12,440
12,440 is a composite number, even.
12,440 (twelve thousand four hundred forty) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 311. Its proper divisors sum to 15,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3098.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 4,421
- Recamán's sequence
- a(21,904) = 12,440
- Square (n²)
- 154,753,600
- Cube (n³)
- 1,925,134,784,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 28,080
- φ(n) — Euler's totient
- 4,960
- Sum of prime factors
- 322
Primality
Prime factorization: 2 3 × 5 × 311
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√12,440 = [111; (1, 1, 6, 1, 2, 3, 1, 1, 1, 2, 1, 3, 1, 4, 1, 3, 1, 2, 1, 1, 1, 3, 2, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- twelve thousand four hundred forty
- Ordinal
- 12440th
- Binary
- 11000010011000
- Octal
- 30230
- Hexadecimal
- 0x3098
- Base64
- MJg=
- One's complement
- 53,095 (16-bit)
- Scientific notation
- 1.244 × 10⁴
- As a duration
- 12,440 s = 3 hours, 27 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιβυμʹ
- Mayan (base 20)
- 𝋡·𝋫·𝋢·𝋠
- Chinese
- 一萬二千四百四十
- Chinese (financial)
- 壹萬貳仟肆佰肆拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 12,440 = 6
- e — Euler's number (e)
- Digit 12,440 = 2
- φ — Golden ratio (φ)
- Digit 12,440 = 7
- √2 — Pythagoras's (√2)
- Digit 12,440 = 5
- ln 2 — Natural log of 2
- Digit 12,440 = 1
- γ — Euler-Mascheroni (γ)
- Digit 12,440 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12440, here are decompositions:
- 3 + 12437 = 12440
- 7 + 12433 = 12440
- 19 + 12421 = 12440
- 31 + 12409 = 12440
- 61 + 12379 = 12440
- 67 + 12373 = 12440
- 97 + 12343 = 12440
- 139 + 12301 = 12440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.0.48.152.
- Address
- 0.0.48.152
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.48.152
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 12,440 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G9 (12543.9 Hz, -14¢)
- Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, +23¢)
- Baroque pitch (A4 = 415 Hz): G♯9 (12534.7 Hz, -13¢)
The digit sequence 12440 first appears in π at position 142,517 of the decimal expansion (the 142,517ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.