149 (number)
Natural number
From Wikipedia, the free encyclopedia
149 (one hundred [and] forty-nine) is the natural number between 148 and 150.
| ||||
|---|---|---|---|---|
| Cardinal | one hundred forty-nine | |||
| Ordinal | 149th (one hundred forty-ninth) | |||
| Factorization | prime | |||
| Prime | 35th | |||
| Divisors | 1, 149 | |||
| Greek numeral | ΡÎδ | |||
| Roman numeral | CXLIX, cxlix | |||
| Binary | 100101012 | |||
| Ternary | 121123 | |||
| Senary | 4056 | |||
| Octal | 2258 | |||
| Duodecimal | 10512 | |||
| Hexadecimal | 9516 | |||
In mathematics
149 is the 35th prime number, the first prime whose difference from the previous prime is exactly 10,[1] an emirp, and an irregular prime.[2] After 1 and 127, it is the third smallest de Polignac number, an odd number that cannot be represented as a prime plus a power of two.[3] More strongly, after 1, it is the second smallest number that is not a sum of two prime powers.[4]
It is a tribonacci number, being the sum of the three preceding terms, 24, 44, 81.[5]
There are exactly 149 integer points in a closed circular disk of radius 7,[6] and exactly 149 ways of placing six queens (the maximum possible) on a 7 Ã 7 chess board so that each queen attacks exactly one other.[7] The barycentric subdivision of a tetrahedron produces an abstract simplicial complex with exactly 149 simplices.[8]
