138,512
138,512 is a composite number, even.
138,512 (one hundred thirty-eight thousand five hundred twelve) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 787. Its proper divisors sum to 154,624, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D10.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 240
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 215,831
- Recamán's sequence
- a(491,803) = 138,512
- Square (n²)
- 19,185,574,144
- Cube (n³)
- 2,657,432,245,833,728
- Divisor count
- 20
- σ(n) — sum of divisors
- 293,136
- φ(n) — Euler's totient
- 62,880
- Sum of prime factors
- 806
Primality
Prime factorization: 2 4 × 11 × 787
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,512 = [372; (5, 1, 4, 2, 1, 2, 4, 1, 1, 3, 1, 5, 1, 4, 5, 1, 1, 1, 8, 1, 3, 2, 3, 7, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand five hundred twelve
- Ordinal
- 138512th
- Binary
- 100001110100010000
- Octal
- 416420
- Hexadecimal
- 0x21D10
- Base64
- Ah0Q
- One's complement
- 4,294,828,783 (32-bit)
- Scientific notation
- 1.38512 × 10⁵
- As a duration
- 138,512 s = 1 day, 14 hours, 28 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρληφιβʹ
- Mayan (base 20)
- 𝋱·𝋦·𝋥·𝋬
- Chinese
- 一十三萬八千五百一十二
- Chinese (financial)
- 壹拾參萬捌仟伍佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138512, here are decompositions:
- 19 + 138493 = 138512
- 43 + 138469 = 138512
- 61 + 138451 = 138512
- 79 + 138433 = 138512
- 109 + 138403 = 138512
- 139 + 138373 = 138512
- 163 + 138349 = 138512
- 193 + 138319 = 138512
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B4 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.16.
- Address
- 0.2.29.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.29.16
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 138,512 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 138512 first appears in π at position 607,773 of the decimal expansion (the 607,773ordinal-suffix:rd 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.