218421420648480000
218,421,420,648,480,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 218421420648480000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4320 divisors.
218421420648480000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 218421420648480000:
28 × 33 × 54 × 7 × 532 × 1373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 53 × 53 × 137 × 137 × 137)See below for interesting mathematical facts about the number 218421420648480000 from the Numbermatics database.
Names of 218421420648480000
- Cardinal: 218421420648480000 can be written as Two hundred eighteen quadrillion, four hundred twenty-one trillion, four hundred twenty billion, six hundred forty-eight million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 2.1842142064848 × 1017
Factors of 218421420648480000
Divisors of 218421420648480000
- Number of divisors d(n): 4320
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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 53 54 56 60 63 64 70 72 75 80 84 90 96 100 105 106 108 112 120 125 126 128 135 137 140 144 150 159 160 168 175 180 189 192 200 210 212 216 224 225 240 250 252 256 265 270 274 280 288 300 315 318 320 336 350 360 371 375 378 384 400 411 420 424 432 448 450 477 480 500 504 525 530 540 548 560 576 600 625 630 636 640 672 675 685 700 720 742 750 756 768 795 800 822 840 848 864 875 896 900 945 954 959 960 1000 1008 1050 1060 1080 1096 1113 1120 1125 1152 1200 1233 1250 1260 1272 1280 1325 1344 1350 1370 1400 1431 1440 1484 1500 1512 1575 1590 1600 1644 1680 1696 1728 1750 1792 1800 1855 1875 1890 1908 1918 1920 2000 2016 2055 2100 2120 2160 2192 2226 2240 2250 2304 2385 2400 2466 2500 2520 2544 2625 2650 2688 2700 2740 2800 2809 2862 2877 2880 2968 3000 3024 3150 3180 3200 3288 3339 3360 3375 3392 3425 3456 3500 3600 3699 3710 3750 3780 3816 3836 3840 3975 4000 4032 4110 4200 4240 4320 4375 4384 4452 4480 4500 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1300127503860000 1365133879053000 1373719626720000 1456142804323200 1516815421170000 1560153004632000 1594316939040000 1617936449248000 1706417348816250 1733503338480000 1747371365187840 1820178505404000 1950191255790000 2022420561560000 2060579440080000 2080204006176000 2184214206484800 2275223131755000 2426904673872000 2600255007720000 2730267758106000 2912285608646400 3033630842340000 3120306009264000 3412834697632500 3467006676960000 3640357010808000 3900382511580000 4044841123120000 4121158880160000 4368428412969600 4550446263510000 4853809347744000 5200510015440000 5460535516212000 6067261684680000 6240612018528000 6825669395265000 7280714021616000 7800765023160000 8089682246240000 8736856825939200 9100892527020000 10401020030880000 10921071032424000 12134523369360000 13651338790530000 14561428043232000 15601530046320000 18201785054040000 21842142064848000 24269046738720000 27302677581060000 31203060092640000 36403570108080000 43684284129696000 54605355162120000 72807140216160000 109210710324240000 218421420648480000
- Sum of all divisors σ(n): 947079899465145600
- Sum of proper divisors (its aliquot sum) s(n): 728658478816665600
- 218421420648480000 is an abundant number, because the sum of its proper divisors (728658478816665600) is greater than itself. Its abundance is 510237058168185600
Bases of 218421420648480000
- Binary: 11000001111111110100011111111101010001011010111101000000002
- Hexadecimal: 0x307FD1FF516BD00
- Base-36: 1NQNXJF056O0
Squares and roots of 218421420648480000
- 218421420648480000 squared (2184214206484800002) is 47707916998100245303726310400000000
- 218421420648480000 cubed (2184214206484800003) is 10420431006904822896516279083489205768192000000000000
-
The
square root of 218421420648480000 is 467355775.2381797625 -
The
cube root of 218421420648480000 is 602233.7299206749
Scales and comparisons
How big is 218421420648480000?- 218,421,420,648,480,000 seconds is equal to 6,945,125,554 years, 42 weeks.
-
To count from 1 to 218,421,420,648,480,000 would take you about twenty billion, eight hundred thirty-five million, three hundred seventy-six thousand, six hundred sixty-four 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 218421420648480000 cubic inches would be around 50186.1 feet tall.
Recreational maths with 218421420648480000
- 218421420648480000 backwards is 000084846024124812
- 218421420648480000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 218421420648480000's digits is 54
- More coming soon!
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"Number 218421420648480000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 218421420648480000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/218421420648480000/
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The information we have on file for 218421420648480000 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!
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