138,144
138,144 is a composite number, even.
138,144 (one hundred thirty-eight thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 1,439. Its proper divisors sum to 224,736, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21BA0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 384
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 441,831
- Recamán's sequence
- a(492,539) = 138,144
- Square (n²)
- 19,083,764,736
- Cube (n³)
- 2,636,307,595,689,984
- Divisor count
- 24
- σ(n) — sum of divisors
- 362,880
- φ(n) — Euler's totient
- 46,016
- Sum of prime factors
- 1,452
Primality
Prime factorization: 2 5 × 3 × 1439
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,144 = [371; (1, 2, 10, 7, 2, 1, 31, 1, 1, 1, 3, 4, 2, 1, 2, 7, 2, 1, 2, 4, 3, 1, 1, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand one hundred forty-four
- Ordinal
- 138144th
- Binary
- 100001101110100000
- Octal
- 415640
- Hexadecimal
- 0x21BA0
- Base64
- Ahug
- One's complement
- 4,294,829,151 (32-bit)
- Scientific notation
- 1.38144 × 10⁵
- As a duration
- 138,144 s = 1 day, 14 hours, 22 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληρμδʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋧·𝋤
- Chinese
- 一十三萬八千一百四十四
- Chinese (financial)
- 壹拾參萬捌仟壹佰肆拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138144, here are decompositions:
- 5 + 138139 = 138144
- 31 + 138113 = 138144
- 37 + 138107 = 138144
- 43 + 138101 = 138144
- 67 + 138077 = 138144
- 73 + 138071 = 138144
- 103 + 138041 = 138144
- 137 + 138007 = 138144
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AE A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.160.
- Address
- 0.2.27.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.160
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 138,144 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°.