180,144
180,144 is a composite number, even.
180,144 (one hundred eighty thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 50 divisors, and factors as 2⁴ × 3⁴ × 139. Its proper divisors sum to 344,996, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2BFB0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 441,081
- Recamán's sequence
- a(465,439) = 180,144
- Square (n²)
- 32,451,860,736
- Cube (n³)
- 5,846,008,000,425,984
- Divisor count
- 50
- σ(n) — sum of divisors
- 525,140
- φ(n) — Euler's totient
- 59,616
- Sum of prime factors
- 159
Primality
Prime factorization: 2 4 × 3 4 × 139
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√180,144 = [424; (2, 3, 3, 1, 1, 1, 25, 1, 7, 1, 36, 53, 36, 1, 7, 1, 25, 1, 1, 1, 3, 3, 2, 848)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred eighty thousand one hundred forty-four
- Ordinal
- 180144th
- Binary
- 101011111110110000
- Octal
- 537660
- Hexadecimal
- 0x2BFB0
- Base64
- Ar+w
- One's complement
- 4,294,787,151 (32-bit)
- Scientific notation
- 1.80144 × 10⁵
- As a duration
- 180,144 s = 2 days, 2 hours, 2 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρπρμδʹ
- Chinese
- 一十八萬零一百四十四
- Chinese (financial)
- 壹拾捌萬零壹佰肆拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 180144, here are decompositions:
- 7 + 180137 = 180144
- 47 + 180097 = 180144
- 67 + 180077 = 180144
- 71 + 180073 = 180144
- 73 + 180071 = 180144
- 101 + 180043 = 180144
- 137 + 180007 = 180144
- 163 + 179981 = 180144
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 AB BE B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.191.176.
- Address
- 0.2.191.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.191.176
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 180,144 and was likely granted around 1875.
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°.