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Number

40,213

40,213 is a prime, odd.

Arithmetic Number Deficient Number Evil Number Prime Pythagorean Prime Self Number Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
16 bits
Reversed
31,204
Square (n²)
1,617,085,369
Cube (n³)
65,027,853,943,597
Divisor count
2
σ(n) — sum of divisors
40,214
φ(n) — Euler's totient
40,212

Primality

40,213 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 40213
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 40,213)
1 × 40213
First multiples
40,213 · 80,426 (double) · 120,639 · 160,852 · 201,065 · 241,278 · 281,491 · 321,704 · 361,917 · 402,130

Sums & aliquot sequence

As a sum of two squares: 82² + 183²
As consecutive integers: 20,106 + 20,107

Representations

In words
forty thousand two hundred thirteen
Ordinal
40213th
Binary
1001110100010101
Octal
116425
Hexadecimal
0x9D15
Base64
nRU=
One's complement
25,322 (16-bit)
In other bases
ternary (3) 2001011101
quaternary (4) 21310111
quinary (5) 2241323
senary (6) 510101
septenary (7) 225145
nonary (9) 61141
undecimal (11) 28238
duodecimal (12) 1b331
tridecimal (13) 153c4
tetradecimal (14) 10925
pentadecimal (15) bdad

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵μσιγʹ
Mayan (base 20)
𝋥·𝋠·𝋪·𝋭
Chinese
四萬零二百一十三
Chinese (financial)
肆萬零貳佰壹拾參
In other modern scripts
Eastern Arabic ٤٠٢١٣ Devanagari ४०२१३ Bengali ৪০২১৩ Tamil ௪௦௨௧௩ Thai ๔๐๒๑๓ Tibetan ༤༠༢༡༣ Khmer ៤០២១៣ Lao ໔໐໒໑໓ Burmese ၄၀၂၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 40,213 = 8
e — Euler's number (e)
Digit 40,213 = 5
φ — Golden ratio (φ)
Digit 40,213 = 3
√2 — Pythagoras's (√2)
Digit 40,213 = 4
ln 2 — Natural log of 2
Digit 40,213 = 8
γ — Euler-Mascheroni (γ)
Digit 40,213 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 40,193 (gap of 20)
  • Next prime: 40,231 (gap of 18)
Unicode codepoint
CJK Unified Ideograph-9D15
U+9D15
Other letter (Lo)

UTF-8 encoding: E9 B4 95 (3 bytes).

Hex color
#009D15
RGB(0, 157, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.157.21.

Address
0.0.157.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.157.21

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

Position in π

The digit sequence 40213 first appears in π at position 84,444 of the decimal expansion (the 84,444ordinal-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.