133,144
133,144 is a composite number, even.
133,144 (one hundred thirty-three thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 17 × 89. Its proper divisors sum to 158,456, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20818.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 144
- Digital root
- 7
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 441,331
- Square (n²)
- 17,727,324,736
- Cube (n³)
- 2,360,286,924,649,984
- Divisor count
- 32
- σ(n) — sum of divisors
- 291,600
- φ(n) — Euler's totient
- 56,320
- Sum of prime factors
- 123
Primality
Prime factorization: 2 3 × 11 × 17 × 89
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,144 = [364; (1, 8, 91, 8, 1, 728)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand one hundred forty-four
- Ordinal
- 133144th
- Binary
- 100000100000011000
- Octal
- 404030
- Hexadecimal
- 0x20818
- Base64
- AggY
- One's complement
- 4,294,834,151 (32-bit)
- Scientific notation
- 1.33144 × 10⁵
- As a duration
- 133,144 s = 1 day, 12 hours, 59 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγρμδʹ
- Mayan (base 20)
- 𝋰·𝋬·𝋱·𝋤
- Chinese
- 一十三萬三千一百四十四
- Chinese (financial)
- 壹拾參萬參仟壹佰肆拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133144, here are decompositions:
- 23 + 133121 = 133144
- 41 + 133103 = 133144
- 47 + 133097 = 133144
- 71 + 133073 = 133144
- 131 + 133013 = 133144
- 173 + 132971 = 133144
- 191 + 132953 = 133144
- 197 + 132947 = 133144
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A0 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.24.
- Address
- 0.2.8.24
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.8.24
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 133,144 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 133144 first appears in π at position 803,220 of the decimal expansion (the 803,220ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.