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135,409

135,409 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.).

135,409 (one hundred thirty-five 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, 0x210F1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Self Number Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
904,531
Square (n²)
18,335,597,281
Cube (n³)
2,482,804,892,222,929
Divisor count
2
σ(n) — sum of divisors
135,410
φ(n) — Euler's totient
135,408

Primality

135,409 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135409
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,409)
1 × 135409
First multiples
135,409 · 270,818 (double) · 406,227 · 541,636 · 677,045 · 812,454 · 947,863 · 1,083,272 · 1,218,681 · 1,354,090

Sums & aliquot sequence

As a sum of two squares: 128² + 345²
As consecutive integers: 67,704 + 67,705

Continued fraction of √n

√135,409 = [367; (1, 48, 15, 3, 4, 1, 8, 2, 1, 1, 2, 1, 1, 6, 2, 2, 1, 104, 2, 2, 1, 6, 3, 2, …)]

Representations

In words
one hundred thirty-five thousand four hundred nine
Ordinal
135409th
Binary
100001000011110001
Octal
410361
Hexadecimal
0x210F1
Base64
AhDx
One's complement
4,294,831,886 (32-bit)
Scientific notation
1.35409 × 10⁵
As a duration
135,409 s = 1 day, 13 hours, 36 minutes, 49 seconds
In other bases
ternary (3) 20212202011
quaternary (4) 201003301
quinary (5) 13313114
senary (6) 2522521
septenary (7) 1102531
nonary (9) 225664
undecimal (11) 9280a
duodecimal (12) 66441
tridecimal (13) 49831
tetradecimal (14) 374c1
pentadecimal (15) 2a1c4

As an angle

135,409° = 376 × 360° + 49°
49° ≈ 0.855 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλευθʹ
Mayan (base 20)
𝋰·𝋲·𝋪·𝋩
Chinese
一十三萬五千四百零九
Chinese (financial)
壹拾參萬伍仟肆佰零玖
In other modern scripts
Eastern Arabic ١٣٥٤٠٩ Devanagari १३५४०९ Bengali ১৩৫৪০৯ Tamil ௧௩௫௪௦௯ Thai ๑๓๕๔๐๙ Tibetan ༡༣༥༤༠༩ Khmer ១៣៥៤០៩ Lao ໑໓໕໔໐໙ Burmese ၁၃၅၄၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 135403.

Unicode codepoint
𡃱
CJK Unified Ideograph-210F1
U+210F1
Other letter (Lo)

UTF-8 encoding: F0 A1 83 B1 (4 bytes).

Hex color
#0210F1
RGB(2, 16, 241)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.241.

Address
0.2.16.241
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.241

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 135,409 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.