138,516
138,516 is a composite number, even.
138,516 (one hundred thirty-eight thousand five hundred sixteen) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 17 × 97. Its proper divisors sum to 256,620, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D14.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 720
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 615,831
- Recamán's sequence
- a(491,795) = 138,516
- Square (n²)
- 19,186,682,256
- Cube (n³)
- 2,657,662,479,372,096
- Divisor count
- 48
- σ(n) — sum of divisors
- 395,136
- φ(n) — Euler's totient
- 36,864
- Sum of prime factors
- 128
Primality
Prime factorization: 2 2 × 3 × 7 × 17 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,516 = [372; (5, 1, 1, 1, 3, 5, 1, 7, 6, 7, 1, 5, 3, 1, 1, 1, 5, 744)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand five hundred sixteen
- Ordinal
- 138516th
- Binary
- 100001110100010100
- Octal
- 416424
- Hexadecimal
- 0x21D14
- Base64
- Ah0U
- One's complement
- 4,294,828,779 (32-bit)
- Scientific notation
- 1.38516 × 10⁵
- As a duration
- 138,516 s = 1 day, 14 hours, 28 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληφιϛʹ
- Mayan (base 20)
- 𝋱·𝋦·𝋥·𝋰
- Chinese
- 一十三萬八千五百一十六
- Chinese (financial)
- 壹拾參萬捌仟伍佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138516, here are decompositions:
- 5 + 138511 = 138516
- 19 + 138497 = 138516
- 23 + 138493 = 138516
- 47 + 138469 = 138516
- 67 + 138449 = 138516
- 83 + 138433 = 138516
- 89 + 138427 = 138516
- 109 + 138407 = 138516
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B4 94 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.20.
- Address
- 0.2.29.20
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.29.20
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 138,516 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 138516 first appears in π at position 757,944 of the decimal expansion (the 757,944ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.