432000000

432,000,000 is a natural number. It is commonly written as four hundred thirty-two million, and in scientific notation it can be expressed as 4.32 × 10^8.

Prime factorization and decimal properties: 432,000,000 = 2^10 × 3^3 × 5^6. The number ends with six zeros, a consequence of the 2^6 × 5^6 factor contributing six trailing zeros in decimal notation.

Arithmetic characteristics: The number has 308 positive divisors, since the divisor count is (10+1) × (3+1) × (6+1) = 308. Its Euler totient function is φ(432,000,000) = 115,200,000. It is divisible by 9 and by 8, among other divisors, reflecting its factorization.

Temporal representation: In time units, 432,000,000 seconds equal 5,000 days, which is about 13.7 years. This demonstrates how large integers can correspond to concrete durations when expressed in seconds.

Summary and context: As a round decimal with six trailing zeros, 432,000,000 is often used as an example of a large, factor-rich integer in mathematics and computer science. Its factorization and derived arithmetic properties illustrate common patterns in numbers with multiple powers of small primes.