131,440
131,440 is a composite number, even.
131,440 (one hundred thirty-one thousand four hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 31 × 53. Its proper divisors sum to 189,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20170.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 13
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 44,131
- Recamán's sequence
- a(229,492) = 131,440
- Square (n²)
- 17,276,473,600
- Cube (n³)
- 2,270,819,689,984,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 321,408
- φ(n) — Euler's totient
- 49,920
- Sum of prime factors
- 97
Primality
Prime factorization: 2 4 × 5 × 31 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,440 = [362; (1, 1, 4, 1, 6, 1, 2, 1, 3, 2, 1, 1, 1, 4, 2, 2, 5, 1, 2, 5, 1, 1, 1, 3, …)]
Representations
- In words
- one hundred thirty-one thousand four hundred forty
- Ordinal
- 131440th
- Binary
- 100000000101110000
- Octal
- 400560
- Hexadecimal
- 0x20170
- Base64
- AgFw
- One's complement
- 4,294,835,855 (32-bit)
- Scientific notation
- 1.3144 × 10⁵
- As a duration
- 131,440 s = 1 day, 12 hours, 30 minutes, 40 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλαυμʹ
- Mayan (base 20)
- 𝋰·𝋨·𝋬·𝋠
- Chinese
- 一十三萬一千四百四十
- Chinese (financial)
- 壹拾參萬壹仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131440, here are decompositions:
- 3 + 131437 = 131440
- 59 + 131381 = 131440
- 83 + 131357 = 131440
- 137 + 131303 = 131440
- 173 + 131267 = 131440
- 191 + 131249 = 131440
- 227 + 131213 = 131440
- 269 + 131171 = 131440
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 85 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.112.
- Address
- 0.2.1.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.1.112
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 131,440 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 131440 first appears in π at position 35,928 of the decimal expansion (the 35,928ordinal-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.