A googolplexian is a number that is so large that it cannot be expressed with standard mathematical notation.
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A googolplexian is a number that is so large that it cannot be expressed with standard mathematical notation. It is a number that is vastly larger than a googol, which itself is 10 raised to the power of 100. As renowned physicist Richard Feynman famously said, “To write a number as large as googolplex in ordinary decimal notation would be impractical, because it would require writing ‘1’ followed by writing zeros until you ran out of observable universe.”
Here are some interesting facts about googolplexian:
- A googolplex can be written as 1 followed by a googol zeros, and a googolplexian is 1 followed by a googolplex zeros. The number of zeros in a googolplexian is so large that it is impossible to write out or even comprehend.
- In terms of physical space, a googolplexian is much larger than the number of particles in the observable universe. According to some estimates, there are around 10^80 particles in the observable universe, whereas a googolplexian is a number with more than 10^10^100 zeros.
- The concept of the googolplex was first introduced by mathematician Edward Kasner in his 1940 book “Mathematics and the Imagination,” which he co-authored with James Newman.
- While the googolplex and googolplexian are both incredibly large numbers, they are still finite. As Feynman said, “There are only finitely many numbers that we can represent with a finite number of symbols, so the size of the numbers we can talk about is permanently limited.”
- Despite their vastness, googolplex and googolplexian are still much smaller than the largest numbers that have been studied in mathematics. For example, the Graham’s number, which is a number that arose in the study of a mathematical problem called the “Ramsey theory,” is so large that it cannot even be expressed using certain advanced mathematical notations.
Here is a table comparing some large numbers, including googol and googolplexian:
|Graham’s Number||3 ↑↑↑ (3)|
In summary, a googolplexian is an incredibly large number that is practically impossible to comprehend or express in standard mathematical notation. Despite its vastness, it is still much smaller than other large numbers studied in mathematics. As Feynman put it, “It’s important to appreciate the limitations of our understanding and the vastness of the universe we inhabit.”
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Certainly! In this YouTube video titled “The Biggest Numbers in the World Size Comparison,” the speaker showcases a size comparison of various numbers, starting from the smallest unit of measurement (Planck length) and gradually moving to some of the largest numbers in the universe. The video uses a visual representation where each number is represented by a cube, with the size of the cube increasing as the number gets larger. Some of the numbers featured in the video include millions, billions, trillions, quadrillions, quintillions, and even numbers like googol and googolplex. The video also highlights various real-life applications and comparisons to help understand the scale of these numbers.
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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.
Nothing is bigger than a Googolplexian because a Googolplexian is equal to 10^ (10^100), or in other words, a Googolplexian is the largest number imaginable.
The biggest number referred to regularly is a googolplex (10googol), which works out as 1010^100.
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Written out in ordinary decimal notation, it is 1 followed by 10100 zeroes; that is, a 1 followed by a googol of zeroes.