138,368
138,368 is a composite number, even.
138,368 (one hundred thirty-eight thousand three hundred sixty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 23 × 47. Its proper divisors sum to 155,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C80.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 29
- Digit product
- 3,456
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 863,831
- Recamán's sequence
- a(492,091) = 138,368
- Square (n²)
- 19,145,703,424
- Cube (n³)
- 2,649,152,691,372,032
- Divisor count
- 32
- σ(n) — sum of divisors
- 293,760
- φ(n) — Euler's totient
- 64,768
- Sum of prime factors
- 84
Primality
Prime factorization: 2 7 × 23 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,368 = [371; (1, 45, 2, 185, 2, 45, 1, 742)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand three hundred sixty-eight
- Ordinal
- 138368th
- Binary
- 100001110010000000
- Octal
- 416200
- Hexadecimal
- 0x21C80
- Base64
- AhyA
- One's complement
- 4,294,828,927 (32-bit)
- Scientific notation
- 1.38368 × 10⁵
- As a duration
- 138,368 s = 1 day, 14 hours, 26 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλητξηʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋲·𝋨
- Chinese
- 一十三萬八千三百六十八
- Chinese (financial)
- 壹拾參萬捌仟參佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138368, here are decompositions:
- 19 + 138349 = 138368
- 31 + 138337 = 138368
- 79 + 138289 = 138368
- 127 + 138241 = 138368
- 211 + 138157 = 138368
- 229 + 138139 = 138368
- 421 + 137947 = 138368
- 457 + 137911 = 138368
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B2 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.128.
- Address
- 0.2.28.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.28.128
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 138,368 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 138368 first appears in π at position 190,919 of the decimal expansion (the 190,919ordinal-suffix:th 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.