# 149 (number)

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Cardinal | one hundred forty-nine | |||

Ordinal |
149th (one hundred forty-ninth) | |||

Factorization | prime | |||

Prime | 35th | |||

Divisors | 1, 149 | |||

Greek numeral | ΡΜΘ´ | |||

Roman numeral | CXLIX | |||

Binary |
10010101_{2} | |||

Ternary |
12112_{3} | |||

Quaternary |
2111_{4} | |||

Quinary |
1044_{5} | |||

Senary |
405_{6} | |||

Octal |
225_{8} | |||

Duodecimal |
105_{12} | |||

Hexadecimal |
95_{16} | |||

Vigesimal |
79_{20} | |||

Base 36 |
45_{36} |

**149** (**one hundred [and] forty-nine**) is the natural number between 148 and 150. It is also a prime number.

## Contents

## In mathematics[edit]

149 is the 35th prime number, and with the next prime number, 151, is a twin prime, thus 149 is a Chen prime.^{[1]}

149 is an emirp, since the number 941 is also prime.^{[2]}

149 is a strong prime in the sense that it is more than the arithmetic mean of its two neighboring primes.

149 is an irregular prime since it divides the numerator of the Bernoulli number B_{130}.

149 is an Eisenstein prime with no imaginary part and a real part of the form .

The repunit with 149 1s is a prime in base 5 and base 7.

Given 149, the Mertens function returns 0.^{[3]} It is the third prime having this property.^{[4]}

149 is a tribonacci number, being the sum of the three preceding terms, 24, 44, 81.^{[5]}

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 (and also base 2), it is a full reptend prime, since the decimal expansion of 1/149 repeats 006711409395973154362416107382550335570469798657718120805369127516778523489932885906040268 4563758389261744966442953020134228187919463087248322147651 indefinitely.

## In the military[edit]

- CH-149 Cormorant Canadian Forces search and rescue helicopter
- United States Military Form DD 149, Application for Correction of Military Record
- USS
*Atakapa*(ATF-149) was a United States Navy*Abnaki*-class fleet ocean tug during World War II - USS
*Audubon*(APA-149) was a United States Navy*Haskell*-class attack transport during World War II - USS
*Augury*(AM-149) was a United States Navy*Admirable*-class minesweeper during World War II - USS
*Barney*(DD-149) was a United States Navy*Wickes*-class destroyer during World War II - USS
*Chatelain*(DE-149) was a United States Navy*Edsall*-class destroyer escort during World War II - USS
*General J. H. McRae*(AP-149) was a United States Navy*General G. O. Squier*-class transport ship during World War II - USS
*Nightingale*(AMc-149) was a United States Navy*Nightingale*-class coastal minesweeper during World War II - USS
*Trefoil*(IX-149) was a United States Navy*Trefoil*-class concrete barge during World War II

## In transportation[edit]

- The Alfa Romeo 149 car
- The Detroit Diesel 149 series of diesel engines of the 1960s
- British Airways Flight 149 between London and Kuala Lumpur, Malaysia, which was captured by Iraqi forces on August 1, 1990
- 149th Street Tunnel carries the 2 train of the New York City Subway under the Harlem River between Manhattan and the Bronx
- These New York City Subway stations:
- East 149th Street (IRT Pelham Line); serving the 6 train
- 149th Street – Grand Concourse (New York City Subway), a station complex consisting of:
- 149th Street – Grand Concourse (IRT Jerome Avenue Line); serving the 4 train
- 149th Street – Grand Concourse (IRT White Plains Road Line); serving the 2 and 5 trains

- Third Avenue – 149th Street (IRT White Plains Road Line); serving the 2 and 5 trains

## In other fields[edit]

**149** is also:

- The year AD 149 or 149 BC
- 149 AH is a year in the Islamic calendar that corresponds to 765 – 766 CE
- 149 Medusa is a bright-colored, stony main belt asteroid
- The atomic number of an element temporarily called unquadinonium
- Psalm 149
- Shakespeare's Sonnet 149
- Graffiti artist Stay High 149 painted on the New York City Subway during the 1970s
- Nix v. Hedden, 149 U.S. 304 (1893) was a United States Supreme Court case that addressed whether a tomato is a fruit or a vegetable
- Trial of the 149 legal proceedings against 149 communists in Estonia in 1924

## See also[edit]

- List of highways numbered 149
- United Nations Security Council Resolution 149
- United States Supreme Court cases, Volume 149

## References[edit]

**^**"Sloane's A109611 : Chen primes: primes p such that p + 2 is either a prime or a semiprime".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-29.**^**"Sloane's A006567 : Emirps".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-28.**^**"Sloane's A028442 : Numbers n such that Mertens' function is zero".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-28.**^**"Sloane's A100669 : Zeros of the Mertens function that are also prime".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-29.**^**"Sloane's A000073 : Tribonacci numbers".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-28.

## External links[edit]

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