144,000
144,000 is a composite number, even.
144,000 (one hundred forty-four thousand) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁷ × 3² × 5³. Its proper divisors sum to 373,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23280.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 441
- Recamán's sequence
- a(220,416) = 144,000
- Square (n²)
- 20,736,000,000
- Cube (n³)
- 2,985,984,000,000,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 517,140
- φ(n) — Euler's totient
- 38,400
- Sum of prime factors
- 35
Primality
Prime factorization: 2 7 × 3 2 × 5 3
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√144,000 = [379; (2, 8, 1, 6, 1, 2, 3, 1, 1, 1, 2, 29, 1, 46, 2, 7, 10, 1, 1, 3, 1, 29, 1, 1, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- one hundred forty-four thousand
- Ordinal
- 144000th
- Binary
- 100011001010000000
- Octal
- 431200
- Hexadecimal
- 0x23280
- Base64
- AjKA
- One's complement
- 4,294,823,295 (32-bit)
- Scientific notation
- 1.44 × 10⁵
- As a duration
- 144,000 s = 1 day, 16 hours
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋 · ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼
- Greek (Milesian)
- ͵ρμδ
- Mayan (base 20)
- 𝋲·𝋠·𝋠·𝋠
- Chinese
- 一十四萬四千
- Chinese (financial)
- 壹拾肆萬肆仟
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 144000, here are decompositions:
- 19 + 143981 = 144000
- 23 + 143977 = 144000
- 29 + 143971 = 144000
- 47 + 143953 = 144000
- 53 + 143947 = 144000
- 127 + 143873 = 144000
- 167 + 143833 = 144000
- 173 + 143827 = 144000
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A3 8A 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.50.128.
- Address
- 0.2.50.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.50.128
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 144,000 and was likely granted around 1873.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 144000 first appears in π at position 172,626 of the decimal expansion (the 172,626ordinal-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°.