114,400
114,400 is a composite number, even.
114,400 (one hundred fourteen thousand four hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 5² × 11 × 13. Its proper divisors sum to 213,704, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BEE0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 4,411
- Recamán's sequence
- a(57,587) = 114,400
- Square (n²)
- 13,087,360,000
- Cube (n³)
- 1,497,193,984,000,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 328,104
- φ(n) — Euler's totient
- 38,400
- Sum of prime factors
- 44
Primality
Prime factorization: 2 5 × 5 2 × 11 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√114,400 = [338; (4, 2, 1, 74, 2, 7, 1, 5, 1, 7, 2, 74, 1, 2, 4, 676)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred fourteen thousand four hundred
- Ordinal
- 114400th
- Binary
- 11011111011100000
- Octal
- 337340
- Hexadecimal
- 0x1BEE0
- Base64
- Ab7g
- One's complement
- 4,294,852,895 (32-bit)
- Scientific notation
- 1.144 × 10⁵
- As a duration
- 114,400 s = 1 day, 7 hours, 46 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ριδυʹ
- Mayan (base 20)
- 𝋮·𝋦·𝋠·𝋠
- Chinese
- 一十一萬四千四百
- Chinese (financial)
- 壹拾壹萬肆仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 114400, here are decompositions:
- 23 + 114377 = 114400
- 29 + 114371 = 114400
- 71 + 114329 = 114400
- 89 + 114311 = 114400
- 101 + 114299 = 114400
- 131 + 114269 = 114400
- 179 + 114221 = 114400
- 197 + 114203 = 114400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.190.224.
- Address
- 0.1.190.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.190.224
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 114,400 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 114400 first appears in π at position 394,064 of the decimal expansion (the 394,064ordinal-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.