481,440
481,440 is a composite number, even.
481,440 (four hundred eighty-one thousand four hundred forty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 17 × 59. Its proper divisors sum to 1,151,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x758A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 44,184
- Recamán's sequence
- a(142,696) = 481,440
- Square (n²)
- 231,784,473,600
- Cube (n³)
- 111,590,316,969,984,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,632,960
- φ(n) — Euler's totient
- 118,784
- Sum of prime factors
- 94
Primality
Prime factorization: 2 5 × 3 × 5 × 17 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√481,440 = [693; (1, 6, 12, 2, 1, 3, 1, 1, 1, 5, 7, 11, 3, 27, 1, 345, 1, 27, 3, 11, 7, 5, 1, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty-one thousand four hundred forty
- Ordinal
- 481440th
- Binary
- 1110101100010100000
- Octal
- 1654240
- Hexadecimal
- 0x758A0
- Base64
- B1ig
- One's complement
- 4,294,485,855 (32-bit)
- Scientific notation
- 4.8144 × 10⁵
- As a duration
- 481,440 s = 5 days, 13 hours, 44 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υπαυμʹ
- Chinese
- 四十八萬一千四百四十
- Chinese (financial)
- 肆拾捌萬壹仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 481440, here are decompositions:
- 7 + 481433 = 481440
- 23 + 481417 = 481440
- 31 + 481409 = 481440
- 53 + 481387 = 481440
- 61 + 481379 = 481440
- 67 + 481373 = 481440
- 97 + 481343 = 481440
- 137 + 481303 = 481440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.88.160.
- Address
- 0.7.88.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.88.160
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 481,440 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.