111,440
111,440 is a composite number, even.
111,440 (one hundred eleven thousand four hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 7 × 199. Its proper divisors sum to 186,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B350.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 44,111
- Recamán's sequence
- a(77,055) = 111,440
- Square (n²)
- 12,418,873,600
- Cube (n³)
- 1,383,959,273,984,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 297,600
- φ(n) — Euler's totient
- 38,016
- Sum of prime factors
- 219
Primality
Prime factorization: 2 4 × 5 × 7 × 199
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√111,440 = [333; (1, 4, 1, 3, 8, 1, 1, 9, 1, 9, 2, 1, 2, 1, 2, 9, 1, 9, 1, 1, 8, 3, 1, 4, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred eleven thousand four hundred forty
- Ordinal
- 111440th
- Binary
- 11011001101010000
- Octal
- 331520
- Hexadecimal
- 0x1B350
- Base64
- AbNQ
- One's complement
- 4,294,855,855 (32-bit)
- Scientific notation
- 1.1144 × 10⁵
- As a duration
- 111,440 s = 1 day, 6 hours, 57 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριαυμʹ
- Mayan (base 20)
- 𝋭·𝋲·𝋬·𝋠
- Chinese
- 一十一萬一千四百四十
- Chinese (financial)
- 壹拾壹萬壹仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 111440, here are decompositions:
- 13 + 111427 = 111440
- 31 + 111409 = 111440
- 67 + 111373 = 111440
- 103 + 111337 = 111440
- 139 + 111301 = 111440
- 211 + 111229 = 111440
- 223 + 111217 = 111440
- 229 + 111211 = 111440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.179.80.
- Address
- 0.1.179.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.179.80
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 111,440 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 111440 first appears in π at position 394,856 of the decimal expansion (the 394,856ordinal-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.