421414312386816000
421,414,312,386,816,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 421414312386816000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3648 divisors.
421414312386816000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, six hundred forty-eight divisors.
Prime factorization of 421414312386816000:
211 × 318 × 53 × 7 × 607
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 607)See below for interesting mathematical facts about the number 421414312386816000 from the Numbermatics database.
Names of 421414312386816000
- Cardinal: 421414312386816000 can be written as Four hundred twenty-one quadrillion, four hundred fourteen trillion, three hundred twelve billion, three hundred eighty-six million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 4.21414312386816 × 1017
Factors of 421414312386816000
Divisors of 421414312386816000
- Number of divisors d(n): 3648
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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 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 243 250 252 256 270 280 288 300 315 320 324 336 350 360 375 378 384 400 405 420 432 448 450 480 486 500 504 512 525 540 560 567 576 600 607 630 640 648 672 675 700 720 729 750 756 768 800 810 840 864 875 896 900 945 960 972 1000 1008 1024 1050 1080 1120 1125 1134 1152 1200 1214 1215 1260 1280 1296 1344 1350 1400 1440 1458 1500 1512 1536 1575 1600 1620 1680 1701 1728 1750 1792 1800 1821 1890 1920 1944 2000 2016 2025 2048 2100 2160 2187 2240 2250 2268 2304 2400 2428 2430 2520 2560 2592 2625 2688 2700 2800 2835 2880 2916 3000 3024 3035 3072 3150 3200 3240 3360 3375 3402 3456 3500 3584 3600 3642 3645 3780 3840 3888 4000 4032 4050 4200 4249 4320 4374 4480 4500 4536 4608 4725 4800 4856 4860 5040 5103 5120 5184 5250 5376 5400 5463 5600 5670 5760 5832 6000 6048 6070 6075 6144 6300 6400 6480 6561 6720 6750 6804 6912 7000 7168 7200 7284 7290 7560 7680 7776 7875 8000 8064 8100 8400 8498 8505 8640 8748 8960 9000 9072 9105 9216 9450 9600 9712 9720 10080 10125 10206 10240 10368 10500 10752 10800 10926 10935 11200 11340 11520 11664 12000 12096 12140 12150 12600 12747 12800 12960 13122 13440 13500 13608 13824 14000 14175 14336 14400 14568 14580 15120 15175 15309 15360 15552 15750 16000 16128 16200 16389 16800 16996 17010 17280 17496 17920 18000 18144 18210 18225 18432 18900 19200 19424 19440 19683 20160 20250 20412 20736 21000 21245 21504 21600 21852 21870 22400 22680 23040 23328 23625 24000 24192 24280 24300 25200 25494 25515 25600 25920 26244 26880 27000 27216 27315 27648 28000 28350 28800 29136 29160 30240 30350 30375 30618 30720 31104 31500 32000 32256 32400 32778 32805 33600 33992 34020 34560 34992 35840 36000 36288 36420 36450 37800 38241 38400 38848 38880 39366 40320 40500 40824 41472 42000 42490 42525 43008 43200 43704 43740 44800 45360 45525 45927 46080 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4682381248742400 5016837052224000 5202645831936000 5267678904835200 5618857498490880 5852976560928000 6020204462668800 6584598631044000 6689116069632000 7023571873113600 7525255578336000 7803968747904000 8428286247736320 8779464841392000 9364762497484800 10033674104448000 10535357809670400 11705953121856000 12040408925337600 13169197262088000 14047143746227200 15050511156672000 15607937495808000 16856572495472640 17558929682784000 20067348208896000 21070715619340800 23411906243712000 26338394524176000 28094287492454400 30101022313344000 35117859365568000 42141431238681600 46823812487424000 52676789048352000 60202044626688000 70235718731136000 84282862477363200 105353578096704000 140471437462272000 210707156193408000 421414312386816000
- Sum of all divisors σ(n): 1805701315135011840
- Sum of proper divisors (its aliquot sum) s(n): 1384287002748195840
- 421414312386816000 is an abundant number, because the sum of its proper divisors (1384287002748195840) is greater than itself. Its abundance is 962872690361379840
Bases of 421414312386816000
- Binary: 101110110010010101000010101100110010001010011101000000000002
- Hexadecimal: 0x5D92A159914E800
- Base-36: 379EWMI00000
Squares and roots of 421414312386816000
- 421414312386816000 squared (4214143123868160002) is 177590022684452941170810617856000000
- 421414312386816000 cubed (4214143123868160003) is 74838977296327791514582979898009435028586496000000000
-
The
square root of 421414312386816000 is 649164318.4793939365 -
The
cube root of 421414312386816000 is 749726.9005005495
Scales and comparisons
How big is 421414312386816000?- 421,414,312,386,816,000 seconds is equal to 13,399,671,613 years, 44 weeks.
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To count from 1 to 421,414,312,386,816,000 would take you about forty billion, one hundred ninety-nine million, fourteen thousand, eight hundred forty-one 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 421414312386816000 cubic inches would be around 62477.2 feet tall.
Recreational maths with 421414312386816000
- 421414312386816000 backwards is 000618683213414124
- 421414312386816000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 421414312386816000's digits is 54
- More coming soon!
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The information we have on file for 421414312386816000 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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