130,440
130,440 is a composite number, even.
130,440 (one hundred thirty thousand four hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 1,087. Its proper divisors sum to 261,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FD88.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 44,031
- Square (n²)
- 17,014,593,600
- Cube (n³)
- 2,219,383,589,184,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 391,680
- φ(n) — Euler's totient
- 34,752
- Sum of prime factors
- 1,101
Primality
Prime factorization: 2 3 × 3 × 5 × 1087
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√130,440 = [361; (6, 14, 1, 1, 2, 1, 5, 2, 1, 4, 1, 1, 1, 2, 12, 1, 1, 11, 1, 1, 12, 2, 1, 1, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty thousand four hundred forty
- Ordinal
- 130440th
- Binary
- 11111110110001000
- Octal
- 376610
- Hexadecimal
- 0x1FD88
- Base64
- Af2I
- One's complement
- 4,294,836,855 (32-bit)
- Scientific notation
- 1.3044 × 10⁵
- As a duration
- 130,440 s = 1 day, 12 hours, 14 minutes
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλυμʹ
- Mayan (base 20)
- 𝋰·𝋦·𝋢·𝋠
- Chinese
- 一十三萬零四百四十
- Chinese (financial)
- 壹拾參萬零肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130440, here are decompositions:
- 17 + 130423 = 130440
- 29 + 130411 = 130440
- 31 + 130409 = 130440
- 41 + 130399 = 130440
- 61 + 130379 = 130440
- 71 + 130369 = 130440
- 73 + 130367 = 130440
- 97 + 130343 = 130440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.253.136.
- Address
- 0.1.253.136
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.253.136
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 130,440 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 130440 first appears in π at position 111,540 of the decimal expansion (the 111,540ordinal-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°.