138,288
138,288 is a composite number, even.
138,288 (one hundred thirty-eight thousand two hundred eighty-eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 43 × 67. Its proper divisors sum to 232,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C30.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 3,072
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 882,831
- Recamán's sequence
- a(492,251) = 138,288
- Square (n²)
- 19,123,570,944
- Cube (n³)
- 2,644,560,378,703,872
- Divisor count
- 40
- σ(n) — sum of divisors
- 371,008
- φ(n) — Euler's totient
- 44,352
- Sum of prime factors
- 121
Primality
Prime factorization: 2 4 × 3 × 43 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,288 = [371; (1, 6, 1, 2, 1, 45, 1, 2, 1, 6, 1, 742)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand two hundred eighty-eight
- Ordinal
- 138288th
- Binary
- 100001110000110000
- Octal
- 416060
- Hexadecimal
- 0x21C30
- Base64
- Ahww
- One's complement
- 4,294,829,007 (32-bit)
- Scientific notation
- 1.38288 × 10⁵
- As a duration
- 138,288 s = 1 day, 14 hours, 24 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλησπηʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋮·𝋨
- Chinese
- 一十三萬八千二百八十八
- Chinese (financial)
- 壹拾參萬捌仟貳佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138288, here are decompositions:
- 5 + 138283 = 138288
- 37 + 138251 = 138288
- 41 + 138247 = 138288
- 47 + 138241 = 138288
- 79 + 138209 = 138288
- 97 + 138191 = 138288
- 107 + 138181 = 138288
- 109 + 138179 = 138288
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B0 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.48.
- Address
- 0.2.28.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.28.48
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 138,288 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.