3978284320080000
3,978,284,320,080,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 3978284320080000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5400 divisors.
3978284320080000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, four hundred divisors.
Prime factorization of 3978284320080000:
27 × 32 × 54 × 74 × 372 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 37 × 37 × 41 × 41)See below for interesting mathematical facts about the number 3978284320080000 from the Numbermatics database.
Names of 3978284320080000
- Cardinal: 3978284320080000 can be written as Three quadrillion, nine hundred seventy-eight trillion, two hundred eighty-four billion, three hundred twenty million, eighty thousand.
Scientific notation
- Scientific notation: 3.97828432008 × 1015
Factors of 3978284320080000
Divisors of 3978284320080000
- Number of divisors d(n): 5400
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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 28 30 32 35 36 37 40 41 42 45 48 49 50 56 60 63 64 70 72 74 75 80 82 84 90 96 98 100 105 111 112 120 123 125 126 128 140 144 147 148 150 160 164 168 175 180 185 192 196 200 205 210 222 224 225 240 245 246 250 252 259 280 287 288 294 296 300 315 320 328 333 336 343 350 360 369 370 375 384 392 400 410 420 441 444 448 450 480 490 492 500 504 518 525 555 560 574 576 588 592 600 615 625 630 640 656 666 672 686 700 720 735 738 740 750 777 784 800 820 840 861 875 882 888 896 900 925 960 980 984 1000 1008 1025 1029 1036 1050 1110 1120 1125 1148 1152 1176 1184 1200 1225 1230 1250 1260 1295 1312 1332 1344 1369 1372 1400 1435 1440 1470 1476 1480 1500 1517 1554 1568 1575 1600 1640 1665 1680 1681 1715 1722 1750 1764 1776 1800 1813 1845 1850 1875 1920 1960 1968 2000 2009 2016 2050 2058 2072 2100 2205 2220 2240 2250 2296 2331 2352 2368 2400 2401 2450 2460 2500 2520 2583 2590 2624 2625 2664 2688 2738 2744 2775 2800 2870 2880 2940 2952 2960 3000 3034 3075 3087 3108 3136 3150 3200 3280 3330 3360 3362 3430 3444 3500 3528 3552 3600 3626 3675 3690 3700 3750 3885 3920 3936 4000 4018 4032 4100 4107 4116 4144 4200 4305 4375 4410 4440 4480 4500 4551 4592 4625 4662 4704 4736 4800 4802 4900 4920 5000 5040 5043 5125 5145 5166 5180 5248 5250 5328 5439 5476 5488 5550 5600 5625 5740 5760 5880 5904 5920 6000 6027 6068 6125 6150 6174 6216 6272 6300 6475 6560 6660 6720 6724 6845 6860 6888 7000 7056 7104 7175 7200 7203 7252 7350 7380 7400 7500 7585 7770 7840 7872 7875 8000 8036 8064 8200 8214 8232 8288 8325 8400 8405 8575 8610 8750 8820 8880 9000 9065 9102 9184 9225 9250 9324 9408 9583 9600 9604 9800 9840 10000 10045 10080 10086 10250 10290 10332 10360 10500 10619 10656 10878 10952 10976 11025 11100 11200 11250 11480 11655 11760 11767 11808 11840 12000 12005 12054 12136 12250 12300 12321 12348 12432 12600 12691 12915 12950 13120 13125 13320 13440 13448 13653 13690 13720 13776 13875 14000 14063 14112 14208 14350 14400 14406 14504 14700 14760 14800 15000 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165761846670000 189442110480000 198914216004000 221015795560000 248642770005000 265218954672000 284163165720000 331523693340000 397828432008000 442031591120000 497285540010000 568326331440000 663047386680000 795656864016000 994571080020000 1326094773360000 1989142160040000 3978284320080000
- Sum of all divisors σ(n): 17580331108254915
- Sum of proper divisors (its aliquot sum) s(n): 13602046788174915
- 3978284320080000 is an abundant number, because the sum of its proper divisors (13602046788174915) is greater than itself. Its abundance is 9623762468094915
Bases of 3978284320080000
- Binary: 11100010001000111010011111111011011011000000100000002
- Hexadecimal: 0xE223A7FB6C080
- Base-36: 1366ML3X280
Squares and roots of 3978284320080000
- 3978284320080000 squared (39782843200800002) is 15826746131394387891206400000000
- 3978284320080000 cubed (39782843200800003) is 62963295972413092774095838034944512000000000000
-
The
square root of 3978284320080000 is 63073642.0391275647 -
The
cube root of 3978284320080000 is 158452.3213387303
Scales and comparisons
How big is 3978284320080000?- 3,978,284,320,080,000 seconds is equal to 126,497,135 years, 38 weeks, 2 days, 8 hours.
-
To count from 1 to 3,978,284,320,080,000 would take you about three hundred seventy-nine million, four hundred ninety-one thousand, four hundred 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 3978284320080000 cubic inches would be around 13204.4 feet tall.
Recreational maths with 3978284320080000
- 3978284320080000 backwards is 0000800234828793
- The number of decimal digits it has is: 16
- The sum of 3978284320080000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 3978284320080000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 3978284320080000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/3978284320080000/
Chicago style:
Numbermatics. 2024. "Number 3978284320080000 - Facts about the integer". https://numbermatics.com/n/3978284320080000/
The information we have on file for 3978284320080000 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 3978284320080000, math, Factors of 3978284320080000, curriculum, school, college, exams, university, Prime factorization of 3978284320080000, STEM, science, technology, engineering, physics, economics, calculator, three quadrillion, nine hundred seventy-eight trillion, two hundred eighty-four billion, three hundred twenty million, eighty thousand.