138195650317824000
138,195,650,317,824,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138195650317824000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3120 divisors.
138195650317824000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, one hundred twenty divisors.
Prime factorization of 138195650317824000:
212 × 32 × 53 × 114 × 1273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 127 × 127 × 127)See below for interesting mathematical facts about the number 138195650317824000 from the Numbermatics database.
Names of 138195650317824000
- Cardinal: 138195650317824000 can be written as One hundred thirty-eight quadrillion, one hundred ninety-five trillion, six hundred fifty billion, three hundred seventeen million, eight hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.38195650317824 × 1017
Factors of 138195650317824000
Divisors of 138195650317824000
- Number of divisors d(n): 3120
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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 48 50 55 60 64 66 72 75 80 88 90 96 99 100 110 120 121 125 127 128 132 144 150 160 165 176 180 192 198 200 220 225 240 242 250 254 256 264 275 288 300 320 330 352 360 363 375 381 384 396 400 440 450 480 484 495 500 508 512 528 550 576 600 605 635 640 660 704 720 726 750 762 768 792 800 825 880 900 960 968 990 1000 1016 1024 1056 1089 1100 1125 1143 1152 1200 1210 1270 1280 1320 1331 1375 1397 1408 1440 1452 1500 1524 1536 1584 1600 1650 1760 1800 1815 1905 1920 1936 1980 2000 2032 2048 2112 2178 2200 2250 2286 2304 2400 2420 2475 2540 2560 2640 2662 2750 2794 2816 2880 2904 3000 3025 3048 3072 3168 3175 3200 3300 3520 3600 3630 3810 3840 3872 3960 3993 4000 4064 4096 4125 4191 4224 4356 4400 4500 4572 4608 4800 4840 4950 5080 5120 5280 5324 5445 5500 5588 5632 5715 5760 5808 6000 6050 6096 6144 6336 6350 6400 6600 6655 6985 7040 7200 7260 7620 7680 7744 7920 7986 8000 8128 8250 8382 8448 8712 8800 9000 9075 9144 9216 9525 9600 9680 9900 10160 10240 10560 10648 10890 11000 11176 11264 11430 11520 11616 11979 12000 12100 12192 12288 12375 12573 12672 12700 12800 13200 13310 13970 14080 14400 14520 14641 15125 15240 15360 15367 15488 15840 15875 15972 16000 16129 16256 16500 16764 16896 17424 17600 18000 18150 18288 18432 19050 19200 19360 19800 19965 20320 20480 20955 21120 21296 21780 22000 22352 22528 22860 23040 23232 23958 24000 24200 24384 24750 25146 25344 25400 25600 26400 26620 27225 27940 28160 28575 28800 29040 29282 30250 30480 30720 30734 30976 31680 31750 31944 32000 32258 32512 33000 33275 33528 33792 34848 34925 35200 36000 36300 36576 36864 38100 38400 38720 39600 39930 40640 41910 42240 42592 43560 43923 44000 44704 45056 45375 45720 46080 46101 46464 47625 47916 48000 48387 48400 48768 49500 50292 50688 50800 51200 52800 53240 54450 55880 56320 57150 57600 58080 58564 59895 60500 60960 61440 61468 61952 62865 63360 63500 63888 64000 64516 65024 66000 66550 67056 67584 69696 69850 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2303260838630400 2512648187596800 2763913006356480 2879076048288000 3071014451507200 3140810234496000 3454891257945600 3838768064384000 4187746979328000 4318614072432000 4606521677260800 5527826012712960 5758152096576000 6281620468992000 6909782515891200 7677536128768000 8637228144864000 9213043354521600 11516304193152000 12563240937984000 13819565031782400 15355072257536000 17274456289728000 23032608386304000 27639130063564800 34548912579456000 46065216772608000 69097825158912000 138195650317824000
- Sum of all divisors σ(n): 552344384176665600
- Sum of proper divisors (its aliquot sum) s(n): 414148733858841600
- 138195650317824000 is an abundant number, because the sum of its proper divisors (414148733858841600) is greater than itself. Its abundance is 275953083541017600
Bases of 138195650317824000
- Binary: 1111010101111100000110110001101101011001010110000000000002
- Hexadecimal: 0x1EAF83636B2B000
- Base-36: 11SQ9PBHA0W0
Squares and roots of 138195650317824000
- 138195650317824000 squared (1381956503178240002) is 19098037766766288632212094976000000
- 138195650317824000 cubed (1381956503178240003) is 2639265748972630410800890321314231273652224000000000
-
The
square root of 138195650317824000 is 371746755.6251486641 -
The
cube root of 138195650317824000 is 517009.0254262631
Scales and comparisons
How big is 138195650317824000?- 138,195,650,317,824,000 seconds is equal to 4,394,194,212 years, 46 weeks, 3 days, 8 hours.
-
To count from 1 to 138,195,650,317,824,000 would take you about thirteen billion, one hundred eighty-two million, five hundred eighty-two thousand, six 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 138195650317824000 cubic inches would be around 43084.1 feet tall.
Recreational maths with 138195650317824000
- 138195650317824000 backwards is 000428713056591831
- The number of decimal digits it has is: 18
- The sum of 138195650317824000's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138195650317824000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138195650317824000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138195650317824000/
Chicago style:
Numbermatics. 2024. "Number 138195650317824000 - Facts about the integer". https://numbermatics.com/n/138195650317824000/
The information we have on file for 138195650317824000 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 138195650317824000, math, Factors of 138195650317824000, curriculum, school, college, exams, university, Prime factorization of 138195650317824000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred ninety-five trillion, six hundred fifty billion, three hundred seventeen million, eight hundred twenty-four thousand.