14964138574112000
14,964,138,574,112,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 14964138574112000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
14964138574112000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 14964138574112000:
28 × 53 × 7 × 13 × 172 × 31 × 181 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 17 × 17 × 31 × 181 × 3169)See below for interesting mathematical facts about the number 14964138574112000 from the Numbermatics database.
Names of 14964138574112000
- Cardinal: 14964138574112000 can be written as Fourteen quadrillion, nine hundred sixty-four trillion, one hundred thirty-eight billion, five hundred seventy-four million, one hundred twelve thousand.
Scientific notation
- Scientific notation: 1.4964138574112 × 1016
Factors of 14964138574112000
Divisors of 14964138574112000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 31 32 34 35 40 50 52 56 62 64 65 68 70 80 85 91 100 104 112 119 124 125 128 130 136 140 155 160 170 175 181 182 200 208 217 221 224 238 248 250 256 260 272 280 289 310 320 325 340 350 362 364 400 403 416 425 434 442 448 455 476 496 500 520 527 544 560 578 595 620 640 650 680 700 724 728 775 800 806 832 850 868 875 884 896 905 910 952 992 1000 1040 1054 1085 1088 1105 1120 1156 1190 1240 1267 1280 1300 1360 1400 1445 1448 1456 1547 1550 1600 1612 1625 1664 1700 1736 1750 1768 1792 1810 1820 1904 1984 2000 2015 2023 2080 2108 2125 2170 2176 2210 2240 2275 2312 2353 2380 2480 2534 2600 2635 2720 2800 2821 2890 2896 2912 2975 3077 3094 3100 3169 3200 3224 3250 3328 3400 3472 3500 3536 3620 3640 3689 3757 3808 3875 3968 4000 4030 4046 4160 4216 4250 4340 4352 4420 4480 4525 4550 4624 4706 4760 4960 5068 5200 5270 5425 5440 5525 5600 5611 5642 5780 5792 5824 5950 6154 6188 6200 6335 6338 6400 6448 6500 6800 6851 6944 7000 7072 7225 7240 7280 7378 7514 7616 7735 7750 7936 8000 8060 8092 8320 8432 8500 8680 8840 8959 8960 9050 9100 9248 9412 9520 9920 10075 10115 10136 10400 10540 10850 10880 11050 11200 11222 11284 11375 11560 11584 11648 11765 11900 12308 12376 12400 12670 12676 12896 13000 13175 13600 13702 13888 14000 14105 14144 14450 14480 14560 14756 14875 15028 15232 15385 15470 15500 15845 16000 16120 16184 16471 16640 16864 17000 17360 17680 17918 18100 18200 18445 18496 18785 18824 19040 19840 20150 20230 20272 20800 21080 21539 21700 21760 22100 22183 22400 22444 22568 22625 22750 23120 23168 23296 23530 23800 24616 24752 24800 25340 25352 25792 26000 26299 26350 27125 27200 27404 27625 27776 28000 28055 28210 28288 28900 28960 29120 29512 29750 30056 30464 30770 30940 31000 31675 31690 32000 32240 32368 32942 33728 34000 34255 34720 35360 35836 36125 36200 36400 36890 36992 37570 37648 38080 38675 39277 39680 40001 40300 40460 40544 41197 41600 42160 43078 43400 44200 44366 44795 44800 44888 45136 45250 45500 46240 46336 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880243445536000 935258660882000 1068867041008000 1151087582624000 1496413857411200 1870517321764000 2137734082016000 2992827714822400 3741034643528000 7482069287056000 14964138574112000
- Sum of all divisors σ(n): 50603729452523520
- Sum of proper divisors (its aliquot sum) s(n): 35639590878411520
- 14964138574112000 is an abundant number, because the sum of its proper divisors (35639590878411520) is greater than itself. Its abundance is 20675452304299520
Bases of 14964138574112000
- Binary: 1101010010100111001110000001000001010001100101000000002
- Hexadecimal: 0x3529CE04146500
- Base-36: 43CCECWF1FK
Squares and roots of 14964138574112000
- 14964138574112000 squared (149641385741120002) is 223925443265226720516588544000000
- 14964138574112000 cubed (149641385741120003) is 3350851363290307330983505230854754172928000000000
-
The
square root of 14964138574112000 is 122327995.8722123427 -
The
cube root of 14964138574112000 is 246424.5130853905
Scales and comparisons
How big is 14964138574112000?- 14,964,138,574,112,000 seconds is equal to 475,813,319 years, 27 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 14,964,138,574,112,000 would take you about one billion, four hundred twenty-seven million, four hundred thirty-nine thousand, nine hundred fifty-eight 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 14964138574112000 cubic inches would be around 20535.4 feet tall.
Recreational maths with 14964138574112000
- 14964138574112000 backwards is 00021147583146941
- 14964138574112000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 14964138574112000's digits is 56
- More coming soon!
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Cite this page
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"Number 14964138574112000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 14964138574112000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/14964138574112000/
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The information we have on file for 14964138574112000 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 14964138574112000, math, Factors of 14964138574112000, curriculum, school, college, exams, university, Prime factorization of 14964138574112000, STEM, science, technology, engineering, physics, economics, calculator, fourteen quadrillion, nine hundred sixty-four trillion, one hundred thirty-eight billion, five hundred seventy-four million, one hundred twelve thousand.