132,049
132,049 is a prime, odd.
132,049 (one hundred thirty-two thousand forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x203D1.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 940,231
- Recamán's sequence
- a(228,274) = 132,049
- Square (n²)
- 17,436,938,401
- Cube (n³)
- 2,302,530,278,913,649
- Divisor count
- 2
- σ(n) — sum of divisors
- 132,050
- φ(n) — Euler's totient
- 132,048
Primality
132,049 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√132,049 = [363; (2, 1, 1, 2, 6, 1, 1, 6, 3, 1, 9, 1, 3, 2, 2, 1, 1, 2, 2, 3, 1, 9, 1, 3, …)]
Period length 33 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-two thousand forty-nine
- Ordinal
- 132049th
- Binary
- 100000001111010001
- Octal
- 401721
- Hexadecimal
- 0x203D1
- Base64
- AgPR
- One's complement
- 4,294,835,246 (32-bit)
- Scientific notation
- 1.32049 × 10⁵
- As a duration
- 132,049 s = 1 day, 12 hours, 40 minutes, 49 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλβμθʹ
- Mayan (base 20)
- 𝋰·𝋪·𝋢·𝋩
- Chinese
- 一十三萬二千零四十九
- Chinese (financial)
- 壹拾參萬貳仟零肆拾玖
Also seen as
UTF-8 encoding: F0 A0 8F 91 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.209.
- Address
- 0.2.3.209
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.3.209
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 132,049 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 132049 first appears in π at position 840,293 of the decimal expansion (the 840,293ordinal-suffix:rd 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
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.