138145385044800000
138,145,385,044,800,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138145385044800000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 7200 divisors.
138145385044800000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven thousand, two hundred divisors.
Prime factorization of 138145385044800000:
29 × 34 × 55 × 7 × 193 × 1492
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 19 × 19 × 19 × 149 × 149)See below for interesting mathematical facts about the number 138145385044800000 from the Numbermatics database.
Names of 138145385044800000
- Cardinal: 138145385044800000 can be written as One hundred thirty-eight quadrillion, one hundred forty-five trillion, three hundred eighty-five billion, forty-four million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.381453850448 × 1017
Factors of 138145385044800000
Divisors of 138145385044800000
- Number of divisors d(n): 7200
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 50 54 56 57 60 63 64 70 72 75 76 80 81 84 90 95 96 100 105 108 112 114 120 125 126 128 133 135 140 144 149 150 152 160 162 168 171 175 180 189 190 192 200 210 216 224 225 228 240 250 252 256 266 270 280 285 288 298 300 304 315 320 324 336 342 350 360 361 375 378 380 384 399 400 405 420 432 447 448 450 456 475 480 500 504 512 513 525 532 540 560 567 570 576 596 600 608 625 630 640 648 665 672 675 684 700 720 722 745 750 756 760 768 798 800 810 840 855 864 875 894 896 900 912 945 950 960 1000 1008 1026 1043 1050 1064 1080 1083 1120 1125 1134 1140 1152 1192 1197 1200 1216 1250 1260 1280 1296 1330 1341 1344 1350 1368 1400 1425 1440 1444 1490 1500 1512 1520 1536 1539 1575 1596 1600 1620 1680 1710 1728 1750 1788 1792 1800 1805 1824 1875 1890 1900 1920 1995 2000 2016 2025 2052 2086 2100 2128 2160 2166 2235 2240 2250 2268 2280 2304 2375 2384 2394 2400 2432 2500 2520 2527 2560 2565 2592 2625 2660 2682 2688 2700 2736 2800 2831 2835 2850 2880 2888 2980 3000 3024 3040 3078 3125 3129 3150 3192 3200 3240 3249 3325 3360 3375 3420 3456 3500 3576 3584 3591 3600 3610 3648 3725 3750 3780 3800 3840 3990 4000 4023 4032 4050 4104 4172 4200 4256 4275 4320 4332 4375 4470 4480 4500 4536 4560 4608 4725 4750 4768 4788 4800 4864 5000 5040 5054 5130 5184 5215 5250 5320 5364 5376 5400 5415 5472 5600 5625 5662 5670 5700 5760 5776 5960 5985 6000 6048 6080 6156 6250 6258 6300 6384 6400 6480 6498 6650 6705 6720 6750 6840 6859 6912 7000 7125 7152 7182 7200 7220 7296 7450 7500 7560 7581 7600 7680 7695 7875 7980 8000 8046 8064 8100 8208 8344 8400 8493 8512 8550 8640 8664 8750 8940 8960 9000 9025 9072 9120 9375 9387 9450 9500 9536 9576 9600 9728 9747 9975 10000 10080 10108 10125 10260 10368 10430 10500 10640 10728 10752 10773 10800 10830 10944 11175 11200 11250 11324 11340 11400 11520 11552 11875 11920 11970 12000 12069 12096 12160 12312 12500 12516 12600 12635 12768 12800 12825 12960 12996 13125 13300 13410 13440 13500 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- Sum of all divisors σ(n): 625919893279148160
- Sum of proper divisors (its aliquot sum) s(n): 487774508234348160
- 138145385044800000 is an abundant number, because the sum of its proper divisors (487774508234348160) is greater than itself. Its abundance is 349629123189548160
Bases of 138145385044800000
- Binary: 1111010101100101001111110111010101111010001110010000000002
- Hexadecimal: 0x1EACA7EEAF47200
- Base-36: 11S8G9RRJ400
Squares and roots of 138145385044800000
- 138145385044800000 squared (1381453850448000002) is 19084147409176051498007040000000000
- 138145385044800000 cubed (1381453850448000003) is 2636386892092347970903096380621115392000000000000000
-
The
square root of 138145385044800000 is 371679142.6012495525 -
The
cube root of 138145385044800000 is 516946.3347140263
Scales and comparisons
How big is 138145385044800000?- 138,145,385,044,800,000 seconds is equal to 4,392,595,932 years, 36 weeks.
-
To count from 1 to 138,145,385,044,800,000 would take you about thirteen billion, one hundred seventy-seven million, seven hundred eighty-seven thousand, seven hundred ninety-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 138145385044800000 cubic inches would be around 43078.9 feet tall.
Recreational maths with 138145385044800000
- 138145385044800000 backwards is 000008440583541831
- 138145385044800000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138145385044800000's digits is 54
- More coming soon!
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"Number 138145385044800000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138145385044800000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138145385044800000/
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The information we have on file for 138145385044800000 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 138145385044800000, math, Factors of 138145385044800000, curriculum, school, college, exams, university, Prime factorization of 138145385044800000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred forty-five trillion, three hundred eighty-five billion, forty-four million, eight hundred thousand.