number.wiki
Number

40,009

40,009 is a prime, odd.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
16 bits
Reversed
90,004
Square (n²)
1,600,720,081
Cube (n³)
64,043,209,720,729
Divisor count
2
σ(n) — sum of divisors
40,010
φ(n) — Euler's totient
40,008

Primality

40,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 40009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 40,009)
1 × 40009
First multiples
40,009 · 80,018 (double) · 120,027 · 160,036 · 200,045 · 240,054 · 280,063 · 320,072 · 360,081 · 400,090

Sums & aliquot sequence

As a sum of two squares: 3² + 200²
As consecutive integers: 20,004 + 20,005

Representations

In words
forty thousand nine
Ordinal
40009th
Binary
1001110001001001
Octal
116111
Hexadecimal
0x9C49
Base64
nEk=
One's complement
25,526 (16-bit)
In other bases
ternary (3) 2000212211
quaternary (4) 21301021
quinary (5) 2240014
senary (6) 505121
septenary (7) 224434
nonary (9) 60784
undecimal (11) 28072
duodecimal (12) 1b1a1
tridecimal (13) 15298
tetradecimal (14) 1081b
pentadecimal (15) bcc4

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μθʹ
Mayan (base 20)
𝋥·𝋠·𝋠·𝋩
Chinese
四萬零九
Chinese (financial)
肆萬零玖
In other modern scripts
Eastern Arabic ٤٠٠٠٩ Devanagari ४०००९ Bengali ৪০০০৯ Tamil ௪௦௦௦௯ Thai ๔๐๐๐๙ Tibetan ༤༠༠༠༩ Khmer ៤០០០៩ Lao ໔໐໐໐໙ Burmese ၄၀၀၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 40,009 = 5
e — Euler's number (e)
Digit 40,009 = 2
φ — Golden ratio (φ)
Digit 40,009 = 5
√2 — Pythagoras's (√2)
Digit 40,009 = 1
ln 2 — Natural log of 2
Digit 40,009 = 9
γ — Euler-Mascheroni (γ)
Digit 40,009 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 39,989 (gap of 20)
  • Next prime: 40,013 (gap of 4)

Pair status: cousin with 40013.

Unicode codepoint
CJK Unified Ideograph-9C49
U+9C49
Other letter (Lo)

UTF-8 encoding: E9 B1 89 (3 bytes).

Hex color
#009C49
RGB(0, 156, 73)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.156.73.

Address
0.0.156.73
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.156.73

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

Position in π

The digit sequence 40009 first appears in π at position 95,966 of the decimal expansion (the 95,966ordinal-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.