133,140
133,140 is a composite number, even.
133,140 (one hundred thirty-three thousand one hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 7 × 317. Its proper divisors sum to 294,252, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20814.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 41,331
- Square (n²)
- 17,726,259,600
- Cube (n³)
- 2,360,074,203,144,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 427,392
- φ(n) — Euler's totient
- 30,336
- Sum of prime factors
- 336
Primality
Prime factorization: 2 2 × 3 × 5 × 7 × 317
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,140 = [364; (1, 7, 1, 1, 2, 2, 1, 1, 1, 4, 1, 1, 5, 45, 2, 3, 12, 12, 12, 3, 2, 45, 5, 1, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand one hundred forty
- Ordinal
- 133140th
- Binary
- 100000100000010100
- Octal
- 404024
- Hexadecimal
- 0x20814
- Base64
- AggU
- One's complement
- 4,294,834,155 (32-bit)
- Scientific notation
- 1.3314 × 10⁵
- As a duration
- 133,140 s = 1 day, 12 hours, 59 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλγρμʹ
- Mayan (base 20)
- 𝋰·𝋬·𝋱·𝋠
- Chinese
- 一十三萬三千一百四十
- Chinese (financial)
- 壹拾參萬參仟壹佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133140, here are decompositions:
- 19 + 133121 = 133140
- 23 + 133117 = 133140
- 31 + 133109 = 133140
- 37 + 133103 = 133140
- 43 + 133097 = 133140
- 53 + 133087 = 133140
- 67 + 133073 = 133140
- 71 + 133069 = 133140
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A0 94 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.20.
- Address
- 0.2.8.20
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.8.20
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 133,140 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 133140 first appears in π at position 464,585 of the decimal expansion (the 464,585ordinal-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°.