110,440
110,440 is a composite number, even.
110,440 (one hundred ten thousand four hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 11 × 251. Its proper divisors sum to 161,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AF68.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 44,011
- Recamán's sequence
- a(78,223) = 110,440
- Square (n²)
- 12,196,993,600
- Cube (n³)
- 1,347,035,973,184,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 272,160
- φ(n) — Euler's totient
- 40,000
- Sum of prime factors
- 273
Primality
Prime factorization: 2 3 × 5 × 11 × 251
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√110,440 = [332; (3, 13, 4, 3, 16, 3, 4, 13, 3, 664)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred ten thousand four hundred forty
- Ordinal
- 110440th
- Binary
- 11010111101101000
- Octal
- 327550
- Hexadecimal
- 0x1AF68
- Base64
- Aa9o
- One's complement
- 4,294,856,855 (32-bit)
- Scientific notation
- 1.1044 × 10⁵
- As a duration
- 110,440 s = 1 day, 6 hours, 40 minutes, 40 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριυμʹ
- Mayan (base 20)
- 𝋭·𝋰·𝋢·𝋠
- Chinese
- 一十一萬零四百四十
- Chinese (financial)
- 壹拾壹萬零肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110440, here are decompositions:
- 3 + 110437 = 110440
- 101 + 110339 = 110440
- 149 + 110291 = 110440
- 167 + 110273 = 110440
- 179 + 110261 = 110440
- 257 + 110183 = 110440
- 311 + 110129 = 110440
- 389 + 110051 = 110440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.175.104.
- Address
- 0.1.175.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.175.104
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 110,440 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 110440 first appears in π at position 606,105 of the decimal expansion (the 606,105ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.