number.wiki
Live analysis

130,409

130,409 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

130,409 (one hundred thirty thousand four hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1FD69.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
904,031
Square (n²)
17,006,507,281
Cube (n³)
2,217,801,608,007,929
Divisor count
2
σ(n) — sum of divisors
130,410
φ(n) — Euler's totient
130,408

Primality

130,409 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 130409
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 130,409)
1 × 130409
First multiples
130,409 · 260,818 (double) · 391,227 · 521,636 · 652,045 · 782,454 · 912,863 · 1,043,272 · 1,173,681 · 1,304,090

Sums & aliquot sequence

As a sum of two squares: 100² + 347²
As consecutive integers: 65,204 + 65,205

Continued fraction of √n

√130,409 = [361; (8, 4, 1, 5, 1, 17, 4, 1, 12, 3, 28, 1, 1, 3, 2, 1, 4, 1, 4, 2, 17, 1, 1, 1, …)]

Representations

In words
one hundred thirty thousand four hundred nine
Ordinal
130409th
Binary
11111110101101001
Octal
376551
Hexadecimal
0x1FD69
Base64
Af1p
One's complement
4,294,836,886 (32-bit)
Scientific notation
1.30409 × 10⁵
As a duration
130,409 s = 1 day, 12 hours, 13 minutes, 29 seconds
In other bases
ternary (3) 20121212222
quaternary (4) 133311221
quinary (5) 13133114
senary (6) 2443425
septenary (7) 1052126
nonary (9) 217788
undecimal (11) 89a84
duodecimal (12) 63575
tridecimal (13) 47486
tetradecimal (14) 3574d
pentadecimal (15) 2898e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλυθʹ
Mayan (base 20)
𝋰·𝋦·𝋠·𝋩
Chinese
一十三萬零四百零九
Chinese (financial)
壹拾參萬零肆佰零玖
In other modern scripts
Eastern Arabic ١٣٠٤٠٩ Devanagari १३०४०९ Bengali ১৩০৪০৯ Tamil ௧௩௦௪௦௯ Thai ๑๓๐๔๐๙ Tibetan ༡༣༠༤༠༩ Khmer ១៣០៤០៩ Lao ໑໓໐໔໐໙ Burmese ၁၃၀၄၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 130411.

Hex color
#01FD69
RGB(1, 253, 105)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.253.105.

Address
0.1.253.105
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.253.105

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 130,409 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.