777040000 558566039203200 581839624170000 664959570480000 698207549004000 775786165560000 872759436255000 930943398672000 997439355720000 1163679248340000 1396415098008000 1551572331120000 1745518872510000 1994878711440000 2327358496680000 2792830196016000 3491037745020000 4654716993360000 6982075490040000 13964150980080000
- Sum of all divisors σ(n): 60101321634731520
- Sum of proper divisors (its aliquot sum) s(n): 46137170654651520
- 13964150980080000 is an abundant number, because the sum of its proper divisors (46137170654651520) is greater than itself. Its abundance is 32173019674571520
Bases of 13964150980080000
- Binary: 1100011001110001010010010000101100000111110001100000002
- Hexadecimal: 0x319C5242C1F180
- Base-36: 3THVMEDUG00
Squares and roots of 13964150980080000
- 13964150980080000 squared (139641509800800002) is 194997512594469224556806400000000
- 13964150980080000 cubed (139641509800800003) is 2722974706609219565682325694194816512000000000000
-
The
square root of 13964150980080000 is 118170008.8012182557 -
The
cube root of 13964150980080000 is 240808.3333443283
Scales and comparisons
How big is 13964150980080000?- 13,964,150,980,080,000 seconds is equal to 444,016,807 years, 11 weeks.
-
To count from 1 to 13,964,150,980,080,000 would take you about one billion, three hundred thirty-two million, fifty thousand, four hundred twenty-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 13964150980080000 cubic inches would be around 20067.4 feet tall.
Recreational maths with 13964150980080000
- 13964150980080000 backwards is 00008008905146931
- 13964150980080000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13964150980080000's digits is 54
- More coming soon!
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"Number 13964150980080000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 13964150980080000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/13964150980080000/
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Numbermatics. 2024. "Number 13964150980080000 - Facts about the integer". https://numbermatics.com/n/13964150980080000/
The information we have on file for 13964150980080000 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 13964150980080000, math, Factors of 13964150980080000, curriculum, school, college, exams, university, Prime factorization of 13964150980080000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred sixty-four trillion, one hundred fifty billion, nine hundred eighty million, eighty thousand.