102334155

102334155 is a Fibonacci number in the sequence defined by F0 = 0, F1 = 1 and F_n = F_{n-1} + F_{n-2}. It is F40, making it the first Fibonacci number with nine digits. Its value is 102,334,155.

The number has several straightforward properties. It is odd and ends in 5, reflecting its divisibility by 5; in fact, 102,334,155 = 15 × 6,822,277, since F40 is also divisible by 3. Like all Fibonacci numbers, F40 can be expressed by the closed-form Binet formula, or approximated by phi^40 / sqrt(5), where phi is the golden ratio.

In combinatorics, Fibonacci numbers count certain tilings and paths. Specifically, the number of ways to tile a 2-by-39 rectangle with dominoes equals F40. Fibonacci numbers also arise in counting problems related to rabbit populations, branching structures, and many recursive processes.

Context and references. In the standard sequence of Fibonacci numbers, this term appears as part of the progression A000045 in the OEIS. It is commonly cited in mathematical examples and programming exercises as a representative large Fibonacci number and as a test case for algorithms that handle big integers.