114,048
114,048 is a composite number, even.
114,048 (one hundred fourteen thousand forty-eight) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁷ × 3⁴ × 11. Its proper divisors sum to 256,212, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BD80.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 840,411
- Recamán's sequence
- a(56,883) = 114,048
- Square (n²)
- 13,006,946,304
- Cube (n³)
- 1,483,416,212,078,592
- Divisor count
- 80
- σ(n) — sum of divisors
- 370,260
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 37
Primality
Prime factorization: 2 7 × 3 4 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√114,048 = [337; (1, 2, 2, 4, 3, 1, 4, 1, 1, 18, 4, 1, 2, 41, 1, 5, 1, 74, 5, 3, 1, 3, 1, 12, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- one hundred fourteen thousand forty-eight
- Ordinal
- 114048th
- Binary
- 11011110110000000
- Octal
- 336600
- Hexadecimal
- 0x1BD80
- Base64
- Ab2A
- One's complement
- 4,294,853,247 (32-bit)
- Scientific notation
- 1.14048 × 10⁵
- As a duration
- 114,048 s = 1 day, 7 hours, 40 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριδμηʹ
- Mayan (base 20)
- 𝋮·𝋥·𝋢·𝋨
- Chinese
- 一十一萬四千零四十八
- Chinese (financial)
- 壹拾壹萬肆仟零肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 114048, here are decompositions:
- 5 + 114043 = 114048
- 7 + 114041 = 114048
- 17 + 114031 = 114048
- 47 + 114001 = 114048
- 59 + 113989 = 114048
- 79 + 113969 = 114048
- 101 + 113947 = 114048
- 127 + 113921 = 114048
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.128.
- Address
- 0.1.189.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.189.128
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 114,048 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 114048 first appears in π at position 862,437 of the decimal expansion (the 862,437ordinal-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°.