138,744
138,744 is a composite number, even.
138,744 (one hundred thirty-eight thousand seven hundred forty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 41 × 47. Its proper divisors sum to 254,376, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21DF8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 2,688
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 447,831
- Recamán's sequence
- a(491,339) = 138,744
- Square (n²)
- 19,249,897,536
- Cube (n³)
- 2,670,807,783,734,784
- Divisor count
- 48
- σ(n) — sum of divisors
- 393,120
- φ(n) — Euler's totient
- 44,160
- Sum of prime factors
- 100
Primality
Prime factorization: 2 3 × 3 2 × 41 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,744 = [372; (2, 14, 1, 2, 2, 1, 1, 1, 31, 1, 3, 5, 1, 9, 1, 1, 36, 1, 2, 1, 1, 1, 2, 29, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand seven hundred forty-four
- Ordinal
- 138744th
- Binary
- 100001110111111000
- Octal
- 416770
- Hexadecimal
- 0x21DF8
- Base64
- Ah34
- One's complement
- 4,294,828,551 (32-bit)
- Scientific notation
- 1.38744 × 10⁵
- As a duration
- 138,744 s = 1 day, 14 hours, 32 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληψμδʹ
- Mayan (base 20)
- 𝋱·𝋦·𝋱·𝋤
- Chinese
- 一十三萬八千七百四十四
- Chinese (financial)
- 壹拾參萬捌仟柒佰肆拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138744, here are decompositions:
- 5 + 138739 = 138744
- 13 + 138731 = 138744
- 17 + 138727 = 138744
- 61 + 138683 = 138744
- 83 + 138661 = 138744
- 97 + 138647 = 138744
- 103 + 138641 = 138744
- 107 + 138637 = 138744
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B7 B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.248.
- Address
- 0.2.29.248
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.29.248
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 138,744 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°.