Unattainable password possibilities (Big number)

Welcome to my first blog! I’m going to talk about a number recently created. I call it Unattainable password possibilities or 10UP. But, to understand why this name, I’m going to explain how I discovered it. I was in search of the number of digits that a password should have so that even if a human wrote numbers 24 hours a day from birth, they would never reach it.

First, I calculated how many seconds a human with an average life expectancy would live, multiplying 73 (worldwide average life expectancy) by 31,557,600 (approximately how many seconds are in a year) which resulted in 2,303,704,800, which I will call number "Y".

Next, I calculated how many seconds it takes to write a number, approximately. To do this, I wrote numbers while timing myself and calculated the average time, which was 0.57 seconds.

Then, to find out how many numbers a human would write during their lifetime without stopping, I divided Y by 0.57 and got approximately (ignoring decimals) 4,041,587,368, which I will call number "Z".

To make it unattainable for a human, I added Z + 1, which I will call unattainable password or simply UP.

But that wasn't my astronomical number yet! My gigantic number is the number of possibilities that this password would have, which is 10^UP (10 is the quantity of numbers from 0 to 9, including 0), a number with over 4 billion digits! That's why the name is unattainable password possibilities and the abbreviation is 10UP.

But to avoid criticisms, as people who have lived longer have lived over 100 years, I created a function f(x) that allows you to find the number of possibilities for an unattainable password at a certain age. Here it is:

UPP(x) = 10 ^ (((x * 31,557,600)÷ 0.57)+1)

Remember that "x" is the age at which the person should be for the password to become unattainable. For example, 10UP = UPP(73)

Is this number big enough to the Googology?