42121391992128000
42,121,391,992,128,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42121391992128000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3520 divisors.
42121391992128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, five hundred twenty divisors.
Prime factorization of 42121391992128000:
29 × 310 × 53 × 293 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 29 × 29 × 29 × 457)See below for interesting mathematical facts about the number 42121391992128000 from the Numbermatics database.
Names of 42121391992128000
- Cardinal: 42121391992128000 can be written as Forty-two quadrillion, one hundred twenty-one trillion, three hundred ninety-one billion, nine hundred ninety-two million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.2121391992128 × 1016
Factors of 42121391992128000
Divisors of 42121391992128000
- Number of divisors d(n): 3520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 64 72 75 80 81 87 90 96 100 108 116 120 125 128 135 144 145 150 160 162 174 180 192 200 216 225 232 240 243 250 256 261 270 288 290 300 320 324 348 360 375 384 400 405 432 435 450 457 464 480 486 500 512 522 540 576 580 600 640 648 675 696 720 725 729 750 768 783 800 810 841 864 870 900 914 928 960 972 1000 1044 1080 1125 1152 1160 1200 1215 1280 1296 1305 1350 1371 1392 1440 1450 1458 1500 1536 1566 1600 1620 1682 1728 1740 1800 1828 1856 1920 1944 2000 2025 2088 2160 2175 2187 2250 2285 2304 2320 2349 2400 2430 2523 2560 2592 2610 2700 2742 2784 2880 2900 2916 3000 3132 3200 3240 3364 3375 3456 3480 3600 3625 3645 3656 3712 3840 3888 3915 4000 4050 4113 4176 4205 4320 4350 4374 4500 4570 4608 4640 4698 4800 4860 5046 5184 5220 5400 5484 5568 5760 5800 5832 6000 6075 6264 6400 6480 6525 6561 6728 6750 6855 6912 6960 7047 7200 7250 7290 7312 7424 7569 7680 7776 7830 8000 8100 8226 8352 8410 8640 8700 8748 9000 9140 9280 9396 9600 9720 10092 10125 10368 10440 10800 10875 10935 10968 11136 11425 11520 11600 11664 11745 12000 12150 12339 12528 12615 12800 12960 13050 13122 13253 13456 13500 13710 13824 13920 14094 14400 14500 14580 14624 14848 15138 15552 15660 16000 16200 16452 16704 16820 17280 17400 17496 18000 18225 18280 18560 18792 19200 19440 19575 19683 20184 20250 20565 20736 20880 21025 21141 21600 21750 21870 21936 22272 22707 22850 23040 23200 23328 23490 24000 24300 24389 24678 25056 25230 25920 26100 26244 26506 26912 27000 27420 27840 28188 28800 29000 29160 29248 30276 30375 31104 31320 32000 32400 32625 32805 32904 33408 33640 34275 34560 34800 34992 35235 36000 36450 36560 37017 37120 37584 37845 38400 38880 39150 39366 39759 40368 40500 41130 41472 41760 42050 42282 43200 43500 43740 43872 44544 45414 45700 46400 46656 46980 48000 48600 48778 49356 50112 50460 51840 52200 52488 53012 53824 54000 54675 54840 55680 56376 57125 57600 58000 58320 58496 58725 59049 60552 60750 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50084889408000 52001718508800 52651739990160 53794881216000 54845562489750 56161855989504 57779687232000 58098471713280 58501933322400 60519241368000 62402062210560 65002148136000 65814674987700 70202319986880 72623089641600 73127416653000 78002577763200 80692321824000 82268343734625 84242783984256 86669530848000 87752899983600 90778862052000 92169347904000 93603093315840 96830786188800 97503222204000 104003437017600 105303479980320 109691124979500 112323711979008 117003866644800 121038482736000 130004296272000 131629349975400 140404639973760 145246179283200 146254833306000 156005155526400 161384643648000 164536687469250 168485567968512 173339061696000 175505799967200 181557724104000 187206186631680 195006444408000 210606959960640 219382249959000 234007733289600 242076965472000 260008592544000 263258699950800 280809279947520 290492358566400 292509666612000 312010311052800 329073374938500 336971135937024 351011599934400 363115448208000 390012888816000 421213919921280 438764499918000 468015466579200 484153930944000 520017185088000 526517399901600 561618559895040 585019333224000 658146749877000 702023199868800 726230896416000 780025777632000 842427839842560 877528999836000 936030933158400 1053034799803200 1170038666448000 1316293499754000 1404046399737600 1452461792832000 1560051555264000 1684855679685120 1755057999672000 2106069599606400 2340077332896000 2632586999508000 2808092799475200 3510115999344000 4212139199212800 4680154665792000 5265173999016000 7020231998688000 8424278398425600 10530347998032000 14040463997376000 21060695996064000 42121391992128000
- Sum of all divisors σ(n): 163531119907789920
- Sum of proper divisors (its aliquot sum) s(n): 121409727915661920
- 42121391992128000 is an abundant number, because the sum of its proper divisors (121409727915661920) is greater than itself. Its abundance is 79288335923533920
Bases of 42121391992128000
- Binary: 100101011010010100101110110011110010001011000010000000002
- Hexadecimal: 0x95A52ECF22C200
- Base-36: BIQSCCI0000
Squares and roots of 42121391992128000
- 42121391992128000 squared (421213919921280002) is 1774211663354504804413968384000000
- 42121391992128000 cubed (421213919921280003) is 74732264949160537618677430757723768881152000000000
-
The
square root of 42121391992128000 is 205234967.7616560545 -
The
cube root of 42121391992128000 is 347937.2326795987
Scales and comparisons
How big is 42121391992128000?- 42,121,391,992,128,000 seconds is equal to 1,339,329,975 years, 17 weeks, 1 day.
-
To count from 1 to 42,121,391,992,128,000 would take you about four billion, seventeen million, nine hundred eighty-nine thousand, nine hundred twenty-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 42121391992128000 cubic inches would be around 28994.8 feet tall.
Recreational maths with 42121391992128000
- 42121391992128000 backwards is 00082129919312124
- 42121391992128000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42121391992128000's digits is 54
- More coming soon!
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"Number 42121391992128000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 42121391992128000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/42121391992128000/
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The information we have on file for 42121391992128000 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 42121391992128000, math, Factors of 42121391992128000, curriculum, school, college, exams, university, Prime factorization of 42121391992128000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, one hundred twenty-one trillion, three hundred ninety-one billion, nine hundred ninety-two million, one hundred twenty-eight thousand.