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40,404

40,404 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 Harshad / Niven Odious Number Palindrome Practical Number Self Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
Yes
Bit width
16 bits
Square (n²)
1,632,483,216
Cube (n³)
65,958,851,859,264
Divisor count
48
σ(n) — sum of divisors
119,168
φ(n) — Euler's totient
10,368
Sum of prime factors
64

Primality

Prime factorization: 2 2 × 3 × 7 × 13 × 37

Nearest primes: 40,387 (−17) · 40,423 (+19)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 13 · 14 · 21 · 26 · 28 · 37 · 39 · 42 · 52 · 74 · 78 · 84 · 91 · 111 · 148 · 156 · 182 · 222 · 259 · 273 · 364 · 444 · 481 · 518 · 546 · 777 · 962 · 1036 · 1092 · 1443 · 1554 · 1924 · 2886 · 3108 · 3367 · 5772 · 6734 · 10101 · 13468 · 20202 (half) · 40404
Aliquot sum (sum of proper divisors): 78,764
Factor pairs (a × b = 40,404)
1 × 40404
2 × 20202
3 × 13468
4 × 10101
6 × 6734
7 × 5772
12 × 3367
13 × 3108
14 × 2886
21 × 1924
26 × 1554
28 × 1443
37 × 1092
39 × 1036
42 × 962
52 × 777
74 × 546
78 × 518
84 × 481
91 × 444
111 × 364
148 × 273
156 × 259
182 × 222
First multiples
40,404 · 80,808 (double) · 121,212 · 161,616 · 202,020 · 242,424 · 282,828 · 323,232 · 363,636 · 404,040

Sums & aliquot sequence

As consecutive integers: 13,467 + 13,468 + 13,469 5,769 + 5,770 + … + 5,775 5,047 + 5,048 + … + 5,054 3,102 + 3,103 + … + 3,114
Aliquot sequence: 40,404 78,764 85,876 85,932 193,620 427,308 712,404 1,541,484 3,028,116 6,003,564 10,006,164 19,434,156 32,390,484 55,216,812 105,256,788 200,051,628 365,557,332 — unresolved within range

Representations

In words
forty thousand four hundred four
Ordinal
40404th
Binary
1001110111010100
Octal
116724
Hexadecimal
0x9DD4
Base64
ndQ=
One's complement
25,131 (16-bit)
In other bases
ternary (3) 2001102110
quaternary (4) 21313110
quinary (5) 2243104
senary (6) 511020
septenary (7) 225540
nonary (9) 61373
undecimal (11) 283a1
duodecimal (12) 1b470
tridecimal (13) 15510
tetradecimal (14) 10a20
pentadecimal (15) be89

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μυδʹ
Mayan (base 20)
𝋥·𝋡·𝋠·𝋤
Chinese
四萬零四百零四
Chinese (financial)
肆萬零肆佰零肆
In other modern scripts
Eastern Arabic ٤٠٤٠٤ Devanagari ४०४०४ Bengali ৪০৪০৪ Tamil ௪௦௪௦௪ Thai ๔๐๔๐๔ Tibetan ༤༠༤༠༤ Khmer ៤០៤០៤ Lao ໔໐໔໐໔ Burmese ၄၀၄၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 40,404 = 3
e — Euler's number (e)
Digit 40,404 = 8
φ — Golden ratio (φ)
Digit 40,404 = 1
√2 — Pythagoras's (√2)
Digit 40,404 = 5
ln 2 — Natural log of 2
Digit 40,404 = 0
γ — Euler-Mascheroni (γ)
Digit 40,404 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 40404, here are decompositions:

  • 17 + 40387 = 40404
  • 43 + 40361 = 40404
  • 47 + 40357 = 40404
  • 53 + 40351 = 40404
  • 61 + 40343 = 40404
  • 127 + 40277 = 40404
  • 151 + 40253 = 40404
  • 163 + 40241 = 40404

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-9Dd4
U+9DD4
Other letter (Lo)

UTF-8 encoding: E9 B7 94 (3 bytes).

Hex color
#009DD4
RGB(0, 157, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.157.212.

Address
0.0.157.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.157.212

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

Position in π

The digit sequence 40404 first appears in π at position 17,757 of the decimal expansion (the 17,757ordinal-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.