Googol is a number represented by 1 followed by 100 zeros (10^100), whereas Googolplexian is a number represented by 1 followed by a googolplex of zeros (10^10^100).
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A googol and googolplexian are both incredibly massive numbers, but the key difference lies in the number of zeros that follow the digit 1. A googol is represented by 1 followed by 100 zeros (10^100), whereas Googolplexian is a number represented by 1 followed by a googolplex of zeros (10^10^100).
According to the famed mathematician Edward Kasner, who coined the term “googol,” the number is so large that it exceeds the total number of elementary particles in the observable universe. In his book, “Mathematics and the Imagination,” Kasner writes, “Different people have quite different ideas of what a googol really is, and so most statements concerning it are pretty useless. One can try to get some idea of how big a googol really is, but it is not easy to do so. A googol is much larger than the number of elementary particles in the universe.”
In contrast, a googolplex, which is 1 followed by a googol of zeros, is even more mind-bogglingly massive. It’s nearly impossible to fathom the sheer size of such a number, but Kasner tried to illustrate it in his book by stating, “If you tried to write a googolplex, you couldn’t do it even if you wrote a digit every particle in the universe.”
Here are some interesting facts about googol and googolplexian:
- The first recorded use of the term “googol” was by Kasner’s young nephew, Milton Sirotta, who was inspired by the sheer size of the number.
- While a googolplexian is difficult to represent in written form, it’s considered to be the largest finite number with a defined name.
- The prefix “googolplex” has entered modern parlance as a term to describe an unimaginably large number or quantity.
- While googol and googolplexian are beyond the scope of what’s necessary in daily life, their study has contributed to important advancements in mathematics and computer science.
Further answers can be found here
A googol is a number that has 100 zeros, while a googolplex is a number that has 10 to the power of googol zeros, i.e. a 1 followed by 100 zeros. Googolplexian is one step further than Googolplex, with a 1 followed by a googolplex zeros. In decimal notation, a googolplex is written as 1 followed by 10^100 zeros, while a googolplexian is written as 1 followed by 10^(10^100) zeros.
To provide context, a googolplex is a number that has 10 to the power of googol zeros. A googol is a number that has 100 zeros. So, a googolplex is a number with a 1 followed by 100 zeros. And Googolplexian is one step further than Googolplex, with a 1 followed by a googolplex zeros.
Difference Between Googolplexian and Googolplex Googolplexian ➦ (humorous) The number 10 raised to the power of one googolplex. 0 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.
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.
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Thereof, How many zeros are in a Googolplexian? 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.
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Simply so, What is bigger googolplex or Googolplexian? Answer will be: A Googol is defined as 10100. A Googolplex is defined as 10Googol. A Googolplexian is defined as 10Googolplex.
Additionally, Is Googolplexian bigger than Graham number? The answer is: Graham’s number is also bigger than a googolplex, which Milton initially defined as a 1, followed by writing zeroes until you get tired, but is now commonly accepted to be 10googol=10(10100). A googleplex is significantly larger than the 48th Mersenne prime.
In respect to this, Is there a number bigger than Googolplexianth? What’s bigger than a googolplex? Even though a googolplex is immense, Graham’s number and Skewes’ number are much larger. Named after mathematicians Ronald Graham and Stanley Skewes, both numbers are so large that they can’t be represented in the observable universe.
Subsequently, What is the difference between googolplex and googol?
Answer will be: Googolplex is a derived term of googol. is that googolplex is (cardinal) the number 10^ {10^ {100}}, ten to the power of a googol while googol is (cardinal) the number 10 100, written as 1 followed by 100 zeros.
Subsequently, What is a googolplex number? 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.
Beside this, Why did John Kasner discuss googol and googolplex? Kasner discussed googol and googolplex to show the difference between incredibly large numbers and infinity. Kasner believed people overused the term “infinite” when they really only meant a large number, so he developed googol and googolplex to differentiate between the two concepts. Guess what?
Is Graham’s number bigger than a googolplex?
In reply to that: See YouTube or wikipedia for the defination of Graham’s number. A Googol is defined as 10 100. A Googolplex is defined as 10 Googol. A Googolplexian is defined as 10 Googolplex. Intuitively, it seems to me that Graham’s number is larger (maybe because of it’s complex definition).
Consequently, What is the difference between googolplex and googol?
Googolplex is a derived term of googol. is that googolplex is (cardinal) the number 10^ {10^ {100}}, ten to the power of a googol while googol is (cardinal) the number 10 100, written as 1 followed by 100 zeros.
What is a googolplex number?
Answer will be: 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.
Thereof, Is googolplexian less than 3 6?
Answer to this: So, Googolplexian is much smaller than a tower of exponents of 3 ‘s of length 6, or in other words Googolplexian is less than 3 ↑↑ 6. (using Knuth’s up-arrow notation .) Now, compare this with just the first layer of Graham’s number,i.e., 3 ↑↑↑↑ 3.
Similarly, Is Graham’s number bigger than a googolplex?
See YouTube or wikipedia for the defination of Graham’s number. A Googol is defined as 10 100. A Googolplex is defined as 10 Googol. A Googolplexian is defined as 10 Googolplex. Intuitively, it seems to me that Graham’s number is larger (maybe because of it’s complex definition).