131,400
131,400 is a composite number, even.
131,400 (one hundred thirty-one thousand four hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2³ × 3² × 5² × 73. Its proper divisors sum to 315,930, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20148.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 4,131
- Recamán's sequence
- a(24,451) = 131,400
- Square (n²)
- 17,265,960,000
- Cube (n³)
- 2,268,747,144,000,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 447,330
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 95
Primality
Prime factorization: 2 3 × 3 2 × 5 2 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,400 = [362; (2, 28, 2, 724)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand four hundred
- Ordinal
- 131400th
- Binary
- 100000000101001000
- Octal
- 400510
- Hexadecimal
- 0x20148
- Base64
- AgFI
- One's complement
- 4,294,835,895 (32-bit)
- Scientific notation
- 1.314 × 10⁵
- As a duration
- 131,400 s = 1 day, 12 hours, 30 minutes
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρλαυʹ
- Mayan (base 20)
- 𝋰·𝋨·𝋪·𝋠
- Chinese
- 一十三萬一千四百
- Chinese (financial)
- 壹拾參萬壹仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131400, here are decompositions:
- 19 + 131381 = 131400
- 29 + 131371 = 131400
- 37 + 131363 = 131400
- 43 + 131357 = 131400
- 79 + 131321 = 131400
- 83 + 131317 = 131400
- 89 + 131311 = 131400
- 97 + 131303 = 131400
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 85 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.72.
- Address
- 0.2.1.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.1.72
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 131,400 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 131400 first appears in π at position 144,771 of the decimal expansion (the 144,771ordinal-suffix:st 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°.