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140,009

140,009 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.).

140,009 (one hundred forty thousand nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x222E9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
900,041
Recamán's sequence
a(488,809) = 140,009
Square (n²)
19,602,520,081
Cube (n³)
2,744,529,234,020,729
Divisor count
2
σ(n) — sum of divisors
140,010
φ(n) — Euler's totient
140,008

Primality

140,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 140009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 140,009)
1 × 140009
First multiples
140,009 · 280,018 (double) · 420,027 · 560,036 · 700,045 · 840,054 · 980,063 · 1,120,072 · 1,260,081 · 1,400,090

Sums & aliquot sequence

As a sum of two squares: 140² + 347²
As consecutive integers: 70,004 + 70,005

Continued fraction of √n

√140,009 = [374; (5, 1, 1, 1, 2, 39, 106, 1, 7, 1, 1, 18, 5, 1, 1, 2, 1, 14, 1, 1, 4, 13, 2, 1, …)]

Period length 49 — the block in parentheses repeats forever.

Representations

In words
one hundred forty thousand nine
Ordinal
140009th
Binary
100010001011101001
Octal
421351
Hexadecimal
0x222E9
Base64
AiLp
One's complement
4,294,827,286 (32-bit)
Scientific notation
1.40009 × 10⁵
As a duration
140,009 s = 1 day, 14 hours, 53 minutes, 29 seconds
In other bases
ternary (3) 21010001112
quaternary (4) 202023221
quinary (5) 13440014
senary (6) 3000105
septenary (7) 1122122
nonary (9) 233045
undecimal (11) 96211
duodecimal (12) 69035
tridecimal (13) 4b95c
tetradecimal (14) 39049
pentadecimal (15) 2b73e

As an angle

140,009° = 388 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμθʹ
Mayan (base 20)
𝋱·𝋪·𝋠·𝋩
Chinese
一十四萬零九
Chinese (financial)
壹拾肆萬零玖
In other modern scripts
Eastern Arabic ١٤٠٠٠٩ Devanagari १४०००९ Bengali ১৪০০০৯ Tamil ௧௪௦௦௦௯ Thai ๑๔๐๐๐๙ Tibetan ༡༤༠༠༠༩ Khmer ១៤០០០៩ Lao ໑໔໐໐໐໙ Burmese ၁၄၀၀၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𢋩
CJK Unified Ideograph-222E9
U+222E9
Other letter (Lo)

UTF-8 encoding: F0 A2 8B A9 (4 bytes).

Hex color
#0222E9
RGB(2, 34, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.34.233.

Address
0.2.34.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.34.233

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 140,009 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.