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Number

40,189

40,189 is a prime, odd.

40,189 (forty thousand one hundred eighty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x9CFD.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
16 bits
Reversed
98,104
Square (n²)
1,615,155,721
Cube (n³)
64,911,493,271,269
Divisor count
2
σ(n) — sum of divisors
40,190
φ(n) — Euler's totient
40,188

Primality

40,189 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 40189
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 40,189)
1 × 40189
First multiples
40,189 · 80,378 (double) · 120,567 · 160,756 · 200,945 · 241,134 · 281,323 · 321,512 · 361,701 · 401,890

Sums & aliquot sequence

As a sum of two squares: 133² + 150²
As consecutive integers: 20,094 + 20,095

Continued fraction of √n

√40,189 = [200; (2, 8, 2, 2, 3, 2, 2, 2, 2, 4, 1, 6, 4, 1, 1, 3, 17, 6, 1, 1, 1, 1, 1, 32, …)]

Representations

In words
forty thousand one hundred eighty-nine
Ordinal
40189th
Binary
1001110011111101
Octal
116375
Hexadecimal
0x9CFD
Base64
nP0=
One's complement
25,346 (16-bit)
Scientific notation
4.0189 × 10⁴
As a duration
40,189 s = 11 hours, 9 minutes, 49 seconds
In other bases
ternary (3) 2001010111
quaternary (4) 21303331
quinary (5) 2241224
senary (6) 510021
septenary (7) 225112
nonary (9) 61114
undecimal (11) 28216
duodecimal (12) 1b311
tridecimal (13) 153a6
tetradecimal (14) 10909
pentadecimal (15) bd94

As an angle

40,189° = 111 × 360° + 229°
229° ≈ 3.997 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μρπθʹ
Mayan (base 20)
𝋥·𝋠·𝋩·𝋩
Chinese
四萬零一百八十九
Chinese (financial)
肆萬零壹佰捌拾玖
In other modern scripts
Eastern Arabic ٤٠١٨٩ Devanagari ४०१८९ Bengali ৪০১৮৯ Tamil ௪௦௧௮௯ Thai ๔๐๑๘๙ Tibetan ༤༠༡༨༩ Khmer ៤០១៨៩ Lao ໔໐໑໘໙ Burmese ၄၀၁၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 40,189 = 5
e — Euler's number (e)
Digit 40,189 = 4
φ — Golden ratio (φ)
Digit 40,189 = 0
√2 — Pythagoras's (√2)
Digit 40,189 = 5
ln 2 — Natural log of 2
Digit 40,189 = 2
γ — Euler-Mascheroni (γ)
Digit 40,189 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 40,177 (gap of 12)
  • Next prime: 40,193 (gap of 4)

Pair status: cousin with 40193.

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

UTF-8 encoding: E9 B3 BD (3 bytes).

Hex color
#009CFD
RGB(0, 156, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.156.253.

Address
0.0.156.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.156.253

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

Position in π

The digit sequence 40189 first appears in π at position 95,567 of the decimal expansion (the 95,567ordinal-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

  • 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.