138,864
138,864 is a composite number, even.
138,864 (one hundred thirty-eight thousand eight hundred sixty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 11 × 263. Its proper divisors sum to 253,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21E70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 4,608
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 468,831
- Recamán's sequence
- a(491,099) = 138,864
- Square (n²)
- 19,283,210,496
- Cube (n³)
- 2,677,743,742,316,544
- Divisor count
- 40
- σ(n) — sum of divisors
- 392,832
- φ(n) — Euler's totient
- 41,920
- Sum of prime factors
- 285
Primality
Prime factorization: 2 4 × 3 × 11 × 263
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,864 = [372; (1, 1, 1, 4, 2, 1, 2, 2, 3, 22, 3, 2, 2, 1, 2, 4, 1, 1, 1, 744)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand eight hundred sixty-four
- Ordinal
- 138864th
- Binary
- 100001111001110000
- Octal
- 417160
- Hexadecimal
- 0x21E70
- Base64
- Ah5w
- One's complement
- 4,294,828,431 (32-bit)
- Scientific notation
- 1.38864 × 10⁵
- As a duration
- 138,864 s = 1 day, 14 hours, 34 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληωξδʹ
- Mayan (base 20)
- 𝋱·𝋧·𝋣·𝋤
- Chinese
- 一十三萬八千八百六十四
- Chinese (financial)
- 壹拾參萬捌仟捌佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138864, here are decompositions:
- 23 + 138841 = 138864
- 43 + 138821 = 138864
- 67 + 138797 = 138864
- 71 + 138793 = 138864
- 101 + 138763 = 138864
- 137 + 138727 = 138864
- 181 + 138683 = 138864
- 223 + 138641 = 138864
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B9 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.112.
- Address
- 0.2.30.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.30.112
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 138,864 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°.