Farmtalk said:Thought this challenge was worth asking here :D
Using mathematics, how many digits does the number \(\displaystyle 2^{1000} \)contain?
There are 301 digits in the number 2^1000.
The value of 2^1000 is approximately 1.0715086071862673 x 10^301.
To calculate the number of digits in 2^1000, you can use the formula log10(2^1000) + 1. This calculates the number of digits by taking the logarithm of the number and adding 1.
The largest power of 2 that can be represented with 1000 digits is 2^3321, which has 1000 digits.
If you were to write out all the digits in 2^1000, it would take approximately 3.154 x 10^298 seconds, which is longer than the estimated age of the universe.