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40,016

40,016 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Abundant Number Evil Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
16 bits
Reversed
61,004
Square (n²)
1,601,280,256
Cube (n³)
64,076,830,724,096
Divisor count
20
σ(n) — sum of divisors
80,724
φ(n) — Euler's totient
19,200
Sum of prime factors
110

Primality

Prime factorization: 2 4 × 41 × 61

Nearest primes: 40,013 (−3) · 40,031 (+15)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 41 · 61 · 82 · 122 · 164 · 244 · 328 · 488 · 656 · 976 · 2501 · 5002 · 10004 · 20008 (half) · 40016
Aliquot sum (sum of proper divisors): 40,708
Factor pairs (a × b = 40,016)
1 × 40016
2 × 20008
4 × 10004
8 × 5002
16 × 2501
41 × 976
61 × 656
82 × 488
122 × 328
164 × 244
First multiples
40,016 · 80,032 (double) · 120,048 · 160,064 · 200,080 · 240,096 · 280,112 · 320,128 · 360,144 · 400,160

Sums & aliquot sequence

As a sum of two squares: 4² + 200² = 40² + 196²
As consecutive integers: 1,235 + 1,236 + … + 1,266 956 + 957 + … + 996 626 + 627 + … + 686
Aliquot sequence: 40,016 40,708 30,538 15,272 14,968 13,112 13,888 18,624 31,160 44,440 65,720 89,800 119,450 102,820 119,444 105,760 144,476 — unresolved within range

Representations

In words
forty thousand sixteen
Ordinal
40016th
Binary
1001110001010000
Octal
116120
Hexadecimal
0x9C50
Base64
nFA=
One's complement
25,519 (16-bit)
In other bases
ternary (3) 2000220002
quaternary (4) 21301100
quinary (5) 2240031
senary (6) 505132
septenary (7) 224444
nonary (9) 60802
undecimal (11) 28079
duodecimal (12) 1b1a8
tridecimal (13) 152a2
tetradecimal (14) 10824
pentadecimal (15) bccb

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μιϛʹ
Mayan (base 20)
𝋥·𝋠·𝋠·𝋰
Chinese
四萬零一十六
Chinese (financial)
肆萬零壹拾陸
In other modern scripts
Eastern Arabic ٤٠٠١٦ Devanagari ४००१६ Bengali ৪০০১৬ Tamil ௪௦௦௧௬ Thai ๔๐๐๑๖ Tibetan ༤༠༠༡༦ Khmer ៤០០១៦ Lao ໔໐໐໑໖ Burmese ၄၀၀၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 40,016 = 9
e — Euler's number (e)
Digit 40,016 = 7
φ — Golden ratio (φ)
Digit 40,016 = 6
√2 — Pythagoras's (√2)
Digit 40,016 = 3
ln 2 — Natural log of 2
Digit 40,016 = 2
γ — Euler-Mascheroni (γ)
Digit 40,016 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 40016, here are decompositions:

  • 3 + 40013 = 40016
  • 7 + 40009 = 40016
  • 37 + 39979 = 40016
  • 79 + 39937 = 40016
  • 139 + 39877 = 40016
  • 283 + 39733 = 40016
  • 307 + 39709 = 40016
  • 313 + 39703 = 40016

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-9C50
U+9C50
Other letter (Lo)

UTF-8 encoding: E9 B1 90 (3 bytes).

Hex color
#009C50
RGB(0, 156, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.156.80.

Address
0.0.156.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.156.80

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

Position in π

The digit sequence 40016 first appears in π at position 93,165 of the decimal expansion (the 93,165ordinal-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.