138,312
138,312 is a composite number, even.
138,312 (one hundred thirty-eight thousand three hundred twelve) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 17 × 113. Its proper divisors sum to 261,828, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C48.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 144
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 213,831
- Recamán's sequence
- a(492,203) = 138,312
- Square (n²)
- 19,130,209,344
- Cube (n³)
- 2,645,937,514,787,328
- Divisor count
- 48
- σ(n) — sum of divisors
- 400,140
- φ(n) — Euler's totient
- 43,008
- Sum of prime factors
- 142
Primality
Prime factorization: 2 3 × 3 2 × 17 × 113
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,312 = [371; (1, 9, 3, 82, 3, 9, 1, 742)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand three hundred twelve
- Ordinal
- 138312th
- Binary
- 100001110001001000
- Octal
- 416110
- Hexadecimal
- 0x21C48
- Base64
- AhxI
- One's complement
- 4,294,828,983 (32-bit)
- Scientific notation
- 1.38312 × 10⁵
- As a duration
- 138,312 s = 1 day, 14 hours, 25 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλητιβʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋯·𝋬
- Chinese
- 一十三萬八千三百一十二
- Chinese (financial)
- 壹拾參萬捌仟參佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138312, here are decompositions:
- 23 + 138289 = 138312
- 29 + 138283 = 138312
- 61 + 138251 = 138312
- 71 + 138241 = 138312
- 73 + 138239 = 138312
- 103 + 138209 = 138312
- 131 + 138181 = 138312
- 149 + 138163 = 138312
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B1 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.72.
- Address
- 0.2.28.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.28.72
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 138,312 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.