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古戈爾普勒克斯

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自然数

AI overview

A googolplex is an enormously large number equal to 10 raised to the power of a googol (which itself is 10 raised to the 100th power), making it incomprehensibly vast. It's too large to ever write out in full because doing so would require more digits than there are atoms in the observable universe, which is why it mainly serves as a mathematical concept rather than a practical quantity.

AI-generated from the Wikipedia summary — may contain errors.

Wikidata facts

Instance of
large number
Named after
googol
Show 8 more facts
discoverer or inventor
Edward Kasner
publication date
1940-00-00
Commons category
Googolplex
prime factor
5
name
googolplex
different from
Googleplex
number of decimal digits
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
maintained by WikiProject
WikiProject Mathematics

via Wikidata · CC0

Article · 中文

古戈爾普勒克斯(googolplex)是指(10的古戈爾次方),也就是: 這是1後有古戈爾(googol,)個0。美國數學家的侄子造出古戈爾一詞,卡斯納为古戈尔直接派生出古戈爾普勒克斯一詞。 因為一古戈爾比已知宇宙中基本粒子數目要多(後者估計在到之間),而一古戈爾普勒克斯的零的數目為一古戈爾,假設一普朗克時間可以寫一個零,需要約 倍現在宇宙的年齡的時間才能寫完。同時,假設一個零的大小為一普朗克長度,一古戈爾普勒克的長度相當於 個現今可觀測宇宙的直徑。所以要把古戈爾普勒克斯以十進位寫出來是不可能的,至少在初等函数范围内,这是一个“遥不可及”的数。 即使這樣,古戈爾普勒克斯仍是小於一些特別定義出來的,比如用高德納箭號表示法或斯坦豪斯-莫澤表示法表示的數,或是葛立恆數。更簡單的,可以用比古戈爾普勒克斯少的符號數目表示更大的數,例如這三個數比古戈爾普勒克斯大得多: * * (見Hyper運算符) * (見康威鏈式箭號表示法)

Abstract from DBpedia / Wikipedia · CC BY-SA