number.wiki
Number

40,013

40,013 is a prime, odd.

Arithmetic Number Cousin Prime Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
16 bits
Reversed
31,004
Square (n²)
1,601,040,169
Cube (n³)
64,062,420,282,197
Divisor count
2
σ(n) — sum of divisors
40,014
φ(n) — Euler's totient
40,012

Primality

40,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 40013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 40,013)
1 × 40013
First multiples
40,013 · 80,026 (double) · 120,039 · 160,052 · 200,065 · 240,078 · 280,091 · 320,104 · 360,117 · 400,130

Sums & aliquot sequence

As a sum of two squares: 83² + 182²
As consecutive integers: 20,006 + 20,007

Representations

In words
forty thousand thirteen
Ordinal
40013th
Binary
1001110001001101
Octal
116115
Hexadecimal
0x9C4D
Base64
nE0=
One's complement
25,522 (16-bit)
In other bases
ternary (3) 2000212222
quaternary (4) 21301031
quinary (5) 2240023
senary (6) 505125
septenary (7) 224441
nonary (9) 60788
undecimal (11) 28076
duodecimal (12) 1b1a5
tridecimal (13) 1529c
tetradecimal (14) 10821
pentadecimal (15) bcc8

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓎆𓏺𓏺𓏺
Greek (Milesian)
͵μιγʹ
Mayan (base 20)
𝋥·𝋠·𝋠·𝋭
Chinese
四萬零一十三
Chinese (financial)
肆萬零壹拾參
In other modern scripts
Eastern Arabic ٤٠٠١٣ Devanagari ४००१३ Bengali ৪০০১৩ Tamil ௪௦௦௧௩ Thai ๔๐๐๑๓ Tibetan ༤༠༠༡༣ Khmer ៤០០១៣ Lao ໔໐໐໑໓ Burmese ၄၀၀၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 40,013 = 9
e — Euler's number (e)
Digit 40,013 = 5
φ — Golden ratio (φ)
Digit 40,013 = 9
√2 — Pythagoras's (√2)
Digit 40,013 = 1
ln 2 — Natural log of 2
Digit 40,013 = 5
γ — Euler-Mascheroni (γ)
Digit 40,013 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 40,009 (gap of 4)
  • Next prime: 40,031 (gap of 18)

Pair status: cousin with 40009.

Unicode codepoint
CJK Unified Ideograph-9C4D
U+9C4D
Other letter (Lo)

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

Hex color
#009C4D
RGB(0, 156, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.156.77.

Address
0.0.156.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.156.77

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

Position in π

The digit sequence 40013 first appears in π at position 76,556 of the decimal expansion (the 76,556ordinal-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.