138,042
138,042 is a composite number, even.
138,042 (one hundred thirty-eight thousand forty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 7,669. Its proper divisors sum to 161,088, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B3A.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 240,831
- Recamán's sequence
- a(492,743) = 138,042
- Square (n²)
- 19,055,593,764
- Cube (n³)
- 2,630,472,274,370,088
- Divisor count
- 12
- σ(n) — sum of divisors
- 299,130
- φ(n) — Euler's totient
- 46,008
- Sum of prime factors
- 7,677
Primality
Prime factorization: 2 × 3 2 × 7669
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,042 = [371; (1, 1, 5, 1, 2, 1, 9, 1, 2, 1, 1, 1, 5, 2, 5, 11, 1, 1, 1, 1, 2, 1, 4, 7, …)]
Representations
- In words
- one hundred thirty-eight thousand forty-two
- Ordinal
- 138042nd
- Binary
- 100001101100111010
- Octal
- 415472
- Hexadecimal
- 0x21B3A
- Base64
- Ahs6
- One's complement
- 4,294,829,253 (32-bit)
- Scientific notation
- 1.38042 × 10⁵
- As a duration
- 138,042 s = 1 day, 14 hours, 20 minutes, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλημβʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋢·𝋢
- Chinese
- 一十三萬八千零四十二
- Chinese (financial)
- 壹拾參萬捌仟零肆拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138042, here are decompositions:
- 43 + 137999 = 138042
- 59 + 137983 = 138042
- 101 + 137941 = 138042
- 109 + 137933 = 138042
- 131 + 137911 = 138042
- 173 + 137869 = 138042
- 193 + 137849 = 138042
- 211 + 137831 = 138042
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AC BA (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.58.
- Address
- 0.2.27.58
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.58
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 138,042 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 138042 first appears in π at position 127,461 of the decimal expansion (the 127,461ordinal-suffix:st digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.