149 (number)

From Wikipedia, the free encyclopedia

149 is the natural number between 148 and 150. It is also a prime number.

<< 140 141 142 143 144 145 146 147 148 149 >> List of numbers — Integers ← 100 110 120 130 140 150 160 170 180 190 →
Ordinal	One hundred [and] forty-nine
Cardinal	149th
Factorization	prime number
Roman numerals	CXLIX
Binary	10010101

In mathematics

149 is the 35th prime number, and with the next prime number, 151, is a twin prime, thus 149 is a Chen prime. 149 is a strong prime in the sense that it is more than the arithmetic mean of its two neighboring primes. 149 is an Eisenstein prime with no imaginary part and a real part of the form Failed to parse (Missing texvc executable; please see math/README to configure.): 3n - 1 .

Given 149, the Mertens function returns 0. 149 is a tribonacci number.

149 is a strictly non-palindromic number, meaning that it is not palindromic in any base from binary to base 147. However, in base 10, it is a full reptend prime, since the decimal expansion of 1/149 repeats 0067114093959731543624161073825503355704697986577181208053691275167785234899328859060402684563758389261744966442953020134228187919463087248322147651 infinitely.