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Number

40,429

40,429 is a prime, odd.

40,429 (forty thousand four hundred twenty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x9DED.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
16 bits
Reversed
92,404
Recamán's sequence
a(10,902) = 40,429
Square (n²)
1,634,504,041
Cube (n³)
66,081,363,873,589
Divisor count
2
σ(n) — sum of divisors
40,430
φ(n) — Euler's totient
40,428

Primality

40,429 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 40429
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 40,429)
1 × 40429
First multiples
40,429 · 80,858 (double) · 121,287 · 161,716 · 202,145 · 242,574 · 283,003 · 323,432 · 363,861 · 404,290

Sums & aliquot sequence

As a sum of two squares: 35² + 198²
As consecutive integers: 20,214 + 20,215

Continued fraction of √n

√40,429 = [201; (14, 2, 1, 3, 1, 1, 3, 1, 3, 4, 6, 2, 7, 3, 1, 2, 3, 2, 7, 6, 1, 1, 3, 5, …)]

Representations

In words
forty thousand four hundred twenty-nine
Ordinal
40429th
Binary
1001110111101101
Octal
116755
Hexadecimal
0x9DED
Base64
ne0=
One's complement
25,106 (16-bit)
Scientific notation
4.0429 × 10⁴
As a duration
40,429 s = 11 hours, 13 minutes, 49 seconds
In other bases
ternary (3) 2001110101
quaternary (4) 21313231
quinary (5) 2243204
senary (6) 511101
septenary (7) 225604
nonary (9) 61411
undecimal (11) 28414
duodecimal (12) 1b491
tridecimal (13) 1552c
tetradecimal (14) 10a3b
pentadecimal (15) bea4

As an angle

40,429° = 112 × 360° + 109°
109° ≈ 1.902 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μυκθʹ
Mayan (base 20)
𝋥·𝋡·𝋡·𝋩
Chinese
四萬零四百二十九
Chinese (financial)
肆萬零肆佰貳拾玖
In other modern scripts
Eastern Arabic ٤٠٤٢٩ Devanagari ४०४२९ Bengali ৪০৪২৯ Tamil ௪௦௪௨௯ Thai ๔๐๔๒๙ Tibetan ༤༠༤༢༩ Khmer ៤០៤២៩ Lao ໔໐໔໒໙ Burmese ၄၀၄၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 40,429 = 9
e — Euler's number (e)
Digit 40,429 = 6
φ — Golden ratio (φ)
Digit 40,429 = 4
√2 — Pythagoras's (√2)
Digit 40,429 = 1
ln 2 — Natural log of 2
Digit 40,429 = 7
γ — Euler-Mascheroni (γ)
Digit 40,429 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 40,427 (gap of 2)
  • Next prime: 40,433 (gap of 4)

Pair status: twin with 40427, cousin with 40433.

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

UTF-8 encoding: E9 B7 AD (3 bytes).

Hex color
#009DED
RGB(0, 157, 237)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.157.237.

Address
0.0.157.237
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.157.237

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

Position in π

The digit sequence 40429 first appears in π at position 25,246 of the decimal expansion (the 25,246ordinal-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.