422164301328000
422,164,301,328,000 is an even composite number composed of seven prime numbers multiplied together.
422164301328000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand and ninety-six divisors.
Prime factorization of 422164301328000:
27 × 33 × 53 × 7 × 113 × 53 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 11 × 53 × 1979)See below for interesting mathematical facts about the number 422164301328000 from the Numbermatics database.
Names of 422164301328000
- Cardinal: 422164301328000 can be written as Four hundred twenty-two trillion, one hundred sixty-four billion, three hundred one million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.22164301328 × 1014
Factors of 422164301328000
Divisors of 422164301328000
- Number of divisors d(n): 4096
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 32 33 35 36 40 42 44 45 48 50 53 54 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 99 100 105 106 108 110 112 120 121 125 126 128 132 135 140 144 150 154 159 160 165 168 175 176 180 189 192 198 200 210 212 216 220 224 225 231 240 242 250 252 264 265 270 275 280 288 297 300 308 315 318 320 330 336 350 352 360 363 371 375 378 384 385 396 400 420 424 432 440 448 450 462 477 480 484 495 500 504 525 528 530 540 550 560 576 583 594 600 605 616 630 636 640 660 672 675 693 700 704 720 726 742 750 756 770 792 795 800 825 840 847 848 864 875 880 896 900 924 945 954 960 968 990 1000 1008 1050 1056 1060 1080 1089 1100 1113 1120 1125 1152 1155 1166 1188 1200 1210 1232 1260 1272 1320 1325 1331 1344 1350 1375 1386 1400 1408 1431 1440 1452 1484 1485 1500 1512 1540 1575 1584 1590 1600 1650 1680 1694 1696 1728 1749 1750 1760 1800 1815 1848 1855 1890 1908 1920 1925 1936 1979 1980 2000 2016 2079 2100 2112 2120 2160 2178 2200 2226 2240 2250 2310 2332 2376 2385 2400 2420 2464 2475 2520 2541 2544 2625 2640 2650 2662 2688 2700 2750 2772 2800 2862 2880 2904 2915 2968 2970 3000 3024 3025 3080 3150 3168 3180 3200 3267 3300 3339 3360 3375 3388 3392 3456 3465 3498 3500 3520 3600 3630 3696 3710 3780 3816 3850 3872 3958 3960 3975 3993 4000 4032 4081 4125 4158 4200 4224 4235 4240 4320 4356 4400 4452 4480 4500 4620 4664 4725 4752 4770 4800 4840 4928 4950 5040 5082 5088 5247 5250 5280 5300 5324 5400 5445 5500 5544 5565 5600 5724 5760 5775 5808 5830 5936 5937 5940 6000 6048 6050 6160 6300 6336 6360 6413 6534 6600 6625 6655 6678 6720 6750 6776 6784 6930 6996 7000 7040 7155 7200 7260 7392 7420 7425 7560 7623 7632 7700 7744 7875 7916 7920 7950 7986 8000 8064 8162 8250 8316 8400 8470 8480 8640 8712 8745 8800 8904 9000 9075 9240 9275 9317 9328 9450 9504 9540 9600 9625 9680 9856 9895 9900 10017 10080 10164 10176 10395 10494 10500 10560 10600 10648 10800 10890 11000 11088 11130 11200 11448 11550 11616 11660 11872 11874 11880 11925 11979 12000 12096 12100 12243 12320 12375 12600 12672 12705 12720 12826 13068 13200 13250 13310 13356 13440 13500 13552 13853 13860 13992 14000 14310 14400 14520 14575 14784 14840 14850 15120 15125 15246 15264 15400 15488 15741 15750 15832 15840 15900 15972 16000 16324 16335 16500 16632 16695 16800 16940 16960 17280 17325 17424 17490 17600 17808 17811 18000 18150 18480 18550 18634 18656 18900 19008 19080 19239 19250 19360 19790 19800 19875 19965 20034 20160 20328 20352 20405 20790 20988 21000 21120 21175 21200 21296 21600 21769 21780 22000 22176 22260 22400 22869 22896 23100 23232 23320 23625 23744 23748 23760 23850 23958 24000 24192 24200 24486 24640 24750 25200 25410 25440 25652 26136 26235 26400 26500 26620 26712 27000 27104 27225 27706 27720 27825 27951 27984 28000 28620 28800 28875 29040 29150 29568 29680 29685 29700 30240 30250 30492 30528 30800 31482 31500 31664 31680 31800 31944 32065 32648 32670 33000 33264 33275 33390 33600 33880 33920 34650 34848 34980 35200 35616 35622 35775 35937 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46907144592000 52770537666000 60309185904000 70360716888000 84432860265600 105541075332000 140721433776000 211082150664000 422164301328000
- Sum of all divisors σ(n): 1992575490048000
- Sum of proper divisors (its aliquot sum) s(n): 1570411188720000
- 422164301328000 is an abundant number, because the sum of its proper divisors (1570411188720000) is greater than itself. Its abundance is 1148246887392000
Bases of 422164301328000
- Binary: 10111111111110100110010010011011110101110100000002
- Hexadecimal: 0x17FF4C937AE80
- Base-36: 45N7LP1UO0
Squares and roots of 422164301328000
- 422164301328000 squared (4221643013280002) is 178222697315758382563584000000
- 422164301328000 cubed (4221643013280003) is 75239260493098758579414776895639552000000000
-
The
square root of 422164301328000 is 20546637.2267580565 -
The
cube root of 422164301328000 is 75017.1398651019
Scales and comparisons
How big is 422164301328000?- 422,164,301,328,000 seconds is equal to 13,423,518 years, 49 weeks.
-
To count from 1 to 422,164,301,328,000 would take you about thirty-three million, five hundred fifty-eight thousand, seven hundred ninety-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 422164301328000 cubic inches would be around 6251.4 feet tall.
Recreational maths with 422164301328000
- 422164301328000 backwards is 000823103461224
- 422164301328000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 422164301328000's digits is 36
- More coming soon!
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MLA style:
"Number 422164301328000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 422164301328000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/422164301328000/
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Numbermatics. 2024. "Number 422164301328000 - Facts about the integer". https://numbermatics.com/n/422164301328000/
The information we have on file for 422164301328000 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 422164301328000, math, Factors of 422164301328000, curriculum, school, college, exams, university, Prime factorization of 422164301328000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-two trillion, one hundred sixty-four billion, three hundred one million, three hundred twenty-eight thousand.