13614011980800000
13,614,011,980,800,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13614011980800000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 6048 divisors.
13614011980800000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand and forty-eight divisors.
Prime factorization of 13614011980800000:
213 × 3 × 55 × 72 × 11 × 31 × 1032
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 31 × 103 × 103)See below for interesting mathematical facts about the number 13614011980800000 from the Numbermatics database.
Names of 13614011980800000
- Cardinal: 13614011980800000 can be written as Thirteen quadrillion, six hundred fourteen trillion, eleven billion, nine hundred eighty million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.36140119808 × 1016
Factors of 13614011980800000
Divisors of 13614011980800000
- Number of divisors d(n): 6048
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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 31 32 33 35 40 42 44 48 49 50 55 56 60 62 64 66 70 75 77 80 84 88 93 96 98 100 103 105 110 112 120 124 125 128 132 140 147 150 154 155 160 165 168 175 176 186 192 196 200 206 210 217 220 224 231 240 245 248 250 256 264 275 280 294 300 308 309 310 320 330 336 341 350 352 372 375 384 385 392 400 412 420 434 440 448 462 465 480 490 496 500 512 515 525 528 539 550 560 588 600 616 618 620 625 640 651 660 672 682 700 704 721 735 744 750 768 770 775 784 800 824 825 840 868 875 880 896 924 930 960 980 992 1000 1023 1024 1030 1050 1056 1078 1085 1100 1120 1133 1155 1176 1200 1225 1232 1236 1240 1250 1280 1302 1320 1344 1364 1375 1400 1408 1442 1470 1488 1500 1519 1536 1540 1545 1550 1568 1600 1617 1648 1650 1680 1705 1736 1750 1760 1792 1848 1860 1875 1920 1925 1960 1984 2000 2046 2048 2060 2100 2112 2156 2163 2170 2200 2240 2266 2310 2325 2352 2387 2400 2450 2464 2472 2480 2500 2560 2575 2604 2625 2640 2688 2695 2728 2750 2800 2816 2884 2940 2976 3000 3038 3072 3080 3090 3100 3125 3136 3193 3200 3234 3255 3296 3300 3360 3399 3410 3472 3500 3520 3584 3605 3675 3696 3720 3750 3840 3850 3875 3920 3968 4000 4092 4096 4120 4125 4200 4224 4312 4326 4340 4375 4400 4480 4532 4557 4620 4650 4704 4774 4800 4900 4928 4944 4960 5000 5047 5115 5120 5150 5208 5250 5280 5376 5390 5425 5456 5500 5600 5632 5665 5768 5775 5880 5952 6000 6076 6125 6144 6160 6180 6200 6250 6272 6386 6400 6468 6510 6592 6600 6720 6798 6820 6875 6944 7000 7040 7161 7168 7210 7350 7392 7440 7500 7595 7680 7700 7725 7750 7840 7931 7936 8000 8085 8184 8192 8240 8250 8400 8448 8525 8624 8652 8680 8750 8800 8960 9064 9114 9240 9300 9375 9408 9548 9579 9600 9625 9800 9856 9888 9920 10000 10094 10230 10240 10300 10416 10500 10560 10609 10752 10780 10815 10850 10912 11000 11200 11264 11330 11536 11550 11625 11760 11904 11935 12000 12152 12250 12288 12320 12360 12400 12500 12544 12772 12800 12875 12936 13020 13125 13184 13200 13440 13475 13596 13640 13750 13888 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- Sum of all divisors σ(n): 60020947431502848
- Sum of proper divisors (its aliquot sum) s(n): 46406935450702848
- 13614011980800000 is an abundant number, because the sum of its proper divisors (46406935450702848) is greater than itself. Its abundance is 32792923469902848
Bases of 13614011980800000
- Binary: 1100000101110111011111001011000001010101100000000000002
- Hexadecimal: 0x305DDF2C156000
- Base-36: 3Q1RIRHZU2O
Squares and roots of 13614011980800000
- 13614011980800000 squared (136140119808000002) is 185341322213365939568640000000000
- 13614011980800000 cubed (136140119808000003) is 2523238981150077075182113743962112000000000000000
-
The
square root of 13614011980800000 is 116679098.3029951257 -
The
cube root of 13614011980800000 is 238778.5860503629
Scales and comparisons
How big is 13614011980800000?- 13,614,011,980,800,000 seconds is equal to 432,883,470 years, 4 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 13,614,011,980,800,000 would take you about one billion, two hundred ninety-eight million, six hundred fifty thousand, four hundred ten 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 13614011980800000 cubic inches would be around 19898.2 feet tall.
Recreational maths with 13614011980800000
- 13614011980800000 backwards is 00000808911041631
- 13614011980800000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13614011980800000's digits is 42
- More coming soon!
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"Number 13614011980800000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 13614011980800000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/13614011980800000/
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The information we have on file for 13614011980800000 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 13614011980800000, math, Factors of 13614011980800000, curriculum, school, college, exams, university, Prime factorization of 13614011980800000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, six hundred fourteen trillion, eleven billion, nine hundred eighty million, eight hundred thousand.