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14,400

14,400 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 Harshad / Niven Perfect Square Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
441
Recamán's sequence
a(19,916) = 14,400
Square (n²)
207,360,000
Cube (n³)
2,985,984,000,000
Square root (√n)
120
Divisor count
63
σ(n) — sum of divisors
51,181
φ(n) — Euler's totient
3,840
Sum of prime factors
28

Primality

Prime factorization: 2 6 × 3 2 × 5 2

Nearest primes: 14,389 (−11) · 14,401 (+1)

Divisors & multiples

All divisors (63)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 25 · 30 · 32 · 36 · 40 · 45 · 48 · 50 · 60 · 64 · 72 · 75 · 80 · 90 · 96 · 100 · 120 · 144 · 150 · 160 · 180 · 192 · 200 · 225 · 240 · 288 · 300 · 320 · 360 · 400 · 450 · 480 · 576 · 600 · 720 · 800 · 900 · 960 · 1200 · 1440 · 1600 · 1800 · 2400 · 2880 · 3600 · 4800 · 7200 (half) · 14400
Aliquot sum (sum of proper divisors): 36,781
Factor pairs (a × b = 14,400)
1 × 14400
2 × 7200
3 × 4800
4 × 3600
5 × 2880
6 × 2400
8 × 1800
9 × 1600
10 × 1440
12 × 1200
15 × 960
16 × 900
18 × 800
20 × 720
24 × 600
25 × 576
30 × 480
32 × 450
36 × 400
40 × 360
45 × 320
48 × 300
50 × 288
60 × 240
64 × 225
72 × 200
75 × 192
80 × 180
90 × 160
96 × 150
100 × 144
120 × 120
First multiples
14,400 · 28,800 (double) · 43,200 · 57,600 · 72,000 · 86,400 · 100,800 · 115,200 · 129,600 · 144,000

Sums & aliquot sequence

As a sum of two squares: 0² + 120² = 72² + 96²
As consecutive integers: 4,799 + 4,800 + 4,801 2,878 + 2,879 + 2,880 + 2,881 + 2,882 1,596 + 1,597 + … + 1,604 953 + 954 + … + 967
Aliquot sequence: 14,400 36,781 1 0 — terminates at zero

Representations

In words
fourteen thousand four hundred
Ordinal
14400th
Binary
11100001000000
Octal
34100
Hexadecimal
0x3840
Base64
OEA=
One's complement
51,135 (16-bit)
In other bases
ternary (3) 201202100
quaternary (4) 3201000
quinary (5) 430100
senary (6) 150400
septenary (7) 56661
nonary (9) 21670
undecimal (11) a901
duodecimal (12) 8400
tridecimal (13) 6729
tetradecimal (14) 5368
pentadecimal (15) 4400

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 · ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ιδυʹ
Mayan (base 20)
𝋡·𝋰·𝋠·𝋠
Chinese
一萬四千四百
Chinese (financial)
壹萬肆仟肆佰
In other modern scripts
Eastern Arabic ١٤٤٠٠ Devanagari १४४०० Bengali ১৪৪০০ Tamil ௧௪௪௦௦ Thai ๑๔๔๐๐ Tibetan ༡༤༤༠༠ Khmer ១៤៤០០ Lao ໑໔໔໐໐ Burmese ၁၄၄၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 14,400 = 9
e — Euler's number (e)
Digit 14,400 = 1
φ — Golden ratio (φ)
Digit 14,400 = 8
√2 — Pythagoras's (√2)
Digit 14,400 = 0
ln 2 — Natural log of 2
Digit 14,400 = 8
γ — Euler-Mascheroni (γ)
Digit 14,400 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 14400, here are decompositions:

  • 11 + 14389 = 14400
  • 13 + 14387 = 14400
  • 31 + 14369 = 14400
  • 53 + 14347 = 14400
  • 59 + 14341 = 14400
  • 73 + 14327 = 14400
  • 79 + 14321 = 14400
  • 97 + 14303 = 14400

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3840
U+3840
Other letter (Lo)

UTF-8 encoding: E3 A1 80 (3 bytes).

Hex color
#003840
RGB(0, 56, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.56.64.

Address
0.0.56.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.56.64

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

Position in π

The digit sequence 14400 first appears in π at position 126,317 of the decimal expansion (the 126,317ordinal-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.