138,168
138,168 is a composite number, even.
138,168 (one hundred thirty-eight thousand one hundred sixty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 19 × 101. Its proper divisors sum to 259,632, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21BB8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 1,152
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 861,831
- Recamán's sequence
- a(492,491) = 138,168
- Square (n²)
- 19,090,396,224
- Cube (n³)
- 2,637,681,865,477,632
- Divisor count
- 48
- σ(n) — sum of divisors
- 397,800
- φ(n) — Euler's totient
- 43,200
- Sum of prime factors
- 132
Primality
Prime factorization: 2 3 × 3 2 × 19 × 101
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,168 = [371; (1, 2, 2, 3, 1, 8, 2, 2, 10, 15, 13, 4, 1, 3, 1, 1, 2, 9, 2, 1, 1, 3, 1, 4, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand one hundred sixty-eight
- Ordinal
- 138168th
- Binary
- 100001101110111000
- Octal
- 415670
- Hexadecimal
- 0x21BB8
- Base64
- Ahu4
- One's complement
- 4,294,829,127 (32-bit)
- Scientific notation
- 1.38168 × 10⁵
- As a duration
- 138,168 s = 1 day, 14 hours, 22 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληρξηʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋨·𝋨
- Chinese
- 一十三萬八千一百六十八
- Chinese (financial)
- 壹拾參萬捌仟壹佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138168, here are decompositions:
- 5 + 138163 = 138168
- 11 + 138157 = 138168
- 29 + 138139 = 138168
- 61 + 138107 = 138168
- 67 + 138101 = 138168
- 89 + 138079 = 138168
- 97 + 138071 = 138168
- 109 + 138059 = 138168
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AE B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.184.
- Address
- 0.2.27.184
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.184
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 138,168 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 138168 first appears in π at position 751,341 of the decimal expansion (the 751,341ordinal-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°.