Googleplex: Why not think really big?

In 1920, Edward Kasner's nine-year-old nephew, Milton Sirotta, coined the term googol, which is 10¹⁰⁰, then proposed the further term googolplex to be "one, followed by writing zeroes until you get tired".^[1] Kasner decided to adopt a more formal definition "but different people get tired at different times and it would never do to have Carnera a better mathematician than Dr. Einstein, simply because he had more endurance and could write for longer".^[2] It thus became standardized to:

         ¹⁰⁰

  10¹⁰ 

^{Ten to the tenth to the one hundredth}

 

A typical book can be printed with 10⁶ zeros (around 400 pages with 50 lines per page and 50 zeros per line). Therefore, it requires 10⁹⁴ such books to print all the zeros of a googolplex (that is, printing a googol of zeros). If each book had a mass of 100 grams, all of them would have a total mass of 10⁹³ kilograms. In comparison, Earth's mass is 5.972 x 10²⁴ kilograms, and the mass of the Milky Way Galaxy is estimated at 2.5 x 10⁴² kilograms.  The number of Protons and neutrons in the universe is 10⁸⁹ (without dark matter).  It looks like the mind of man who can think about 10^{10  to the 100th}   is greater than the Universe.