138742993936800000000
138,742,993,936,800,000,000 is an even composite number composed of six prime numbers multiplied together.
138742993936800000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand, four hundred eighty divisors.
Prime factorization of 138742993936800000000:
211 × 32 × 58 × 11 × 474 × 359
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 47 × 47 × 47 × 47 × 359)See below for interesting mathematical facts about the number 138742993936800000000 from the Numbermatics database.
Names of 138742993936800000000
- Cardinal: 138742993936800000000 can be written as One hundred thirty-eight quintillion, seven hundred forty-two quadrillion, nine hundred ninety-three trillion, nine hundred thirty-six billion, eight hundred million.
Scientific notation
- Scientific notation: 1.387429939368 × 1020
Factors of 138742993936800000000
Divisors of 138742993936800000000
- Number of divisors d(n): 6480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 47 48 50 55 60 64 66 72 75 80 88 90 94 96 99 100 110 120 125 128 132 141 144 150 160 165 176 180 188 192 198 200 220 225 235 240 250 256 264 275 282 288 300 320 330 352 359 360 375 376 384 396 400 423 440 450 470 480 495 500 512 517 528 550 564 576 600 625 640 660 704 705 718 720 750 752 768 792 800 825 846 880 900 940 960 990 1000 1024 1034 1056 1077 1100 1125 1128 1152 1175 1200 1250 1280 1320 1375 1408 1410 1436 1440 1500 1504 1536 1551 1584 1600 1650 1692 1760 1795 1800 1875 1880 1920 1980 2000 2048 2068 2112 2115 2154 2200 2209 2250 2256 2304 2350 2400 2475 2500 2560 2585 2640 2750 2816 2820 2872 2880 3000 3008 3072 3102 3125 3168 3200 3231 3300 3384 3520 3525 3590 3600 3750 3760 3840 3949 3960 4000 4125 4136 4224 4230 4308 4400 4418 4500 4512 4608 4653 4700 4800 4950 5000 5120 5170 5280 5385 5500 5625 5632 5640 5744 5760 5875 6000 6016 6144 6204 6250 6336 6400 6462 6600 6627 6768 6875 7040 7050 7180 7200 7500 7520 7680 7755 7898 7920 8000 8250 8272 8448 8460 8616 8800 8836 8975 9000 9024 9216 9306 9375 9400 9600 9900 10000 10240 10340 10560 10575 10770 11000 11045 11250 11264 11280 11488 11520 11750 11847 12000 12032 12375 12408 12500 12672 12800 12924 12925 13200 13254 13536 13750 14080 14100 14360 14400 15000 15040 15360 15510 15625 15796 15840 16000 16155 16500 16544 16873 16896 16920 17232 17600 17625 17672 17950 18000 18048 18432 18612 18750 18800 19200 19745 19800 19881 20000 20625 20680 21120 21150 21540 22000 22090 22500 22528 22560 22976 23040 23265 23500 23694 24000 24064 24299 24750 24816 25000 25344 25600 25848 25850 26400 26508 26925 27072 27500 28125 28160 28200 28720 28800 29375 30000 30080 30720 31020 31250 31592 31680 32000 32310 33000 33088 33135 33746 33792 33840 34375 34464 35200 35250 35344 35541 35900 36000 36096 37224 37500 37600 38400 38775 39490 39600 39762 40000 41250 41360 42240 42300 43080 44000 44180 44875 45000 45120 45952 46080 46530 46875 47000 47388 48000 48128 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8671437121050000000 9249532929120000000 11561916161400000000 12612999448800000000 13874299393680000000 15415888215200000000 17342874242100000000 23123832322800000000 27748598787360000000 34685748484200000000 46247664645600000000 69371496968400000000 138742993936800000000
- Sum of all divisors σ(n): 559863669954732343200
- Sum of proper divisors (its aliquot sum) s(n): 421120676017932343200
- 138742993936800000000 is an abundant number, because the sum of its proper divisors (421120676017932343200) is greater than itself. Its abundance is 282377682081132343200
Bases of 138742993936800000000
- Binary: 11110000101011100100010000111100100110001010010001110101000000000002
- Hexadecimal: 0x7857221E4C523A800
- Base-36: TA3R2NM6VBI80
Squares and roots of 138742993936800000000
- 138742993936800000000 squared (1387429939368000000002) is 19249618366546921562394240000000000000000
- 138742993936800000000 cubed (1387429939368000000003) is 2670749684315533458283969223211244032000000000000000000000000
-
The
square root of 138742993936800000000 is 11778921594.8150363771 -
The
cube root of 138742993936800000000 is 5176906.8898057839
Scales and comparisons
How big is 138742993936800000000?- 138,742,993,936,800,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,742,993,936,800,000,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138742993936800000000 cubic inches would be around 431408.9 feet tall.
Recreational maths with 138742993936800000000
- 138742993936800000000 backwards is 000000008639399247831
- 138742993936800000000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138742993936800000000's digits is 72
- More coming soon!
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"Number 138742993936800000000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 138742993936800000000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138742993936800000000/
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The information we have on file for 138742993936800000000 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 138742993936800000000, math, Factors of 138742993936800000000, curriculum, school, college, exams, university, Prime factorization of 138742993936800000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, seven hundred forty-two quadrillion, nine hundred ninety-three trillion, nine hundred thirty-six billion, eight hundred million.