42120834416640000
42,120,834,416,640,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42120834416640000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3800 divisors.
42120834416640000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, eight hundred divisors.
Prime factorization of 42120834416640000:
218 × 34 × 54 × 7 × 61 × 7433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 61 × 7433)See below for interesting mathematical facts about the number 42120834416640000 from the Numbermatics database.
Names of 42120834416640000
- Cardinal: 42120834416640000 can be written as Forty-two quadrillion, one hundred twenty trillion, eight hundred thirty-four billion, four hundred sixteen million, six hundred forty thousand.
Scientific notation
- Scientific notation: 4.212083441664 × 1016
Factors of 42120834416640000
Divisors of 42120834416640000
- Number of divisors d(n): 3800
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 61 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 122 125 126 128 135 140 144 150 160 162 168 175 180 183 189 192 200 210 216 224 225 240 244 250 252 256 270 280 288 300 305 315 320 324 336 350 360 366 375 378 384 400 405 420 427 432 448 450 480 488 500 504 512 525 540 549 560 567 576 600 610 625 630 640 648 672 675 700 720 732 750 756 768 800 810 840 854 864 875 896 900 915 945 960 976 1000 1008 1024 1050 1080 1098 1120 1125 1134 1152 1200 1220 1250 1260 1280 1281 1296 1344 1350 1400 1440 1464 1500 1512 1525 1536 1575 1600 1620 1647 1680 1708 1728 1750 1792 1800 1830 1875 1890 1920 1952 2000 2016 2025 2048 2100 2135 2160 2196 2240 2250 2268 2304 2400 2440 2500 2520 2560 2562 2592 2625 2688 2700 2745 2800 2835 2880 2928 3000 3024 3050 3072 3150 3200 3240 3294 3360 3375 3416 3456 3500 3584 3600 3660 3750 3780 3840 3843 3904 4000 4032 4050 4096 4200 4270 4320 4375 4392 4480 4500 4536 4575 4608 4725 4800 4880 4941 5000 5040 5120 5124 5184 5250 5376 5400 5490 5600 5625 5670 5760 5856 6000 6048 6100 6144 6300 6400 6405 6480 6588 6720 6750 6832 6912 7000 7168 7200 7320 7433 7500 7560 7625 7680 7686 7808 7875 8000 8064 8100 8192 8235 8400 8540 8640 8750 8784 8960 9000 9072 9150 9216 9450 9600 9760 9882 10000 10080 10125 10240 10248 10368 10500 10675 10752 10800 10980 11200 11250 11340 11520 11529 11712 12000 12096 12200 12288 12600 12800 12810 12960 13125 13176 13440 13500 13664 13725 13824 14000 14175 14336 14400 14640 14866 15000 15120 15250 15360 15372 15616 15750 16000 16128 16200 16384 16470 16800 16875 17080 17280 17500 17568 17920 18000 18144 18300 18432 18900 19200 19215 19520 19764 20000 20160 20250 20480 20496 20736 21000 21350 21504 21600 21960 22299 22400 22500 22680 22875 23040 23058 23424 23625 24000 24192 24400 24576 24705 25200 25600 25620 25920 26250 26352 26880 27000 27328 27450 27648 28000 28350 28672 28800 29280 29732 30000 30240 30500 30720 30744 31232 31500 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1504315514880000 1560030904320000 1684833376665600 1755034767360000 2005754019840000 2106041720832000 2340046356480000 2632552151040000 2808055627776000 3008631029760000 3510069534720000 4212083441664000 4680092712960000 5265104302080000 6017262059520000 7020139069440000 8424166883328000 10530208604160000 14040278138880000 21060417208320000 42120834416640000
- Sum of all divisors σ(n): 182687876067156768
- Sum of proper divisors (its aliquot sum) s(n): 140567041650516768
- 42120834416640000 is an abundant number, because the sum of its proper divisors (140567041650516768) is greater than itself. Its abundance is 98446207233876768
Bases of 42120834416640000
- Binary: 100101011010010010101100111111010000110000000000000000002
- Hexadecimal: 0x95A4ACFD0C0000
- Base-36: BIQL877Y800
Squares and roots of 42120834416640000
- 42120834416640000 squared (421208344166400002) is 1774164691954004729108889600000000
- 42120834416640000 cubed (421208344166400003) is 74729297217643746085727037101854162944000000000000
-
The
square root of 42120834416640000 is 205233609.3739034743 -
The
cube root of 42120834416640000 is 347935.6974175133
Scales and comparisons
How big is 42120834416640000?- 42,120,834,416,640,000 seconds is equal to 1,339,312,246 years, 8 weeks.
-
To count from 1 to 42,120,834,416,640,000 would take you about four billion, seventeen million, nine hundred thirty-six thousand, seven hundred thirty-eight 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 42120834416640000 cubic inches would be around 28994.6 feet tall.
Recreational maths with 42120834416640000
- 42120834416640000 backwards is 00004661443802124
- 42120834416640000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42120834416640000's digits is 45
- More coming soon!
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"Number 42120834416640000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 42120834416640000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/42120834416640000/
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The information we have on file for 42120834416640000 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 42120834416640000, math, Factors of 42120834416640000, curriculum, school, college, exams, university, Prime factorization of 42120834416640000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, one hundred twenty trillion, eight hundred thirty-four billion, four hundred sixteen million, six hundred forty thousand.