2147483647

2147483647
2147483647
数表 — 整数
2147483646 - 2147483647 - 2147483648

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命名
小寫二十一億四千七百四十八萬三千六百四十七
大寫貳拾壹億肆仟柒佰肆拾捌萬參仟陸佰肆拾柒
序數詞第二十一億四千七百四十八萬三千六百四十七
two billion one hundred forty-seven million four hundred eighty-three thousand six hundred and forty-seventh
識別
種類整數
性質
質數第105097565個
質因數分解（素数）
表示方式
值2147483647
算筹
希腊数字͵γχμζ´
羅馬數字
二进制1111111111111111111111111111111(2)
三进制12112122212110202101(3)
四进制1333333333333333(4)
五进制13344223434042(5)
八进制17777777777(8)
十二进制4BB2308A7(12)
十六进制7FFFFFFF(16)

2,147,483,647（二十一亿四千七百四十八万三千六百四十七）是2147483646與2147483648之間的自然數。它等于。它是第8个梅森素数，也是4個已知的双重梅森素数的其中一個。

欧拉在1772年用试除法判定这个数是梅森素数。[1][2]在1772年至1867年期间这个数是已知的最大素数。[3]

这个数表示为二进制为1111111111111111111111111111111（即31個1），是操作系统中最大的32位元符号型整型常量，例如Pascal語言中长整型的範圍是-2147483648~2147483647。

不少32位游戏的某个最大数据值都是2147483647，比如QQ农场的钱的数量，QQ炫舞的最大经验值，崩坏学园2曾经的最大伤害值，以及Minecraft1.13版本修改后的最高附魔等级等等。

YouTube计数器事件

2014年12月，谷歌宣称因YouTube上播放次数最多的视频，PSY的《江南Style》音乐视频的播放次数超过了播放计数器的最大值（32位正负整型，即2147483647），导致YouTube不得不将播放计数器升级至64位整型。[4] 后来谷歌承认这是一个玩笑。[5]

参见

參考資料

  1. ^ Gautschi, Walter. Mathematics of Computation, 1943–1993: A Half-Century of Computational Mathematics. Proceedings of Symposia in Applied Mathematics 48. Providence, Rhode Island: American Mathematical Society. 1994: 486. ISBN 978-0-8218-0291-5. 
  2. ^ Dunham, William. Euler: The Master of Us All需要免费注册. Washington, DC: Mathematical Association of America. 1999: 4. ISBN 978-0-88385-328-3. 
  3. ^ Caldwell, Chris. The Largest Known Prime by Year: A Brief History. The Prime Pages. University of Tennessee at Martin. 8 December 2009 [January 29, 2018]. （原始内容存档于2020-06-05）. 
  4. ^ Gangnam Style YouTube Overflow. （原始内容存档于2014-12-03）. 
  5. ^ Gangnam Style YouTube Overflow revisit. （原始内容存档于2015-10-30）. 

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