422042838048000
422,042,838,048,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 422042838048000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4320 divisors.
422042838048000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 422042838048000:
28 × 34 × 53 × 13 × 292 × 53 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 29 × 29 × 53 × 281)See below for interesting mathematical facts about the number 422042838048000 from the Numbermatics database.
Names of 422042838048000
- Cardinal: 422042838048000 can be written as Four hundred twenty-two trillion, forty-two billion, eight hundred thirty-eight million, forty-eight thousand.
Scientific notation
- Scientific notation: 4.22042838048 × 1014
Factors of 422042838048000
Divisors of 422042838048000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 29 30 32 36 39 40 45 48 50 52 53 54 58 60 64 65 72 75 78 80 81 87 90 96 100 104 106 108 116 117 120 125 128 130 135 144 145 150 156 159 160 162 174 180 192 195 200 208 212 216 225 232 234 240 250 256 260 261 265 270 281 288 290 300 312 318 320 324 325 348 351 360 375 377 384 390 400 405 416 424 432 435 450 464 468 477 480 500 520 522 530 540 562 576 580 585 600 624 636 640 648 650 675 689 696 702 720 725 750 754 768 780 783 795 800 810 832 841 843 848 864 870 900 928 936 954 960 975 1000 1040 1044 1053 1060 1080 1124 1125 1131 1152 1160 1170 1200 1248 1272 1280 1296 1300 1305 1325 1350 1378 1392 1404 1405 1431 1440 1450 1500 1508 1537 1560 1566 1590 1600 1620 1625 1664 1682 1686 1696 1728 1740 1755 1800 1856 1872 1885 1908 1920 1950 2000 2025 2067 2080 2088 2106 2120 2160 2175 2248 2250 2262 2304 2320 2340 2349 2385 2400 2496 2523 2529 2544 2592 2600 2610 2650 2700 2756 2784 2808 2810 2862 2880 2900 2925 3000 3016 3074 3120 3132 3180 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1592614483200 1617022368000 1623241684800 1648604836125 1688171352192 1758511825200 1803601872000 1819150164000 1875745946880 1953902028000 1990768104000 2029052106000 2110214190240 2164322246400 2198139781500 2344682433600 2425533552000 2605202704000 2637767737800 2654357472000 2705402808000 2813618920320 2910640262400 2930853042000 3126243244800 3246483369600 3297209672250 3376342704384 3517023650400 3607203744000 3638300328000 3907804056000 3981536208000 4058104212000 4220428380480 4396279563000 4689364867200 4851067104000 5210405408000 5275535475600 5410805616000 5627237840640 5861706084000 6492966739200 6594419344500 7034047300800 7276600656000 7815608112000 7963072416000 8116208424000 8440856760960 8792559126000 9378729734400 10551070951200 10821611232000 11723412168000 13188838689000 14068094601600 14553201312000 15631216224000 16232416848000 16881713521920 17585118252000 21102141902400 23446824336000 26377677378000 28136189203200 32464833696000 35170236504000 42204283804800 46893648672000 52755354756000 70340473008000 84408567609600 105510709512000 140680946016000 211021419024000 422042838048000
- Sum of all divisors σ(n): 1791100386627552
- Sum of proper divisors (its aliquot sum) s(n): 1369057548579552
- 422042838048000 is an abundant number, because the sum of its proper divisors (1369057548579552) is greater than itself. Its abundance is 947014710531552
Bases of 422042838048000
- Binary: 10111111111011000100000010111000100011101000000002
- Hexadecimal: 0x17FD881711D00
- Base-36: 45LNSWY800
Squares and roots of 422042838048000
- 422042838048000 squared (4220428380480002) is 178120157147610356450304000000
- 422042838048000 cubed (4220428380480003) is 75174336636133227297563203232366592000000000
-
The
square root of 422042838048000 is 20543681.2194893639 -
The
cube root of 422042838048000 is 75009.9446397303
Scales and comparisons
How big is 422042838048000?- 422,042,838,048,000 seconds is equal to 13,419,656 years, 40 weeks, 6 days.
-
To count from 1 to 422,042,838,048,000 would take you about thirty-three million, five hundred forty-nine thousand, one hundred forty-one 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 422042838048000 cubic inches would be around 6250.8 feet tall.
Recreational maths with 422042838048000
- 422042838048000 backwards is 000840838240224
- 422042838048000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 422042838048000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 422042838048000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 422042838048000 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/422042838048000/
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Numbermatics. 2024. "Number 422042838048000 - Facts about the integer". https://numbermatics.com/n/422042838048000/
The information we have on file for 422042838048000 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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