138,040
138,040 is a composite number, even.
138,040 (one hundred thirty-eight thousand forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 7 × 17 × 29. Its proper divisors sum to 250,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B38.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 40,831
- Recamán's sequence
- a(492,747) = 138,040
- Square (n²)
- 19,055,041,600
- Cube (n³)
- 2,630,357,942,464,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 388,800
- φ(n) — Euler's totient
- 43,008
- Sum of prime factors
- 64
Primality
Prime factorization: 2 3 × 5 × 7 × 17 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,040 = [371; (1, 1, 6, 5, 6, 1, 1, 742)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand forty
- Ordinal
- 138040th
- Binary
- 100001101100111000
- Octal
- 415470
- Hexadecimal
- 0x21B38
- Base64
- Ahs4
- One's complement
- 4,294,829,255 (32-bit)
- Scientific notation
- 1.3804 × 10⁵
- As a duration
- 138,040 s = 1 day, 14 hours, 20 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλημʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋢·𝋠
- Chinese
- 一十三萬八千零四十
- Chinese (financial)
- 壹拾參萬捌仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138040, here are decompositions:
- 41 + 137999 = 138040
- 47 + 137993 = 138040
- 83 + 137957 = 138040
- 107 + 137933 = 138040
- 113 + 137927 = 138040
- 131 + 137909 = 138040
- 167 + 137873 = 138040
- 173 + 137867 = 138040
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AC B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.56.
- Address
- 0.2.27.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.56
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 138,040 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.