428396589264000000
428,396,589,264,000,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 428396589264000000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1848 divisors.
428396589264000000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred forty-eight divisors.
Prime factorization of 428396589264000000:
210 × 3 × 56 × 73 × 51012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 5101 × 5101)See below for interesting mathematical facts about the number 428396589264000000 from the Numbermatics database.
Names of 428396589264000000
- Cardinal: 428396589264000000 can be written as Four hundred twenty-eight quadrillion, three hundred ninety-six trillion, five hundred eighty-nine billion, two hundred sixty-four million.
Scientific notation
- Scientific notation: 4.28396589264 × 1017
Factors of 428396589264000000
Divisors of 428396589264000000
- Number of divisors d(n): 1848
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 140 147 150 160 168 175 192 196 200 210 224 240 245 250 256 280 294 300 320 336 343 350 375 384 392 400 420 448 480 490 500 512 525 560 588 600 625 640 672 686 700 735 750 768 784 800 840 875 896 960 980 1000 1024 1029 1050 1120 1176 1200 1225 1250 1280 1344 1372 1400 1470 1500 1536 1568 1600 1680 1715 1750 1792 1875 1920 1960 2000 2058 2100 2240 2352 2400 2450 2500 2560 2625 2688 2744 2800 2940 3000 3072 3125 3136 3200 3360 3430 3500 3584 3675 3750 3840 3920 4000 4116 4200 4375 4480 4704 4800 4900 5000 5101 5120 5145 5250 5376 5488 5600 5880 6000 6125 6250 6272 6400 6720 6860 7000 7168 7350 7500 7680 7840 8000 8232 8400 8575 8750 8960 9375 9408 9600 9800 10000 10202 10290 10500 10752 10976 11200 11760 12000 12250 12500 12544 12800 13125 13440 13720 14000 14700 15000 15303 15360 15625 15680 16000 16464 16800 17150 17500 17920 18375 18750 18816 19200 19600 20000 20404 20580 21000 21504 21875 21952 22400 23520 24000 24500 25000 25088 25505 25600 25725 26250 26880 27440 28000 29400 30000 30606 30625 31250 31360 32000 32928 33600 34300 35000 35707 35840 36750 37500 37632 38400 39200 40000 40808 41160 42000 42875 43750 43904 44800 46875 47040 48000 49000 50000 50176 51010 51450 52500 53760 54880 56000 58800 60000 61212 61250 62500 62720 64000 65625 65856 67200 68600 70000 71414 73500 75000 75264 76515 76800 78400 80000 81616 82320 84000 85750 87500 87808 89600 91875 93750 94080 96000 98000 100000 102020 102900 105000 107121 107520 109375 109760 112000 117600 120000 122424 122500 125000 125440 127525 128000 128625 131250 131712 134400 137200 140000 142828 147000 150000 150528 153030 153125 156800 160000 163232 164640 168000 171500 175000 175616 178535 179200 183750 187500 188160 192000 196000 200000 204040 205800 210000 214242 214375 218750 219520 224000 235200 240000 244848 245000 249949 250000 250880 255050 257250 262500 263424 268800 274400 280000 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53549573658000000 61199512752000000 71399431544000000 85679317852800000 107099147316000000 142798863088000000 214198294632000000 428396589264000000
- Sum of all divisors σ(n): 1664784791763153600
- Sum of proper divisors (its aliquot sum) s(n): 1236388202499153600
- 428396589264000000 is an abundant number, because the sum of its proper divisors (1236388202499153600) is greater than itself. Its abundance is 807991613235153600
Bases of 428396589264000000
- Binary: 101111100011111100001101101100111100001000111010100000000002
- Hexadecimal: 0x5F1F86D9E11D400
- Base-36: 3965X07RMMTC
Squares and roots of 428396589264000000
- 428396589264000000 squared (4283965892640000002) is 183523637693028320061696000000000000
- 428396589264000000 cubed (4283965892640000003) is 78620900437015401745790312451231744000000000000000000
-
The
square root of 428396589264000000 is 654520121.3591527165 -
The
cube root of 428396589264000000 is 753844.9007905911
Scales and comparisons
How big is 428396589264000000?- 428,396,589,264,000,000 seconds is equal to 13,621,686,420 years, 48 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 428,396,589,264,000,000 would take you about forty billion, eight hundred sixty-five million, fifty-nine thousand, two hundred sixty-two 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 428396589264000000 cubic inches would be around 62820.4 feet tall.
Recreational maths with 428396589264000000
- 428396589264000000 backwards is 000000462985693824
- The number of decimal digits it has is: 18
- The sum of 428396589264000000's digits is 66
- More coming soon!
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Numbermatics. (2024). Number 428396589264000000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/428396589264000000/
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The information we have on file for 428396589264000000 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 428396589264000000, math, Factors of 428396589264000000, curriculum, school, college, exams, university, Prime factorization of 428396589264000000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight quadrillion, three hundred ninety-six trillion, five hundred eighty-nine billion, two hundred sixty-four million.