150 (number)
150 (one hundred [and] fifty) is the natural number following 149 and preceding 151.
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| Cardinal | one hundred fifty | |||
| Ordinal | 150th (one hundred fiftieth) | |||
| Factorization | 2 × 3 × 52 | |||
| Divisors | 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150 | |||
| Greek numeral | ΡΝ´ | |||
| Roman numeral | CL | |||
| Binary | 100101102 | |||
| Ternary | 121203 | |||
| Octal | 2268 | |||
| Duodecimal | 10612 | |||
| Hexadecimal | 9616 | |||
In mathematics
- 150 is the sum of eight consecutive primes (7 + 11 + 13 + 17 + 19 + 23 + 29 + 31). Given 150, the Mertens function returns 0.[1]
- The sum of Euler's totient function φ(x) over the first twenty-two integers is 150.
- 150 is a Harshad number and an abundant number.
In the Bible
- The last numbered Psalm in the Bible, Psalm 150, considered the one most often set to music.
- The number of sons of Ulam, who were combat archers, in the Census of the men of Israel upon return from exile (I Chronicles 8:40)
- In the Book of Genesis, the number of days the waters from the Great Flood persisted on the Earth before subsiding.
Manuscripts
In sports
- In Round 20 of the 2011 AFL season, Geelong inflicted the worst ever defeat on the Gold Coast Suns by 150 points.
In other fields
A Professor's Cube has 150 colored squares
150 is also:
- The number of degrees in the quincunx astrological aspect explored by Johannes Kepler.
- The approximate value for Dunbar's number, a theoretical value with implications in sociology and anthropology
- The total number of Power Stars in Super Mario 64 DS for the Nintendo DS
See also
References
- "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
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