114,120
114,120 is a composite number, even.
114,120 (one hundred fourteen thousand one hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 5 × 317. Its proper divisors sum to 257,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BDC8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 21,411
- Recamán's sequence
- a(57,027) = 114,120
- Square (n²)
- 13,023,374,400
- Cube (n³)
- 1,486,227,486,528,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 372,060
- φ(n) — Euler's totient
- 30,336
- Sum of prime factors
- 334
Primality
Prime factorization: 2 3 × 3 2 × 5 × 317
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√114,120 = [337; (1, 4, 2, 4, 1, 1, 18, 4, 1, 1, 1, 1, 6, 1, 1, 74, 1, 1, 6, 1, 1, 1, 1, 4, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred fourteen thousand one hundred twenty
- Ordinal
- 114120th
- Binary
- 11011110111001000
- Octal
- 336710
- Hexadecimal
- 0x1BDC8
- Base64
- Ab3I
- One's complement
- 4,294,853,175 (32-bit)
- Scientific notation
- 1.1412 × 10⁵
- As a duration
- 114,120 s = 1 day, 7 hours, 42 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ριδρκʹ
- Mayan (base 20)
- 𝋮·𝋥·𝋦·𝋠
- Chinese
- 一十一萬四千一百二十
- Chinese (financial)
- 壹拾壹萬肆仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 114120, here are decompositions:
- 7 + 114113 = 114120
- 31 + 114089 = 114120
- 37 + 114083 = 114120
- 43 + 114077 = 114120
- 47 + 114073 = 114120
- 53 + 114067 = 114120
- 79 + 114041 = 114120
- 89 + 114031 = 114120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.200.
- Address
- 0.1.189.200
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.189.200
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 114,120 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 114120 first appears in π at position 93,315 of the decimal expansion (the 93,315ordinal-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°.