114,000
114,000 is a composite number, even.
114,000 (one hundred fourteen thousand) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5³ × 19. Its proper divisors sum to 272,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BD50.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 6
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 411
- Recamán's sequence
- a(56,787) = 114,000
- Square (n²)
- 12,996,000,000
- Cube (n³)
- 1,481,544,000,000,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 386,880
- φ(n) — Euler's totient
- 28,800
- Sum of prime factors
- 45
Primality
Prime factorization: 2 4 × 3 × 5 3 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√114,000 = [337; (1, 1, 1, 3, 3, 26, 1, 2, 2, 1, 1, 9, 1, 26, 9, 2, 9, 26, 1, 9, 1, 1, 2, 2, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred fourteen thousand
- Ordinal
- 114000th
- Binary
- 11011110101010000
- Octal
- 336520
- Hexadecimal
- 0x1BD50
- Base64
- Ab1Q
- One's complement
- 4,294,853,295 (32-bit)
- Scientific notation
- 1.14 × 10⁵
- As a duration
- 114,000 s = 1 day, 7 hours, 40 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼
- Greek (Milesian)
- ͵ριδ
- Mayan (base 20)
- 𝋮·𝋥·𝋠·𝋠
- Chinese
- 一十一萬四千
- Chinese (financial)
- 壹拾壹萬肆仟
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 114000, here are decompositions:
- 11 + 113989 = 114000
- 17 + 113983 = 114000
- 31 + 113969 = 114000
- 37 + 113963 = 114000
- 43 + 113957 = 114000
- 53 + 113947 = 114000
- 67 + 113933 = 114000
- 79 + 113921 = 114000
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.80.
- Address
- 0.1.189.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.189.80
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 114,000 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 114000 first appears in π at position 922,509 of the decimal expansion (the 922,509ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.