10 N googolplex is a number equal to 10 raised to the power of a googolplex, which is a 1 followed by a googol zeroes. It is an incredibly large number.
Detailed response question
10 N googolplex is an incredibly large number, equal to 10 raised to the power of a googolplex, which is a 1 followed by a googol zeroes. To put this into perspective, it is estimated that there are around 10⁸⁰ atoms in the observable universe.
According to mathematician Edward Kasner, who coined the term “googol” in the 1930s, “a googolplex is much larger than a googol, but an exact definition is hard to give because there is no agreed upon notation for such large numbers.”
Here are some interesting facts to further illustrate the mind-boggling scale of this number:
- A googolplex is so large that even if you were to write every digit of it in tiny font on a piece of paper, you would need more space than there are atoms in the observable universe.
- If you were to try to count to a googolplex, and you counted one number every second, it would take you approximately 10⁹⁹⁰⁰⁴ years to reach the end of the number.
- The largest number ever used in a published mathematical proof is believed to be a number called “Graham’s number”, which is far greater than a googolplex. Describing Graham’s number in full would take up more space than there are atoms in the observable universe.
- In 2018, researchers at the University of Rochester used a laser to create the fastest-ever display of data, at a rate of 28 trillion frames per second. The amount of information generated during that experiment is estimated to be around 10 N googolplex bytes.
- The concept of a googol and googolplex has entered popular culture, and has been referenced in works such as the TV show “The Big Bang Theory” and the book “Charlie and the Chocolate Factory”.
Table:
| Number | Numeral notation |
|---|---|
| Googol | 10¹⁰⁰ |
| Googolplex | 10^(10^100) |
| Graham’s number | A number too large to be expressed in standard mathematic notation |
In conclusion, 10 N googolplex is a number of incomprehensible size, and serves as a reminder of the boundlessness of mathematical concepts.
Watch related video
Numberphile discusses the enormous size of a googol, which is 1 followed by 100 zeros, larger than the number of particles in the universe. However, a googolplex, which is 10 raised to the power of a googol, is so large that it cannot be written down even if every particle in the universe were used for it. A person or object occupying a meter cubed of space would have roughly 10 to the power of 10 to the power of 70 possible states, much smaller than a googolplex. If the universe were googolplex meters across, there would be repeating volumes of one meter cubed and eventually, an entire observable universe would repeat, highlighting the vastness of the number.
Here are some more answers to your question
Googolplex is the official name of a reference large number, defined as 1010100 = 10googol or one followed by a googol (10100) zeroes. Milton Sirotta originally defined it as "one, followed by writing zeroes until you get tired".
I am sure you will be interested in these topics as well
How many zeros is in a googolplex?
Answer to this: 10100 zeroes
Written out in ordinary decimal notation, it is 1 followed by 10100 zeroes; that is, a 1 followed by a googol of zeroes.
Similar
How big is a googolplexian?
Response: A googol is 10 to the 100th power, which is 1 followed by 100 zeros. While this is an unimaginably large number, there’s still an infinite quantity of larger numbers. One such number is googolplex, which is 10 to the power of a googol, or 1 followed by a googol of zeros.
What is bigger than a Googolplexianth?
Response will be: YES, there is a number bigger than Googolplexian; It’s Googolplexian + 1. There is NO "biggest" number!
Is googolplex better than infinity?
Answer will be: Googolplex may well designate the largest number named with a single word, but of course that doesn’t make it the biggest number. In a last-ditch effort to hold onto the hope that there is indeed such a thing as the largest number… Child: Infinity! Nothing is larger than infinity!
What is a googolplex number?
The answer is: One such number is googolplex, which is 10 to the power of a googol, or 1 followed by a googol of zeros. The word googol was introduced in Mathematics and the Imagination, a book written by Edward Kasner and James R. Newman in 1940 to survey the field of mathematics for the layperson.
How many zeros are in a googolplex?
A googolplex is the number 10googol, or equivalently, 10 (10100). Written out in ordinary decimal notation, it is 1 followed by 10100 zeroes, that is, a 1 followed by a googol zeroes.
What is the difference between a googol and a googolplex?
Answer to this: A Googol is defined as 10100 10 100. A Googolplex is defined as 10Googol 10 Googol. A Googolplexian is defined as 10Googolplex 10 Googolplex. Intuitively, it seems to me that Graham’s number is larger (maybe because of it’s complex definition). Can anybody prove this?
What is the scientific notation for a googolplex?
The response is: The scientific notation for a googolplex is 1 x 10 10^100 As massive as a googol is, a googolplex is many, many times larger, such that it’s impossible to write all the zeros out. There’d be ten-duotrigintillion of them! Counting to a googolplex would be even more impossible.
What is 10 googolplex?
Response: The company Google named their headquarters, the Googleplex, after the number. A googolplexplex or googolplexian is a 1 followed by a Googolplex amount of zeros which is 10 Googolplex(10 1010100). This short article about mathematics can be made longer. You can help Wikipedia by adding to it.
What is the difference between a googol and a googolplex?
A Googol is defined as 10100 10 100. A Googolplex is defined as 10Googol 10 Googol. A Googolplexian is defined as 10Googolplex 10 Googolplex. Intuitively, it seems to me that Graham’s number is larger (maybe because of it’s complex definition). Can anybody prove this?
How many zeros are in a googolplexian?
It is very, very big number. It is 1 followed by 3 googolplexian 3 zeroes. Googolplexian = 10 followed by googolplex zeroes. Googolplex = 10 followed by googol zeroes. Googol = 10 followed by 100 zeroes. How many zeros in googolplexian? How much is a googolplexianth? First, you need to know how much is googol.Googol is 10 with 100 more zeros.
What is 10 to the 100th power of a googol?
The reply will be: A googol is 10 to the 100th power, which is 1 followed by 100 zeros. While this is an unimaginably large number, there’s still an infinite quantity of larger numbers. One such number is googolplex, which is 10 to the power of a googol, or 1 followed by a googol of zeros.