428320752384000
428,320,752,384,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 428320752384000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
428320752384000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 428320752384000:
211 × 3 × 53 × 7 × 23 × 31 × 131 × 853
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 23 × 31 × 131 × 853)See below for interesting mathematical facts about the number 428320752384000 from the Numbermatics database.
Names of 428320752384000
- Cardinal: 428320752384000 can be written as Four hundred twenty-eight trillion, three hundred twenty billion, seven hundred fifty-two million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 4.28320752384 × 1014
Factors of 428320752384000
Divisors of 428320752384000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 31 32 35 40 42 46 48 50 56 60 62 64 69 70 75 80 84 92 93 96 100 105 112 115 120 124 125 128 131 138 140 150 155 160 161 168 175 184 186 192 200 210 217 224 230 240 248 250 256 262 276 280 300 310 320 322 336 345 350 368 372 375 384 393 400 420 434 448 460 465 480 483 496 500 512 524 525 552 560 575 600 620 640 644 651 655 672 690 700 713 736 744 750 768 775 786 800 805 840 853 868 875 896 917 920 930 960 966 992 1000 1024 1048 1050 1085 1104 1120 1150 1200 1240 1280 1288 1302 1310 1344 1380 1400 1426 1472 1488 1500 1536 1550 1572 1600 1610 1680 1706 1725 1736 1750 1792 1834 1840 1860 1920 1932 1965 1984 2000 2048 2096 2100 2139 2170 2208 2240 2300 2325 2400 2415 2480 2559 2560 2576 2604 2620 2625 2688 2751 2760 2800 2852 2875 2944 2976 3000 3013 3072 3100 3144 3200 3220 3255 3275 3360 3412 3450 3472 3500 3565 3584 3668 3680 3720 3840 3864 3875 3930 3968 4000 4025 4061 4192 4200 4265 4278 4340 4416 4480 4585 4600 4650 4800 4830 4960 4991 5118 5120 5152 5208 5240 5250 5376 5425 5502 5520 5600 5704 5750 5888 5952 5971 6000 6026 6144 6200 6288 6400 6440 6510 6550 6720 6824 6900 6944 7000 7130 7168 7336 7360 7440 7680 7728 7750 7860 7936 8000 8050 8122 8384 8400 8530 8556 8625 8680 8832 8960 9039 9170 9200 9300 9600 9660 9825 9920 9982 10236 10240 10304 10416 10480 10500 10695 10752 10850 11004 11040 11200 11408 11500 11625 11776 11904 11942 12000 12052 12075 12183 12400 12576 12795 12800 12880 13020 13100 13440 13648 13755 13800 13888 14000 14260 14336 14672 14720 14880 14973 15065 15360 15456 15500 15720 15872 16000 16100 16244 16275 16375 16768 16800 17060 17112 17250 17360 17664 17825 17913 17920 18078 18340 18400 18600 19200 19320 19619 19650 19840 19964 20125 20305 20472 20608 20832 20960 21000 21091 21325 21390 21504 21700 22008 22080 22400 22816 22925 23000 23250 23552 23808 23884 24000 24104 24150 24366 24800 24955 25152 25590 25600 25760 26040 26200 26443 26880 27125 27296 27510 27600 27776 28000 28427 28520 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1241509427200 1274764144000 1330188672000 1338502351200 1381679846400 1427735841280 1529716972800 1551886784000 1634812032000 1673127939000 1713283009536 1727099808000 1784669801600 1862264140800 1912146216000 1973828352000 2039622630400 2141603761920 2230837252000 2302799744000 2327830176000 2447547156480 2549528288000 2660377344000 2677004702400 2763359692800 2855471682560 3059433945600 3103773568000 3269624064000 3346255878000 3426566019072 3454199616000 3569339603200 3724528281600 3824292432000 4079245260800 4283207523840 4461674504000 4605599488000 4655660352000 5099056576000 5354009404800 5710943365120 6118867891200 6207547136000 6692511756000 6908399232000 7138679206400 7648584864000 8566415047680 8923349008000 9311320704000 10198113152000 10708018809600 12237735782400 13385023512000 13816798464000 14277358412800 15297169728000 17132830095360 17846698016000 18622641408000 20396226304000 21416037619200 26770047024000 28554716825600 30594339456000 35693396032000 42832075238400 53540094048000 61188678912000 71386792064000 85664150476800 107080188096000 142773584128000 214160376192000 428320752384000
- Sum of all divisors σ(n): 1769789053992960
- Sum of proper divisors (its aliquot sum) s(n): 1341468301608960
- 428320752384000 is an abundant number, because the sum of its proper divisors (1341468301608960) is greater than itself. Its abundance is 913147549224960
Bases of 428320752384000
- Binary: 11000010110001110001100100100101110111000000000002
- Hexadecimal: 0x1858E324BB800
- Base-36: 47TRU51ZPC
Squares and roots of 428320752384000
- 428320752384000 squared (4283207523840002) is 183458666922795841683456000000
- 428320752384000 cubed (4283207523840003) is 78579154247737568950684423085359104000000000
-
The
square root of 428320752384000 is 20695911.4895672087 -
The
cube root of 428320752384000 is 75380.0415049651
Scales and comparisons
How big is 428320752384000?- 428,320,752,384,000 seconds is equal to 13,619,275 years, 2 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 428,320,752,384,000 would take you about thirty-four million, forty-eight thousand, one hundred eighty-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 428320752384000 cubic inches would be around 6281.7 feet tall.
Recreational maths with 428320752384000
- 428320752384000 backwards is 000483257023824
- 428320752384000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428320752384000's digits is 48
- More coming soon!
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Cite this page
MLA style:
"Number 428320752384000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 428320752384000 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/428320752384000/
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The information we have on file for 428320752384000 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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