428589233811200000
428,589,233,811,200,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428589233811200000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
428589233811200000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 428589233811200000:
211 × 55 × 7 × 11 × 31 × 1613 × 17393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 7 × 11 × 31 × 1613 × 17393)See below for interesting mathematical facts about the number 428589233811200000 from the Numbermatics database.
Names of 428589233811200000
- Cardinal: 428589233811200000 can be written as Four hundred twenty-eight quadrillion, five hundred eighty-nine trillion, two hundred thirty-three billion, eight hundred eleven million, two hundred thousand.
Scientific notation
- Scientific notation: 4.285892338112 × 1017
Factors of 428589233811200000
Divisors of 428589233811200000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 31 32 35 40 44 50 55 56 62 64 70 77 80 88 100 110 112 124 125 128 140 154 155 160 175 176 200 217 220 224 248 250 256 275 280 308 310 320 341 350 352 385 400 434 440 448 496 500 512 550 560 616 620 625 640 682 700 704 770 775 800 868 875 880 896 992 1000 1024 1085 1100 1120 1232 1240 1250 1280 1364 1375 1400 1408 1540 1550 1600 1613 1705 1736 1750 1760 1792 1925 1984 2000 2048 2170 2200 2240 2387 2464 2480 2500 2560 2728 2750 2800 2816 3080 3100 3125 3200 3226 3410 3472 3500 3520 3584 3850 3875 3968 4000 4340 4375 4400 4480 4774 4928 4960 5000 5120 5425 5456 5500 5600 5632 6160 6200 6250 6400 6452 6820 6875 6944 7000 7040 7168 7700 7750 7936 8000 8065 8525 8680 8750 8800 8960 9548 9625 9856 9920 10000 10240 10850 10912 11000 11200 11264 11291 11935 12320 12400 12500 12800 12904 13640 13750 13888 14000 14080 14336 15400 15500 15872 16000 16130 17050 17360 17393 17500 17600 17743 17920 19096 19250 19375 19712 19840 20000 21700 21824 21875 22000 22400 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1558506304768000 1674176694575000 1714356935244800 1728182394400000 1913344793800000 1948132880960000 1975065593600000 2142946169056000 2435166101200000 2449081336064000 2678682711320000 2765091831040000 2783046972800000 3061351670080000 3348353389150000 3428713870489600 3456364788800000 3826689587600000 3896265761920000 4285892338112000 4870332202400000 5357365422640000 5566093945600000 6122703340160000 6696706778300000 6912729577600000 7653379175200000 7792531523840000 8571784676224000 9740664404800000 10714730845280000 12245406680320000 13393413556600000 13825459155200000 15306758350400000 17143569352448000 19481328809600000 21429461690560000 26786827113200000 30613516700800000 38962657619200000 42858923381120000 53573654226400000 61227033401600000 85717846762240000 107147308452800000 214294616905600000 428589233811200000
- Sum of all divisors σ(n): 1379463940897136640
- Sum of proper divisors (its aliquot sum) s(n): 950874707085936640
- 428589233811200000 is an abundant number, because the sum of its proper divisors (950874707085936640) is greater than itself. Its abundance is 522285473274736640
Bases of 428589233811200000
- Binary: 101111100101010011110100011001010111101111110011000000000002
- Hexadecimal: 0x5F2A7A32BDF9800
- Base-36: 39827BWD3HFK
Squares and roots of 428589233811200000
- 428589233811200000 squared (4285892338112000002) is 183688731338871461277245440000000000
- 428589233811200000 cubed (4285892338112000003) is 78727012624278281536496352870449020928000000000000000
-
The
square root of 428589233811200000 is 654667269.5432390409 -
The
cube root of 428589233811200000 is 753957.8820406473
Scales and comparisons
How big is 428589233811200000?- 428,589,233,811,200,000 seconds is equal to 13,627,811,921 years, 33 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 428,589,233,811,200,000 would take you about forty billion, eight hundred eighty-three million, four hundred thirty-five thousand, seven 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 428589233811200000 cubic inches would be around 62829.8 feet tall.
Recreational maths with 428589233811200000
- 428589233811200000 backwards is 000002118332985824
- 428589233811200000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 428589233811200000's digits is 56
- More coming soon!
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Numbermatics. (2024). Number 428589233811200000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/428589233811200000/
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The information we have on file for 428589233811200000 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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