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40,400

40,400 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 Gapful Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
16 bits
Reversed
404
Square (n²)
1,632,160,000
Cube (n³)
65,939,264,000,000
Divisor count
30
σ(n) — sum of divisors
98,022
φ(n) — Euler's totient
16,000
Sum of prime factors
119

Primality

Prime factorization: 2 4 × 5 2 × 101

Nearest primes: 40,387 (−13) · 40,423 (+23)

Divisors & multiples

All divisors (30)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 101 · 200 · 202 · 400 · 404 · 505 · 808 · 1010 · 1616 · 2020 · 2525 · 4040 · 5050 · 8080 · 10100 · 20200 (half) · 40400
Aliquot sum (sum of proper divisors): 57,622
Factor pairs (a × b = 40,400)
1 × 40400
2 × 20200
4 × 10100
5 × 8080
8 × 5050
10 × 4040
16 × 2525
20 × 2020
25 × 1616
40 × 1010
50 × 808
80 × 505
100 × 404
101 × 400
200 × 202
First multiples
40,400 · 80,800 (double) · 121,200 · 161,600 · 202,000 · 242,400 · 282,800 · 323,200 · 363,600 · 404,000

Sums & aliquot sequence

As a sum of two squares: 20² + 200² = 104² + 172² = 136² + 148²
As consecutive integers: 8,078 + 8,079 + 8,080 + 8,081 + 8,082 1,604 + 1,605 + … + 1,628 1,247 + 1,248 + … + 1,278 350 + 351 + … + 450
Aliquot sequence: 40,400 57,622 30,794 16,186 8,096 10,048 10,018 5,012 5,068 5,124 8,764 8,820 22,302 35,298 44,730 90,054 105,102 — unresolved within range

Representations

In words
forty thousand four hundred
Ordinal
40400th
Binary
1001110111010000
Octal
116720
Hexadecimal
0x9DD0
Base64
ndA=
One's complement
25,135 (16-bit)
In other bases
ternary (3) 2001102022
quaternary (4) 21313100
quinary (5) 2243100
senary (6) 511012
septenary (7) 225533
nonary (9) 61368
undecimal (11) 28398
duodecimal (12) 1b468
tridecimal (13) 15509
tetradecimal (14) 10a1a
pentadecimal (15) be85

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢
Greek (Milesian)
͵μυʹ
Mayan (base 20)
𝋥·𝋡·𝋠·𝋠
Chinese
四萬零四百
Chinese (financial)
肆萬零肆佰
In other modern scripts
Eastern Arabic ٤٠٤٠٠ Devanagari ४०४०० Bengali ৪০৪০০ Tamil ௪௦௪௦௦ Thai ๔๐๔๐๐ Tibetan ༤༠༤༠༠ Khmer ៤០៤០០ Lao ໔໐໔໐໐ Burmese ၄၀၄၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 40,400 = 7
e — Euler's number (e)
Digit 40,400 = 4
φ — Golden ratio (φ)
Digit 40,400 = 7
√2 — Pythagoras's (√2)
Digit 40,400 = 4
ln 2 — Natural log of 2
Digit 40,400 = 1
γ — Euler-Mascheroni (γ)
Digit 40,400 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 40400, here are decompositions:

  • 13 + 40387 = 40400
  • 43 + 40357 = 40400
  • 163 + 40237 = 40400
  • 211 + 40189 = 40400
  • 223 + 40177 = 40400
  • 271 + 40129 = 40400
  • 277 + 40123 = 40400
  • 307 + 40093 = 40400

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-9Dd0
U+9DD0
Other letter (Lo)

UTF-8 encoding: E9 B7 90 (3 bytes).

Hex color
#009DD0
RGB(0, 157, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.157.208.

Address
0.0.157.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.157.208

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000040400
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 40400 first appears in π at position 13,085 of the decimal expansion (the 13,085ordinal-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.