138171698380800000
138,171,698,380,800,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138171698380800000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 5040 divisors.
138171698380800000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five thousand and forty divisors.
Prime factorization of 138171698380800000:
227 × 34 × 55 × 72 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 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 × 5 × 7 × 7 × 83)See below for interesting mathematical facts about the number 138171698380800000 from the Numbermatics database.
Names of 138171698380800000
- Cardinal: 138171698380800000 can be written as One hundred thirty-eight quadrillion, one hundred seventy-one trillion, six hundred ninety-eight billion, three hundred eighty million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.381716983808 × 1017
Factors of 138171698380800000
Divisors of 138171698380800000
- Number of divisors d(n): 5040
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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 49 50 54 56 60 63 64 70 72 75 80 81 83 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 162 166 168 175 180 189 192 196 200 210 216 224 225 240 245 249 250 252 256 270 280 288 294 300 315 320 324 332 336 350 360 375 378 384 392 400 405 415 420 432 441 448 450 480 490 498 500 504 512 525 540 560 567 576 581 588 600 625 630 640 648 664 672 675 700 720 735 747 750 756 768 784 800 810 830 840 864 875 882 896 900 945 960 980 996 1000 1008 1024 1050 1080 1120 1125 1134 1152 1162 1176 1200 1225 1245 1250 1260 1280 1296 1323 1328 1344 1350 1400 1440 1470 1494 1500 1512 1536 1568 1575 1600 1620 1660 1680 1728 1743 1750 1764 1792 1800 1875 1890 1920 1960 1992 2000 2016 2025 2048 2075 2100 2160 2205 2240 2241 2250 2268 2304 2324 2352 2400 2450 2490 2500 2520 2560 2592 2625 2646 2656 2688 2700 2800 2835 2880 2905 2940 2988 3000 3024 3072 3125 3136 3150 3200 3240 3320 3360 3375 3456 3486 3500 3528 3584 3600 3675 3735 3750 3780 3840 3920 3969 3984 4000 4032 4050 4067 4096 4150 4200 4320 4375 4410 4480 4482 4500 4536 4608 4648 4704 4725 4800 4900 4980 5000 5040 5120 5184 5229 5250 5292 5312 5376 5400 5600 5625 5670 5760 5810 5880 5976 6000 6048 6125 6144 6225 6250 6272 6300 6400 6480 6615 6640 6720 6723 6750 6912 6972 7000 7056 7168 7200 7350 7470 7500 7560 7680 7840 7875 7938 7968 8000 8064 8100 8134 8192 8300 8400 8640 8715 8750 8820 8960 8964 9000 9072 9216 9296 9375 9408 9450 9600 9800 9960 10000 10080 10125 10240 10368 10375 10458 10500 10584 10624 10752 10800 11025 11200 11205 11250 11340 11520 11620 11760 11952 12000 12096 12201 12250 12288 12450 12500 12544 12600 12800 12960 13125 13230 13280 13440 13446 13500 13824 13944 14000 14112 14175 14336 14400 14525 14700 14940 15000 15120 15360 15680 15687 15750 15876 15936 16000 16128 16200 16268 16384 16600 16800 16875 17280 17430 17500 17640 17920 17928 18000 18144 18375 18432 18592 18675 18750 18816 18900 19200 19600 19845 19920 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1151430819840000 1233675878400000 1279367577600000 1315920936960000 1381716983808000 1409915289600000 1439288524800000 1535241093120000 1644901171200000 1664719257600000 1705823436800000 1727146229760000 1842289311744000 1919051366400000 1973881405440000 2158932787200000 2193201561600000 2302861639680000 2467351756800000 2558735155200000 2763433967616000 2819830579200000 2878577049600000 3070482186240000 3289802342400000 3454292459520000 3838102732800000 3947762810880000 4317865574400000 4605723279360000 4934703513600000 5117470310400000 5526867935232000 5757154099200000 6579604684800000 6908584919040000 7676205465600000 8635731148800000 9211446558720000 9869407027200000 11514308198400000 13817169838080000 15352410931200000 17271462297600000 19738814054400000 23028616396800000 27634339676160000 34542924595200000 46057232793600000 69085849190400000 138171698380800000
- Sum of all divisors σ(n): 607451526798926040
- Sum of proper divisors (its aliquot sum) s(n): 469279828418126040
- 138171698380800000 is an abundant number, because the sum of its proper divisors (469279828418126040) is greater than itself. Its abundance is 331108130037326040
Bases of 138171698380800000
- Binary: 1111010101110001001101101011110000000000000000000000000002
- Hexadecimal: 0x1EAE26D78000000
- Base-36: 11SHS1Y8E800
Squares and roots of 138171698380800000
- 138171698380800000 squared (1381716983808000002) is 19091418233434769341808640000000000
- 138171698380800000 cubed (1381716983808000003) is 2637893681811854515488002345231450112000000000000000
-
The
square root of 138171698380800000 is 371714538.8343049463 -
The
cube root of 138171698380800000 is 516979.1545316711
Scales and comparisons
How big is 138171698380800000?- 138,171,698,380,800,000 seconds is equal to 4,393,432,615 years, 20 weeks.
-
To count from 1 to 138,171,698,380,800,000 would take you about thirteen billion, one hundred eighty million, two hundred ninety-seven thousand, eight hundred forty-six 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 138171698380800000 cubic inches would be around 43081.6 feet tall.
Recreational maths with 138171698380800000
- 138171698380800000 backwards is 000008083896171831
- 138171698380800000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138171698380800000's digits is 63
- More coming soon!
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Numbermatics. (2024). Number 138171698380800000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138171698380800000/
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The information we have on file for 138171698380800000 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 138171698380800000, math, Factors of 138171698380800000, curriculum, school, college, exams, university, Prime factorization of 138171698380800000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred seventy-one trillion, six hundred ninety-eight billion, three hundred eighty million, eight hundred thousand.