133,042
133,042 is a composite number, even.
133,042 (one hundred thirty-three thousand forty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 7 × 13 × 17 × 43. Its proper divisors sum to 133,070, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207B2.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 13
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 240,331
- Square (n²)
- 17,700,173,764
- Cube (n³)
- 2,354,866,517,910,088
- Divisor count
- 32
- σ(n) — sum of divisors
- 266,112
- φ(n) — Euler's totient
- 48,384
- Sum of prime factors
- 82
Primality
Prime factorization: 2 × 7 × 13 × 17 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,042 = [364; (1, 2, 1, 80, 3, 3, 1, 1, 1, 8, 2, 1, 2, 1, 1, 1, 1, 5, 7, 1, 1, 2, 1, 1, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand forty-two
- Ordinal
- 133042nd
- Binary
- 100000011110110010
- Octal
- 403662
- Hexadecimal
- 0x207B2
- Base64
- Agey
- One's complement
- 4,294,834,253 (32-bit)
- Scientific notation
- 1.33042 × 10⁵
- As a duration
- 133,042 s = 1 day, 12 hours, 57 minutes, 22 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλγμβʹ
- Mayan (base 20)
- 𝋰·𝋬·𝋬·𝋢
- Chinese
- 一十三萬三千零四十二
- Chinese (financial)
- 壹拾參萬參仟零肆拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133042, here are decompositions:
- 3 + 133039 = 133042
- 29 + 133013 = 133042
- 53 + 132989 = 133042
- 71 + 132971 = 133042
- 89 + 132953 = 133042
- 113 + 132929 = 133042
- 131 + 132911 = 133042
- 149 + 132893 = 133042
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 9E B2 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.178.
- Address
- 0.2.7.178
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.7.178
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 133,042 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 133042 first appears in π at position 566,295 of the decimal expansion (the 566,295ordinal-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.