133,644
133,644 is a composite number, even.
133,644 (one hundred thirty-three thousand six hundred forty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 37 × 43. Its proper divisors sum to 240,884, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A0C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 864
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 446,331
- Square (n²)
- 17,860,718,736
- Cube (n³)
- 2,386,977,894,753,984
- Divisor count
- 48
- σ(n) — sum of divisors
- 374,528
- φ(n) — Euler's totient
- 36,288
- Sum of prime factors
- 94
Primality
Prime factorization: 2 2 × 3 × 7 × 37 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,644 = [365; (1, 1, 2, 1, 9, 29, 6, 1, 242, 1, 6, 29, 9, 1, 2, 1, 1, 730)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand six hundred forty-four
- Ordinal
- 133644th
- Binary
- 100000101000001100
- Octal
- 405014
- Hexadecimal
- 0x20A0C
- Base64
- AgoM
- One's complement
- 4,294,833,651 (32-bit)
- Scientific notation
- 1.33644 × 10⁵
- As a duration
- 133,644 s = 1 day, 13 hours, 7 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγχμδʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋢·𝋤
- Chinese
- 一十三萬三千六百四十四
- Chinese (financial)
- 壹拾參萬參仟陸佰肆拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133644, here are decompositions:
- 11 + 133633 = 133644
- 13 + 133631 = 133644
- 47 + 133597 = 133644
- 61 + 133583 = 133644
- 73 + 133571 = 133644
- 101 + 133543 = 133644
- 103 + 133541 = 133644
- 151 + 133493 = 133644
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A8 8C (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.12.
- Address
- 0.2.10.12
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.10.12
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 133,644 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 133644 first appears in π at position 435,800 of the decimal expansion (the 435,800ordinal-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°.