138,138
138,138 is a composite number, even.
138,138 (one hundred thirty-eight thousand one hundred thirty-eight) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2 × 3 × 7 × 11 × 13 × 23. Its proper divisors sum to 248,934, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B9A.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 576
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 831,831
- Recamán's sequence
- a(492,551) = 138,138
- Square (n²)
- 19,082,107,044
- Cube (n³)
- 2,635,964,102,844,072
- Divisor count
- 64
- σ(n) — sum of divisors
- 387,072
- φ(n) — Euler's totient
- 31,680
- Sum of prime factors
- 59
Primality
Prime factorization: 2 × 3 × 7 × 11 × 13 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,138 = [371; (1, 2, 43, 2, 1, 1, 4, 1, 1, 2, 43, 2, 1, 742)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand one hundred thirty-eight
- Ordinal
- 138138th
- Binary
- 100001101110011010
- Octal
- 415632
- Hexadecimal
- 0x21B9A
- Base64
- Ahua
- One's complement
- 4,294,829,157 (32-bit)
- Scientific notation
- 1.38138 × 10⁵
- As a duration
- 138,138 s = 1 day, 14 hours, 22 minutes, 18 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληρληʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋦·𝋲
- Chinese
- 一十三萬八千一百三十八
- Chinese (financial)
- 壹拾參萬捌仟壹佰參拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138138, here are decompositions:
- 31 + 138107 = 138138
- 37 + 138101 = 138138
- 59 + 138079 = 138138
- 61 + 138077 = 138138
- 67 + 138071 = 138138
- 79 + 138059 = 138138
- 97 + 138041 = 138138
- 131 + 138007 = 138138
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AE 9A (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.154.
- Address
- 0.2.27.154
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.154
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 138,138 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°.