474,144
474,144 is a composite number, even.
474,144 (four hundred seventy-four thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 11 × 449. Its proper divisors sum to 886,656, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73C20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 1,792
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 441,474
- Square (n²)
- 224,812,532,736
- Cube (n³)
- 106,593,513,521,577,984
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,360,800
- φ(n) — Euler's totient
- 143,360
- Sum of prime factors
- 473
Primality
Prime factorization: 2 5 × 3 × 11 × 449
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√474,144 = [688; (1, 1, 2, 1, 1, 2, 1, 1, 2, 13, 1, 4, 3, 1, 3, 13, 1, 1, 42, 1, 1, 13, 3, 1, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-four thousand one hundred forty-four
- Ordinal
- 474144th
- Binary
- 1110011110000100000
- Octal
- 1636040
- Hexadecimal
- 0x73C20
- Base64
- Bzwg
- One's complement
- 4,294,493,151 (32-bit)
- Scientific notation
- 4.74144 × 10⁵
- As a duration
- 474,144 s = 5 days, 11 hours, 42 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοδρμδʹ
- Chinese
- 四十七萬四千一百四十四
- Chinese (financial)
- 肆拾柒萬肆仟壹佰肆拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474144, here are decompositions:
- 7 + 474137 = 474144
- 17 + 474127 = 474144
- 43 + 474101 = 474144
- 67 + 474077 = 474144
- 71 + 474073 = 474144
- 101 + 474043 = 474144
- 107 + 474037 = 474144
- 127 + 474017 = 474144
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.60.32.
- Address
- 0.7.60.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.60.32
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 474,144 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 474144 first appears in π at position 361,810 of the decimal expansion (the 361,810ordinal-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°.