135,744
135,744 is a composite number, even.
135,744 (one hundred thirty-five thousand seven hundred forty-four) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 7 × 101. Its proper divisors sum to 278,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21240.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 1,680
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 447,531
- Square (n²)
- 18,426,433,536
- Cube (n³)
- 2,501,277,793,910,784
- Divisor count
- 56
- σ(n) — sum of divisors
- 414,528
- φ(n) — Euler's totient
- 38,400
- Sum of prime factors
- 123
Primality
Prime factorization: 2 6 × 3 × 7 × 101
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,744 = [368; (2, 3, 3, 7, 15, 1, 1, 5, 1, 1, 2, 1, 7, 1, 3, 29, 4, 1, 1, 1, 1, 183, 1, 1, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand seven hundred forty-four
- Ordinal
- 135744th
- Binary
- 100001001001000000
- Octal
- 411100
- Hexadecimal
- 0x21240
- Base64
- AhJA
- One's complement
- 4,294,831,551 (32-bit)
- Scientific notation
- 1.35744 × 10⁵
- As a duration
- 135,744 s = 1 day, 13 hours, 42 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλεψμδʹ
- Mayan (base 20)
- 𝋰·𝋳·𝋧·𝋤
- Chinese
- 一十三萬五千七百四十四
- Chinese (financial)
- 壹拾參萬伍仟柒佰肆拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135744, here are decompositions:
- 13 + 135731 = 135744
- 17 + 135727 = 135744
- 23 + 135721 = 135744
- 43 + 135701 = 135744
- 47 + 135697 = 135744
- 73 + 135671 = 135744
- 83 + 135661 = 135744
- 97 + 135647 = 135744
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 89 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.64.
- Address
- 0.2.18.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.18.64
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 135,744 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°.