20988819878400000
20,988,819,878,400,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 20988819878400000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4992 divisors.
20988819878400000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, nine hundred ninety-two divisors.
Prime factorization of 20988819878400000:
212 × 33 × 55 × 11 × 29 × 61 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 29 × 61 × 3121)See below for interesting mathematical facts about the number 20988819878400000 from the Numbermatics database.
Names of 20988819878400000
- Cardinal: 20988819878400000 can be written as Twenty quadrillion, nine hundred eighty-eight trillion, eight hundred nineteen billion, eight hundred seventy-eight million, four hundred thousand.
Scientific notation
- Scientific notation: 2.09888198784 × 1016
Factors of 20988819878400000
Divisors of 20988819878400000
- Number of divisors d(n): 4992
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 29 30 32 33 36 40 44 45 48 50 54 55 58 60 61 64 66 72 75 80 87 88 90 96 99 100 108 110 116 120 122 125 128 132 135 144 145 150 160 165 174 176 180 183 192 198 200 216 220 225 232 240 244 250 256 261 264 270 275 288 290 297 300 305 319 320 330 348 352 360 366 375 384 396 400 432 435 440 450 464 480 488 495 500 512 522 528 540 549 550 576 580 594 600 610 625 638 640 660 671 675 696 704 720 725 732 750 768 783 792 800 825 864 870 880 900 915 928 957 960 976 990 1000 1024 1044 1056 1080 1098 1100 1125 1152 1160 1188 1200 1220 1250 1276 1280 1305 1320 1342 1350 1375 1392 1408 1440 1450 1464 1485 1500 1525 1536 1566 1584 1595 1600 1647 1650 1728 1740 1760 1769 1800 1830 1856 1875 1914 1920 1952 1980 2000 2013 2048 2088 2112 2160 2175 2196 2200 2250 2304 2320 2376 2400 2440 2475 2500 2552 2560 2610 2640 2684 2700 2745 2750 2784 2816 2871 2880 2900 2928 2970 3000 3050 3072 3121 3125 3132 3168 3190 3200 3294 3300 3355 3375 3456 3480 3520 3538 3600 3625 3660 3712 3750 3828 3840 3904 3915 3960 4000 4026 4096 4125 4176 4224 4320 4350 4392 4400 4500 4575 4608 4640 4752 4785 4800 4880 4950 5000 5104 5120 5220 5280 5307 5368 5400 5490 5500 5568 5625 5632 5742 5760 5800 5856 5940 6000 6039 6100 6144 6242 6250 6264 6336 6380 6400 6525 6588 6600 6710 6750 6875 6912 6960 7040 7076 7200 7250 7320 7424 7425 7500 7625 7656 7680 7808 7830 7920 7975 8000 8052 8235 8250 8352 8448 8613 8640 8700 8784 8800 8845 9000 9150 9216 9280 9363 9375 9504 9570 9600 9760 9900 10000 10065 10208 10240 10440 10560 10614 10736 10800 10875 10980 11000 11136 11250 11264 11484 11520 11600 11712 11880 12000 12078 12200 12288 12375 12484 12500 12528 12672 12760 12800 13050 13176 13200 13420 13500 13725 13750 13824 13920 14080 14152 14355 14400 14500 14640 14848 14850 15000 15250 15312 15360 15605 15616 15660 15840 15921 15950 16000 16104 16470 16500 16704 16775 16875 16896 17226 17280 17400 17568 17600 17690 18000 18117 18125 18300 18432 18560 18726 18750 19008 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777363699200000 839552795136000 874534161600000 954037267200000 1049440993920000 1166045548800000 1311801242400000 1399254658560000 1749068323200000 1908074534400000 2098881987840000 2332091097600000 2623602484800000 3498136646400000 4197763975680000 5247204969600000 6996273292800000 10494409939200000 20988819878400000
- Sum of all divisors σ(n): 89177695487193600
- Sum of proper divisors (its aliquot sum) s(n): 68188875608793600
- 20988819878400000 is an abundant number, because the sum of its proper divisors (68188875608793600) is greater than itself. Its abundance is 47200055730393600
Bases of 20988819878400000
- Binary: 10010101001000100111000011100010001101101010000000000002
- Hexadecimal: 0x4A9138711B5000
- Base-36: 5QNWYQOBUO0
Squares and roots of 20988819878400000
- 20988819878400000 squared (209888198784000002) is 440530559887918990786560000000000
- 20988819878400000 cubed (209888198784000003) is 9246216572418235789829816979554304000000000000000
-
The
square root of 20988819878400000 is 144875187.2419842639 -
The
cube root of 20988819878400000 is 275843.4484583677
Scales and comparisons
How big is 20988819878400000?- 20,988,819,878,400,000 seconds is equal to 667,379,549 years, 23 weeks, 3 days.
-
To count from 1 to 20,988,819,878,400,000 would take you about two billion, two million, one hundred thirty-eight thousand, six hundred forty-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 20988819878400000 cubic inches would be around 22987 feet tall.
Recreational maths with 20988819878400000
- 20988819878400000 backwards is 00000487891888902
- 20988819878400000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 20988819878400000's digits is 72
- More coming soon!
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The information we have on file for 20988819878400000 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 20988819878400000, math, Factors of 20988819878400000, curriculum, school, college, exams, university, Prime factorization of 20988819878400000, STEM, science, technology, engineering, physics, economics, calculator, twenty quadrillion, nine hundred eighty-eight trillion, eight hundred nineteen billion, eight hundred seventy-eight million, four hundred thousand.