138306493728000000
138,306,493,728,000,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138306493728000000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4032 divisors.
138306493728000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 138306493728000000:
211 × 32 × 56 × 13 × 37 × 941 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 37 × 941 × 1061)See below for interesting mathematical facts about the number 138306493728000000 from the Numbermatics database.
Names of 138306493728000000
- Cardinal: 138306493728000000 can be written as One hundred thirty-eight quadrillion, three hundred six trillion, four hundred ninety-three billion, seven hundred twenty-eight million.
Scientific notation
- Scientific notation: 1.38306493728 × 1017
Factors of 138306493728000000
Divisors of 138306493728000000
- Number of divisors d(n): 4032
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 37 39 40 45 48 50 52 60 64 65 72 74 75 78 80 90 96 100 104 111 117 120 125 128 130 144 148 150 156 160 180 185 192 195 200 208 222 225 234 240 250 256 260 288 296 300 312 320 325 333 360 370 375 384 390 400 416 444 450 468 480 481 500 512 520 555 576 585 592 600 624 625 640 650 666 720 740 750 768 780 800 832 888 900 925 936 941 960 962 975 1000 1024 1040 1061 1110 1125 1152 1170 1184 1200 1248 1250 1280 1300 1332 1440 1443 1480 1500 1536 1560 1600 1625 1664 1665 1776 1800 1850 1872 1875 1882 1920 1924 1950 2000 2048 2080 2122 2220 2250 2304 2340 2368 2400 2405 2496 2500 2560 2600 2664 2775 2823 2880 2886 2925 2960 3000 3072 3120 3125 3183 3200 3250 3328 3330 3552 3600 3700 3744 3750 3764 3840 3848 3900 4000 4160 4244 4329 4440 4500 4608 4625 4680 4705 4736 4800 4810 4875 4992 5000 5120 5200 5305 5328 5550 5625 5646 5760 5772 5850 5920 6000 6144 6240 6250 6366 6400 6500 6656 6660 7104 7200 7215 7400 7488 7500 7528 7680 7696 7800 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- Sum of all divisors σ(n): 553361309308014480
- Sum of proper divisors (its aliquot sum) s(n): 415054815580014480
- 138306493728000000 is an abundant number, because the sum of its proper divisors (415054815580014480) is greater than itself. Its abundance is 276748321852014480
Bases of 138306493728000000
- Binary: 1111010110101110100000101111101001100100110001000000000002
- Hexadecimal: 0x1EB5D05F4C98800
- Base-36: 11TTK62TSZK0
Squares and roots of 138306493728000000
- 138306493728000000 squared (1383064937280000002) is 19128686207333303337984000000000000
- 138306493728000000 cubed (1383064937280000003) is 2645621518959423625720405560164352000000000000000000
-
The
square root of 138306493728000000 is 371895810.3125121253 -
The
cube root of 138306493728000000 is 517147.2153249749
Scales and comparisons
How big is 138306493728000000?- 138,306,493,728,000,000 seconds is equal to 4,397,718,690 years, 24 weeks, 5 days, 8 hours.
-
To count from 1 to 138,306,493,728,000,000 would take you about thirteen billion, one hundred ninety-three million, one hundred fifty-six thousand and seventy-one 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 138306493728000000 cubic inches would be around 43095.6 feet tall.
Recreational maths with 138306493728000000
- 138306493728000000 backwards is 000000827394603831
- The number of decimal digits it has is: 18
- The sum of 138306493728000000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138306493728000000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
APA style:
Numbermatics. (2024). Number 138306493728000000 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/138306493728000000/
Chicago style:
Numbermatics. 2024. "Number 138306493728000000 - Facts about the integer". https://numbermatics.com/n/138306493728000000/
The information we have on file for 138306493728000000 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!
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