138,424
138,424 is a composite number, even.
138,424 (one hundred thirty-eight thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11³ × 13. Its proper divisors sum to 169,016, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21CB8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 768
- Digital root
- 4
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 424,831
- Recamán's sequence
- a(491,979) = 138,424
- Square (n²)
- 19,161,203,776
- Cube (n³)
- 2,652,370,471,489,024
- Divisor count
- 32
- σ(n) — sum of divisors
- 307,440
- φ(n) — Euler's totient
- 58,080
- Sum of prime factors
- 52
Primality
Prime factorization: 2 3 × 11 3 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,424 = [372; (18, 1, 1, 1, 1, 29, 6, 5, 1, 61, 5, 1, 5, 2, 1, 2, 1, 1, 1, 1, 1, 5, 1, 1, …)]
Representations
- In words
- one hundred thirty-eight thousand four hundred twenty-four
- Ordinal
- 138424th
- Binary
- 100001110010111000
- Octal
- 416270
- Hexadecimal
- 0x21CB8
- Base64
- Ahy4
- One's complement
- 4,294,828,871 (32-bit)
- Scientific notation
- 1.38424 × 10⁵
- As a duration
- 138,424 s = 1 day, 14 hours, 27 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληυκδʹ
- Mayan (base 20)
- 𝋱·𝋦·𝋡·𝋤
- Chinese
- 一十三萬八千四百二十四
- Chinese (financial)
- 壹拾參萬捌仟肆佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138424, here are decompositions:
- 17 + 138407 = 138424
- 23 + 138401 = 138424
- 53 + 138371 = 138424
- 101 + 138323 = 138424
- 113 + 138311 = 138424
- 173 + 138251 = 138424
- 227 + 138197 = 138424
- 233 + 138191 = 138424
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B2 B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.184.
- Address
- 0.2.28.184
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.28.184
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 138,424 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 138424 first appears in π at position 309,700 of the decimal expansion (the 309,700ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.