How long would it take a Power Functions M-motor to turn 1 googol times? I have tried figuring it out with a calculator but I was confused.
According to Philo's LEGO motor datasheet an unladen PF-M motor rotates with 405 RPM.
One googol is 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (10^100), so the time it takes for an M motor to go this many rotations is (10^100)/405 minutes.
Ordinary calculators usually take a look at such large numbers and throw their hands up, or can't even display them but luckily we have WolframAlpha.
This is 4.695x10^91 years, or about 3.4x10^81 times the current age of the universe. (the Universe is about 14 Gigayears old now, in 2021 :) )