122,408
122,408 is a composite number, even.
122,408 (one hundred twenty-two thousand four hundred eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 13 × 107. Its proper divisors sum to 149,752, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE28.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 804,221
- Square (n²)
- 14,983,718,464
- Cube (n³)
- 1,834,127,009,741,312
- Divisor count
- 32
- σ(n) — sum of divisors
- 272,160
- φ(n) — Euler's totient
- 50,880
- Sum of prime factors
- 137
Primality
Prime factorization: 2 3 × 11 × 13 × 107
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,408 = [349; (1, 6, 1, 1, 1, 1, 4, 1, 9, 2, 7, 2, 9, 1, 4, 1, 1, 1, 1, 6, 1, 698)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand four hundred eight
- Ordinal
- 122408th
- Binary
- 11101111000101000
- Octal
- 357050
- Hexadecimal
- 0x1DE28
- Base64
- Ad4o
- One's complement
- 4,294,844,887 (32-bit)
- Scientific notation
- 1.22408 × 10⁵
- As a duration
- 122,408 s = 1 day, 10 hours, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 · 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκβυηʹ
- Mayan (base 20)
- 𝋯·𝋦·𝋠·𝋨
- Chinese
- 一十二萬二千四百零八
- Chinese (financial)
- 壹拾貳萬貳仟肆佰零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122408, here are decompositions:
- 7 + 122401 = 122408
- 19 + 122389 = 122408
- 61 + 122347 = 122408
- 109 + 122299 = 122408
- 157 + 122251 = 122408
- 199 + 122209 = 122408
- 241 + 122167 = 122408
- 277 + 122131 = 122408
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.40.
- Address
- 0.1.222.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.222.40
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 122,408 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 122408 first appears in π at position 463,736 of the decimal expansion (the 463,736ordinal-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.