131,424
131,424 is a composite number, even.
131,424 (one hundred thirty-one thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 3 × 37². Its proper divisors sum to 223,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20160.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 96
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 424,131
- Recamán's sequence
- a(229,524) = 131,424
- Square (n²)
- 17,272,267,776
- Cube (n³)
- 2,269,990,520,193,024
- Divisor count
- 36
- σ(n) — sum of divisors
- 354,564
- φ(n) — Euler's totient
- 42,624
- Sum of prime factors
- 87
Primality
Prime factorization: 2 5 × 3 × 37 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,424 = [362; (1, 1, 9, 1, 2, 2, 7, 4, 1, 6, 2, 4, 15, 4, 1, 14, 3, 3, 3, 1, 1, 3, 1, 28, …)]
Representations
- In words
- one hundred thirty-one thousand four hundred twenty-four
- Ordinal
- 131424th
- Binary
- 100000000101100000
- Octal
- 400540
- Hexadecimal
- 0x20160
- Base64
- AgFg
- One's complement
- 4,294,835,871 (32-bit)
- Scientific notation
- 1.31424 × 10⁵
- As a duration
- 131,424 s = 1 day, 12 hours, 30 minutes, 24 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλαυκδʹ
- Mayan (base 20)
- 𝋰·𝋨·𝋫·𝋤
- Chinese
- 一十三萬一千四百二十四
- Chinese (financial)
- 壹拾參萬壹仟肆佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131424, here are decompositions:
- 11 + 131413 = 131424
- 43 + 131381 = 131424
- 53 + 131371 = 131424
- 61 + 131363 = 131424
- 67 + 131357 = 131424
- 103 + 131321 = 131424
- 107 + 131317 = 131424
- 113 + 131311 = 131424
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 85 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.96.
- Address
- 0.2.1.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.1.96
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 131,424 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 131424 first appears in π at position 415,859 of the decimal expansion (the 415,859ordinal-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°.