122,144
122,144 is a composite number, even.
122,144 (one hundred twenty-two thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 11 × 347. Its proper divisors sum to 140,944, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 64
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 441,221
- Square (n²)
- 14,919,156,736
- Cube (n³)
- 1,822,285,480,361,984
- Divisor count
- 24
- σ(n) — sum of divisors
- 263,088
- φ(n) — Euler's totient
- 55,360
- Sum of prime factors
- 368
Primality
Prime factorization: 2 5 × 11 × 347
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,144 = [349; (2, 27, 2, 5, 1, 2, 3, 1, 1, 1, 3, 1, 99, 14, 3, 1, 11, 1, 20, 1, 11, 1, 3, 14, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand one hundred forty-four
- Ordinal
- 122144th
- Binary
- 11101110100100000
- Octal
- 356440
- Hexadecimal
- 0x1DD20
- Base64
- Ad0g
- One's complement
- 4,294,845,151 (32-bit)
- Scientific notation
- 1.22144 × 10⁵
- As a duration
- 122,144 s = 1 day, 9 hours, 55 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκβρμδʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋧·𝋤
- Chinese
- 一十二萬二千一百四十四
- Chinese (financial)
- 壹拾貳萬貳仟壹佰肆拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122144, here are decompositions:
- 13 + 122131 = 122144
- 103 + 122041 = 122144
- 151 + 121993 = 122144
- 181 + 121963 = 122144
- 193 + 121951 = 122144
- 223 + 121921 = 122144
- 277 + 121867 = 122144
- 433 + 121711 = 122144
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.32.
- Address
- 0.1.221.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.221.32
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 122,144 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 122144 first appears in π at position 821,379 of the decimal expansion (the 821,379ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.