428152804128000
428,152,804,128,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 428152804128000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4320 divisors.
428152804128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 428152804128000:
28 × 39 × 53 × 7 × 192 × 269
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 19 × 19 × 269)See below for interesting mathematical facts about the number 428152804128000 from the Numbermatics database.
Names of 428152804128000
- Cardinal: 428152804128000 can be written as Four hundred twenty-eight trillion, one hundred fifty-two billion, eight hundred four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.28152804128 × 1014
Factors of 428152804128000
Divisors of 428152804128000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 50 54 56 57 60 63 64 70 72 75 76 80 81 84 90 95 96 100 105 108 112 114 120 125 126 128 133 135 140 144 150 152 160 162 168 171 175 180 189 190 192 200 210 216 224 225 228 240 243 250 252 256 266 269 270 280 285 288 300 304 315 320 324 336 342 350 360 361 375 378 380 384 399 400 405 420 432 448 450 456 475 480 486 500 504 513 525 532 538 540 560 567 570 576 600 608 630 640 648 665 672 675 684 700 720 722 729 750 756 760 768 798 800 807 810 840 855 864 875 896 900 912 945 950 960 972 1000 1008 1026 1050 1064 1076 1080 1083 1120 1125 1134 1140 1152 1197 1200 1215 1216 1260 1280 1296 1330 1344 1345 1350 1368 1400 1425 1440 1444 1458 1500 1512 1520 1539 1575 1596 1600 1614 1620 1680 1701 1710 1728 1750 1792 1800 1805 1824 1883 1890 1900 1920 1944 1995 2000 2016 2025 2052 2100 2128 2152 2160 2166 2187 2240 2250 2268 2280 2304 2375 2394 2400 2421 2430 2432 2520 2527 2565 2592 2625 2660 2688 2690 2700 2736 2800 2835 2850 2880 2888 2916 3000 3024 3040 3078 3150 3192 3200 3228 3240 3249 3325 3360 3375 3402 3420 3456 3500 3591 3600 3610 3645 3648 3766 3780 3800 3840 3888 3990 4000 4032 4035 4050 4104 4200 4256 4275 4304 4320 4332 4374 4480 4500 4536 4560 4617 4725 4750 4788 4800 4842 4860 4864 5040 5054 5103 5111 5130 5184 5250 5320 5376 5380 5400 5415 5472 5600 5649 5670 5700 5760 5776 5832 5985 6000 6048 6075 6080 6156 6300 6384 6400 6456 6480 6498 6561 6650 6720 6725 6750 6804 6840 6912 7000 7125 7182 7200 7220 7263 7290 7296 7532 7560 7581 7600 7695 7776 7875 7980 8000 8064 8070 8100 8208 8400 8505 8512 8550 8608 8640 8664 8748 8960 9000 9025 9072 9120 9234 9415 9450 9500 9576 9600 9684 9720 9747 9975 10080 10108 10125 10206 10222 10260 10368 10500 10640 10760 10773 10800 10830 10935 10944 11200 11298 11340 11400 11520 11552 11664 11970 12000 12096 12105 12150 12160 12312 12600 12635 12768 12825 12912 12960 12996 13122 13300 13440 13450 13500 13608 13680 13851 14000 14175 14250 14364 14400 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47572533792000 53519100516000 61164686304000 71358800688000 85630560825600 107038201032000 142717601376000 214076402064000 428152804128000
- Sum of all divisors σ(n): 1936865315024640
- Sum of proper divisors (its aliquot sum) s(n): 1508712510896640
- 428152804128000 is an abundant number, because the sum of its proper divisors (1508712510896640) is greater than itself. Its abundance is 1080559706768640
Bases of 428152804128000
- Binary: 11000010101100111000101111100110010110101000000002
- Hexadecimal: 0x1856717CCB500
- Base-36: 47RMOL0000
Squares and roots of 428152804128000
- 428152804128000 squared (4281528041280002) is 183314823682669533840384000000
- 428152804128000 cubed (4281528041280003) is 78486755797964864550514998368305152000000000
-
The
square root of 428152804128000 is 20691853.5691706459 -
The
cube root of 428152804128000 is 75370.1878291161
Scales and comparisons
How big is 428152804128000?- 428,152,804,128,000 seconds is equal to 13,613,934 years, 42 weeks.
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To count from 1 to 428,152,804,128,000 would take you about thirty-four million, thirty-four thousand, eight hundred thirty-seven 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 428152804128000 cubic inches would be around 6280.8 feet tall.
Recreational maths with 428152804128000
- 428152804128000 backwards is 000821408251824
- 428152804128000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428152804128000's digits is 45
- More coming soon!
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The information we have on file for 428152804128000 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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