133,440
133,440 is a composite number, even.
133,440 (one hundred thirty-three thousand four hundred forty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 5 × 139. Its proper divisors sum to 293,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20940.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 44,331
- Recamán's sequence
- a(35,540) = 133,440
- Square (n²)
- 17,806,233,600
- Cube (n³)
- 2,376,063,811,584,000
- Divisor count
- 56
- σ(n) — sum of divisors
- 426,720
- φ(n) — Euler's totient
- 35,328
- Sum of prime factors
- 159
Primality
Prime factorization: 2 6 × 3 × 5 × 139
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,440 = [365; (3, 2, 1, 1, 11, 1, 1, 2, 3, 730)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand four hundred forty
- Ordinal
- 133440th
- Binary
- 100000100101000000
- Octal
- 404500
- Hexadecimal
- 0x20940
- Base64
- AglA
- One's complement
- 4,294,833,855 (32-bit)
- Scientific notation
- 1.3344 × 10⁵
- As a duration
- 133,440 s = 1 day, 13 hours, 4 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλγυμʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋬·𝋠
- Chinese
- 一十三萬三千四百四十
- Chinese (financial)
- 壹拾參萬參仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133440, here are decompositions:
- 23 + 133417 = 133440
- 37 + 133403 = 133440
- 53 + 133387 = 133440
- 61 + 133379 = 133440
- 89 + 133351 = 133440
- 103 + 133337 = 133440
- 113 + 133327 = 133440
- 137 + 133303 = 133440
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A5 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.64.
- Address
- 0.2.9.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.9.64
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 133,440 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 133440 first appears in π at position 48,898 of the decimal expansion (the 48,898ordinal-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°.