140 (number)
140 (one hundred [and] forty) is the natural number following 139 and preceding 141.
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Cardinal | one hundred forty | |||
Ordinal | 140th (one hundred fortieth) | |||
Factorization | 22 × 5 × 7 | |||
Divisors | 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140 | |||
Greek numeral | ΡΜ´ | |||
Roman numeral | CXL | |||
Binary | 100011002 | |||
Ternary | 120123 | |||
Octal | 2148 | |||
Duodecimal | B812 | |||
Hexadecimal | 8C16 |
In mathematics
140 is an abundant number and a harmonic divisor number.[1] It is the sum of the squares of the first seven integers, which makes it a square pyramidal number, and in base 10 it is divisible by the sum of its digits, which makes it a Harshad number.
140 is an odious number because it has an odd number of ones in its binary representation. The sum of Euler's totient function φ(x) over the first twenty-one integers is 140.
140 is a repdigit in bases 13, 19, 27, 34, 69, and 139.
In other fields
140 is also:
- The number of varieties of ashes from different varieties of pipe, cigar, and cigarette tobacco included in the Sherlock Holmes monograph.
- The former Twitter entry-character limit, a well-known characteristic of the service (based on the text messaging limit)
- A film, based on the Twitter entry-character limit, created and edited by Frank Kelly of Ireland[2]
- The age that Job died at (Bible, Job 42:16)
- The atomic number of unquadnilium, a temporary chemical element
- PRO 140 antibody found on T lymphocytes of the human immune system
- Telephone directory assistance in Egypt
- A video game developed by Jeppe Carlsen
- The BPM (tempo) of the music genre Dubstep
See also
References
- "Sloane's A001599 : Harmonic or Ore numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
- Wired.com - June 23, 2009
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