428422125120000
428,422,125,120,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428422125120000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
428422125120000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 428422125120000:
29 × 3 × 54 × 112 × 113 × 127 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 11 × 11 × 113 × 127 × 257)See below for interesting mathematical facts about the number 428422125120000 from the Numbermatics database.
Names of 428422125120000
- Cardinal: 428422125120000 can be written as Four hundred twenty-eight trillion, four hundred twenty-two billion, one hundred twenty-five million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 4.2842212512 × 1014
Factors of 428422125120000
Divisors of 428422125120000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 113 120 121 125 127 128 132 150 160 165 176 192 200 220 226 240 242 250 254 256 257 264 275 300 320 330 339 352 363 375 381 384 400 440 452 480 484 500 508 512 514 528 550 565 600 605 625 635 640 660 678 704 726 750 762 768 771 800 825 880 904 960 968 1000 1016 1028 1056 1100 1130 1200 1210 1243 1250 1270 1280 1285 1320 1356 1375 1397 1408 1452 1500 1524 1536 1542 1600 1650 1695 1760 1808 1815 1875 1905 1920 1936 2000 2032 2056 2112 2200 2260 2400 2420 2486 2500 2540 2560 2570 2640 2712 2750 2794 2816 2825 2827 2904 3000 3025 3048 3084 3175 3200 3300 3390 3520 3616 3630 3729 3750 3810 3840 3855 3872 4000 4064 4112 4125 4191 4224 4400 4520 4800 4840 4972 5000 5080 5140 5280 5424 5500 5588 5632 5650 5654 5808 6000 6050 6096 6168 6215 6350 6400 6425 6600 6780 6875 6985 7040 7232 7260 7458 7500 7620 7680 7710 7744 8000 8128 8224 8250 8382 8448 8475 8481 8800 9040 9075 9525 9600 9680 9944 10000 10160 10280 10560 10848 11000 11176 11300 11308 11616 12000 12100 12192 12336 12430 12700 12800 12850 13200 13560 13673 13750 13970 14080 14125 14135 14351 14464 14520 14916 15000 15125 15240 15367 15420 15488 15875 16000 16256 16448 16500 16764 16896 16950 16962 17600 18080 18150 18645 19050 19200 19275 19360 19888 20000 20320 20560 20625 20955 21120 21696 22000 22352 22600 22616 23232 24000 24200 24384 24672 24860 25400 25700 26400 27120 27346 27500 27940 28160 28250 28270 28702 28928 29040 29041 29832 30000 30250 30480 30734 30840 30976 31075 31097 31750 32000 32125 32512 32639 32896 33000 33528 33900 33924 34925 35200 36160 36300 37290 38100 38400 38550 38720 39776 40000 40640 41019 41120 41250 41910 42240 42375 42405 43053 43392 44000 44704 45200 45232 45375 46101 46464 47625 48000 48400 48768 49344 49720 50800 51400 52800 54240 54692 55000 55880 56500 56540 57404 57856 58080 58082 59664 60000 60500 60960 61468 61680 61952 62150 62194 63500 64000 64250 65024 65278 65792 66000 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- Sum of all divisors σ(n): 1600194696984576
- Sum of proper divisors (its aliquot sum) s(n): 1171772571864576
- 428422125120000 is an abundant number, because the sum of its proper divisors (1171772571864576) is greater than itself. Its abundance is 743350446744576
Bases of 428422125120000
- Binary: 11000010110100101110011001001010011101010000000002
- Hexadecimal: 0x185A5CC94EA00
- Base-36: 47V2ENRJEO
Squares and roots of 428422125120000
- 428422125120000 squared (4284221251200002) is 183545517292336935014400000000
- 428422125120000 cubed (4284221251200003) is 78634960574632697989936585801728000000000000
-
The
square root of 428422125120000 is 20698360.4452140121 -
The
cube root of 428422125120000 is 75385.9878883977
Scales and comparisons
How big is 428422125120000?- 428,422,125,120,000 seconds is equal to 13,622,498 years, 19 weeks, 6 days, 2 hours, 40 minutes.
-
To count from 1 to 428,422,125,120,000 would take you about thirty-four million, fifty-six thousand, two hundred forty-five 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 428422125120000 cubic inches would be around 6282.2 feet tall.
Recreational maths with 428422125120000
- 428422125120000 backwards is 000021521224824
- 428422125120000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428422125120000's digits is 33
- More coming soon!
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The information we have on file for 428422125120000 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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