Live analysis

40,000

40,000 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.).

40,000 (forty thousand) is an even 5-digit number. It is a composite number with 35 divisors, and factors as 2⁶ × 5⁴. Its proper divisors sum to 59,187, more than the number itself, making it an abundant number. It is a perfect square (200²). Written other ways, in hexadecimal, 0x9C40.

Abundant Number Frugal Number Gapful Number Harshad / Niven Odious Number Perfect Square Pernicious Number Powerful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

39,988 39,989 39,990 39,991 39,992 39,993 39,994 39,995 39,996 39,997 39,998 39,999 40,000 40,001 40,002 40,003 40,004 40,005 40,006 40,007 40,008 40,009 40,010 40,011 40,012

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 16 bits
Reversed: 4
Square (n²): 1,600,000,000
Cube (n³): 64,000,000,000,000
Square root (√n): 200
Divisor count: 35
σ(n) — sum of divisors: 99,187
φ(n) — Euler's totient: 16,000
Sum of prime factors: 32

Primality

Prime factorization: 2 ⁶ × 5 ⁴

Nearest primes: 39,989 (−11) · 40,009 (+9)

Divisors & multiples

All divisors (35)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 64 · 80 · 100 · 125 · 160 · 200 · 250 · 320 · 400 · 500 · 625 · 800 · 1000 · 1250 · 1600 · 2000 · 2500 · 4000 · 5000 · 8000 · 10000 · 20000 (half) · 40000

Aliquot sum (sum of proper divisors): 59,187

Factor pairs (a × b = 40,000)

1 × 40000

2 × 20000

4 × 10000

5 × 8000

8 × 5000

10 × 4000

16 × 2500

20 × 2000

25 × 1600

32 × 1250

40 × 1000

50 × 800

64 × 625

80 × 500

100 × 400

125 × 320

160 × 250

200 × 200

First multiples

40,000 · 80,000 (double) · 120,000 · 160,000 · 200,000 · 240,000 · 280,000 · 320,000 · 360,000 · 400,000

Sums & aliquot sequence

As a sum of two squares: 0² + 200² = 56² + 192² = 120² + 160²

As consecutive integers: 7,998 + 7,999 + 8,000 + 8,001 + 8,002 1,588 + 1,589 + … + 1,612 258 + 259 + … + 382 249 + 250 + … + 376

Aliquot sequence: 40,000 → 59,187 → 20,893 → 1,247 → 73 → 1 → 0 — terminates at zero

Representations

In words: forty thousand
Ordinal: 40000th
Binary: 1001110001000000
Octal: 116100
Hexadecimal: 0x9C40
Base64: nEA=
One's complement: 25,535 (16-bit)
Scientific notation: 4 × 10⁴
As a duration: 40,000 s = 11 hours, 6 minutes, 40 seconds

In other bases

ternary (3) 2000212111

quaternary (4) 21301000

quinary (5) 2240000

senary (6) 505104

septenary (7) 224422

nonary (9) 60774

undecimal (11) 28064

duodecimal (12) 1b194

tridecimal (13) 1528c

tetradecimal (14) 10812

pentadecimal (15) bcba

Palindromic in base 7

As an angle

40,000° = 111 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍
Greek (Milesian): ͵μ
Mayan (base 20): 𝋥·𝋠·𝋠·𝋠
Chinese: 四萬
Chinese (financial): 肆萬

In other modern scripts

Eastern Arabic ٤٠٠٠٠ Devanagari ४०००० Bengali ৪০০০০ Tamil ௪௦௦௦௦ Thai ๔๐๐๐๐ Tibetan ༤༠༠༠༠ Khmer ៤០០០០ Lao ໔໐໐໐໐ Burmese ၄၀၀၀၀

Digit at this position in famous constants

π — Pi (π): Digit 40,000 = 5
e — Euler's number (e): Digit 40,000 = 3
φ — Golden ratio (φ): Digit 40,000 = 3
√2 — Pythagoras's (√2): Digit 40,000 = 1
ln 2 — Natural log of 2: Digit 40,000 = 0
γ — Euler-Mascheroni (γ): Digit 40,000 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 40000, here are decompositions:

11 + 39989 = 40000
17 + 39983 = 40000
29 + 39971 = 40000
47 + 39953 = 40000
71 + 39929 = 40000
113 + 39887 = 40000
131 + 39869 = 40000
137 + 39863 = 40000

Showing the first eight; more decompositions exist.

Unicode codepoint

鱀

CJK Unified Ideograph-9C40

U+9C40

Other letter (Lo)

UTF-8 encoding: E9 B1 80 (3 bytes).

Lookup U+9C40 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#009C40

RGB(0, 156, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.156.64.

Address: 0.0.156.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.156.64

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

Position in π

The digit sequence 40000 first appears in π at position 37,321 of the decimal expansion (the 37,321ordinal-suffix:st 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.

Look up 40000 on Pi Search ↗