428401290470400000
428,401,290,470,400,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428401290470400000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4032 divisors.
428401290470400000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 428401290470400000:
213 × 32 × 55 × 13 × 181 × 421 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 181 × 421 × 1877)See below for interesting mathematical facts about the number 428401290470400000 from the Numbermatics database.
Names of 428401290470400000
- Cardinal: 428401290470400000 can be written as Four hundred twenty-eight quadrillion, four hundred one trillion, two hundred ninety billion, four hundred seventy million, four hundred thousand.
Scientific notation
- Scientific notation: 4.284012904704 × 1017
Factors of 428401290470400000
Divisors of 428401290470400000
- Number of divisors d(n): 4032
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 156 160 180 181 192 195 200 208 225 234 240 250 256 260 288 300 312 320 325 360 362 375 384 390 400 416 421 450 468 480 500 512 520 543 576 585 600 624 625 640 650 720 724 750 768 780 800 832 842 900 905 936 960 975 1000 1024 1040 1086 1125 1152 1170 1200 1248 1250 1263 1280 1300 1440 1448 1500 1536 1560 1600 1625 1629 1664 1684 1800 1810 1872 1875 1877 1920 1950 2000 2048 2080 2105 2172 2250 2304 2340 2353 2400 2496 2500 2526 2560 2600 2715 2880 2896 2925 3000 3072 3120 3125 3200 3250 3258 3328 3368 3600 3620 3744 3750 3754 3789 3840 3900 4000 4096 4160 4210 4344 4500 4525 4608 4680 4706 4800 4875 4992 5000 5052 5120 5200 5430 5473 5625 5631 5760 5792 5850 6000 6144 6240 6250 6315 6400 6500 6516 6656 6736 7059 7200 7240 7488 7500 7508 7578 7680 7800 8000 8125 8145 8192 8320 8420 8688 9000 9050 9216 9360 9375 9385 9412 9600 9750 9984 10000 10104 10240 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3661549491200000 4119243177600000 4284012904704000 4462513442400000 4760014338560000 5355016130880000 5492324236800000 5712017206272000 5950017923200000 6590789084160000 6693770163600000 7140021507840000 8238486355200000 8568025809408000 8925026884800000 9520028677120000 10710032261760000 10984648473600000 11900035846400000 13387540327200000 14280043015680000 16476972710400000 17136051618816000 17850053769600000 21420064523520000 23800071692800000 26775080654400000 28560086031360000 32953945420800000 35700107539200000 42840129047040000 47600143385600000 53550161308800000 71400215078400000 85680258094080000 107100322617600000 142800430156800000 214200645235200000 428401290470400000
- Sum of all divisors σ(n): 1679873136073528032
- Sum of proper divisors (its aliquot sum) s(n): 1251471845603128032
- 428401290470400000 is an abundant number, because the sum of its proper divisors (1251471845603128032) is greater than itself. Its abundance is 823070555132728032
Bases of 428401290470400000
- Binary: 101111100011111110010110100001100111100111010100000000000002
- Hexadecimal: 0x5F1FCB433CEA000
- Base-36: 3967KZX4JCW0
Squares and roots of 428401290470400000
- 428401290470400000 squared (4284012904704000002) is 183527665676704033853276160000000000
- 428401290470400000 cubed (4284012904704000003) is 78623488812920144985268755194827505664000000000000000
-
The
square root of 428401290470400000 is 654523712.6876305923 -
The
cube root of 428401290470400000 is 753847.6583347277
Scales and comparisons
How big is 428401290470400000?- 428,401,290,470,400,000 seconds is equal to 13,621,835,904 years, 39 weeks, 4 days, 8 hours.
-
To count from 1 to 428,401,290,470,400,000 would take you about forty billion, eight hundred sixty-five million, five hundred seven thousand, seven hundred fourteen 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 428401290470400000 cubic inches would be around 62820.6 feet tall.
Recreational maths with 428401290470400000
- 428401290470400000 backwards is 000004074092104824
- 428401290470400000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 428401290470400000's digits is 45
- More coming soon!
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The information we have on file for 428401290470400000 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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