13940318488320000
13,940,318,488,320,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13940318488320000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5760 divisors.
13940318488320000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.
Prime factorization of 13940318488320000:
211 × 33 × 54 × 72 × 23 × 713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 23 × 71 × 71 × 71)See below for interesting mathematical facts about the number 13940318488320000 from the Numbermatics database.
Names of 13940318488320000
- Cardinal: 13940318488320000 can be written as Thirteen quadrillion, nine hundred forty trillion, three hundred eighteen billion, four hundred eighty-eight million, three hundred twenty thousand.
Scientific notation
- Scientific notation: 1.394031848832 × 1016
Factors of 13940318488320000
Divisors of 13940318488320000
- Number of divisors d(n): 5760
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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 23 24 25 27 28 30 32 35 36 40 42 45 46 48 49 50 54 56 60 63 64 69 70 71 72 75 80 84 90 92 96 98 100 105 108 112 115 120 125 126 128 135 138 140 142 144 147 150 160 161 168 175 180 184 189 192 196 200 207 210 213 216 224 225 230 240 245 250 252 256 270 276 280 284 288 294 300 315 320 322 336 345 350 355 360 368 375 378 384 392 400 414 420 426 432 441 448 450 460 480 483 490 497 500 504 512 525 540 552 560 568 575 576 588 600 621 625 630 639 640 644 672 675 690 700 710 720 735 736 750 756 768 784 800 805 828 840 852 864 875 882 896 900 920 945 960 966 980 994 1000 1008 1024 1035 1050 1065 1080 1104 1120 1125 1127 1136 1150 1152 1176 1200 1225 1242 1250 1260 1278 1280 1288 1323 1344 1350 1380 1400 1420 1440 1449 1470 1472 1491 1500 1512 1536 1568 1575 1600 1610 1633 1656 1680 1704 1725 1728 1750 1764 1775 1792 1800 1840 1875 1890 1917 1920 1932 1960 1988 2000 2016 2048 2070 2100 2130 2160 2205 2208 2240 2250 2254 2272 2300 2304 2352 2400 2415 2450 2484 2485 2500 2520 2556 2560 2576 2625 2646 2688 2700 2760 2800 2840 2875 2880 2898 2940 2944 2982 3000 3024 3072 3105 3136 3150 3195 3200 3220 3266 3312 3360 3375 3381 3408 3450 3456 3479 3500 3528 3550 3584 3600 3675 3680 3750 3780 3834 3840 3864 3920 3976 4000 4025 4032 4140 4200 4260 4320 4347 4375 4410 4416 4473 4480 4500 4508 4544 4600 4608 4704 4725 4800 4830 4899 4900 4968 4970 5000 5040 5041 5112 5120 5152 5175 5250 5292 5325 5376 5400 5520 5600 5625 5635 5680 5750 5760 5796 5880 5888 5964 6000 6048 6125 6144 6210 6272 6300 6390 6400 6440 6532 6615 6624 6720 6750 6762 6816 6900 6912 6958 7000 7056 7100 7168 7200 7245 7350 7360 7455 7500 7560 7668 7680 7728 7840 7875 7952 8000 8050 8064 8165 8280 8400 8520 8625 8640 8694 8750 8820 8832 8875 8946 8960 9000 9016 9088 9200 9216 9408 9450 9585 9600 9660 9798 9800 9936 9940 10000 10080 10082 10143 10224 10240 10304 10350 10437 10500 10584 10650 10752 10800 11025 11040 11200 11250 11270 11360 11431 11500 11520 11592 11760 11776 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774462138240000 871269905520000 929354565888000 995737034880000 1161693207360000 1394031848832000 1548924276480000 1742539811040000 1991474069760000 2323386414720000 2788063697664000 3485079622080000 4646772829440000 6970159244160000 13940318488320000
- Sum of all divisors σ(n): 63531098760729600
- Sum of proper divisors (its aliquot sum) s(n): 49590780272409600
- 13940318488320000 is an abundant number, because the sum of its proper divisors (49590780272409600) is greater than itself. Its abundance is 35650461784089600
Bases of 13940318488320000
- Binary: 1100011000011010100101010100111000110101011000000000002
- Hexadecimal: 0x3186A5538D5800
- Base-36: 3T9FHWJL6O0
Squares and roots of 13940318488320000
- 13940318488320000 squared (139403184883200002) is 194332479555796409976422400000000
- 13940318488320000 cubed (139403184883200003) is 2709056657632737115016203678009786368000000000000
-
The
square root of 13940318488320000 is 118069125.8895398107 -
The
cube root of 13940318488320000 is 240671.2601902877
Scales and comparisons
How big is 13940318488320000?- 13,940,318,488,320,000 seconds is equal to 443,259,007 years, 36 weeks.
-
To count from 1 to 13,940,318,488,320,000 would take you about one billion, three hundred twenty-nine million, seven hundred seventy-seven thousand and twenty-three 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 13940318488320000 cubic inches would be around 20055.9 feet tall.
Recreational maths with 13940318488320000
- 13940318488320000 backwards is 00002388481304931
- 13940318488320000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13940318488320000's digits is 54
- More coming soon!
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"Number 13940318488320000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 13940318488320000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/13940318488320000/
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Numbermatics. 2024. "Number 13940318488320000 - Facts about the integer". https://numbermatics.com/n/13940318488320000/
The information we have on file for 13940318488320000 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 13940318488320000, math, Factors of 13940318488320000, curriculum, school, college, exams, university, Prime factorization of 13940318488320000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred forty trillion, three hundred eighteen billion, four hundred eighty-eight million, three hundred twenty thousand.