116,116
116,116 is a composite number, even.
116,116 (one hundred sixteen thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 7 × 11 × 13 × 29. Its proper divisors sum to 166,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C594.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 36
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 611,611
- Flips to (rotate 180°)
- 911,911
- Square (n²)
- 13,482,925,456
- Cube (n³)
- 1,565,583,372,248,896
- Divisor count
- 48
- σ(n) — sum of divisors
- 282,240
- φ(n) — Euler's totient
- 40,320
- Sum of prime factors
- 64
Primality
Prime factorization: 2 2 × 7 × 11 × 13 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√116,116 = [340; (1, 3, 7, 1, 1, 2, 2, 75, 3, 3, 1, 3, 1, 26, 2, 7, 1, 11, 1, 41, 1, 2, 19, 7, …)]
Representations
- In words
- one hundred sixteen thousand one hundred sixteen
- Ordinal
- 116116th
- Binary
- 11100010110010100
- Octal
- 342624
- Hexadecimal
- 0x1C594
- Base64
- AcWU
- One's complement
- 4,294,851,179 (32-bit)
- Scientific notation
- 1.16116 × 10⁵
- As a duration
- 116,116 s = 1 day, 8 hours, 15 minutes, 16 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριϛριϛʹ
- Mayan (base 20)
- 𝋮·𝋪·𝋥·𝋰
- Chinese
- 一十一萬六千一百一十六
- Chinese (financial)
- 壹拾壹萬陸仟壹佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116116, here are decompositions:
- 3 + 116113 = 116116
- 17 + 116099 = 116116
- 89 + 116027 = 116116
- 107 + 116009 = 116116
- 137 + 115979 = 116116
- 233 + 115883 = 116116
- 239 + 115877 = 116116
- 257 + 115859 = 116116
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.197.148.
- Address
- 0.1.197.148
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.197.148
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 116,116 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 116116 first appears in π at position 340,561 of the decimal expansion (the 340,561ordinal-suffix:st 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.