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40,040

40,040 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 Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number 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
4,004
Square (n²)
1,603,201,600
Cube (n³)
64,192,192,064,000
Divisor count
64
σ(n) — sum of divisors
120,960
φ(n) — Euler's totient
11,520
Sum of prime factors
42

Primality

Prime factorization: 2 3 × 5 × 7 × 11 × 13

Nearest primes: 40,039 (−1) · 40,063 (+23)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 11 · 13 · 14 · 20 · 22 · 26 · 28 · 35 · 40 · 44 · 52 · 55 · 56 · 65 · 70 · 77 · 88 · 91 · 104 · 110 · 130 · 140 · 143 · 154 · 182 · 220 · 260 · 280 · 286 · 308 · 364 · 385 · 440 · 455 · 520 · 572 · 616 · 715 · 728 · 770 · 910 · 1001 · 1144 · 1430 · 1540 · 1820 · 2002 · 2860 · 3080 · 3640 · 4004 · 5005 · 5720 · 8008 · 10010 · 20020 (half) · 40040
Aliquot sum (sum of proper divisors): 80,920
Factor pairs (a × b = 40,040)
1 × 40040
2 × 20020
4 × 10010
5 × 8008
7 × 5720
8 × 5005
10 × 4004
11 × 3640
13 × 3080
14 × 2860
20 × 2002
22 × 1820
26 × 1540
28 × 1430
35 × 1144
40 × 1001
44 × 910
52 × 770
55 × 728
56 × 715
65 × 616
70 × 572
77 × 520
88 × 455
91 × 440
104 × 385
110 × 364
130 × 308
140 × 286
143 × 280
154 × 260
182 × 220
First multiples
40,040 · 80,080 (double) · 120,120 · 160,160 · 200,200 · 240,240 · 280,280 · 320,320 · 360,360 · 400,400

Sums & aliquot sequence

As consecutive integers: 8,006 + 8,007 + 8,008 + 8,009 + 8,010 5,717 + 5,718 + … + 5,723 3,635 + 3,636 + … + 3,645 3,074 + 3,075 + … + 3,086
Aliquot sequence: 40,040 80,920 140,120 188,200 249,830 282,394 223,334 111,670 105,050 109,222 56,594 28,300 33,328 31,276 31,332 52,444 52,500 — unresolved within range

Representations

In words
forty thousand forty
Ordinal
40040th
Binary
1001110001101000
Octal
116150
Hexadecimal
0x9C68
Base64
nGg=
One's complement
25,495 (16-bit)
In other bases
ternary (3) 2000220222
quaternary (4) 21301220
quinary (5) 2240130
senary (6) 505212
septenary (7) 224510
nonary (9) 60828
undecimal (11) 280a0
duodecimal (12) 1b208
tridecimal (13) 152c0
tetradecimal (14) 10840
pentadecimal (15) bce5

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆
Greek (Milesian)
͵μμʹ
Mayan (base 20)
𝋥·𝋠·𝋢·𝋠
Chinese
四萬零四十
Chinese (financial)
肆萬零肆拾
In other modern scripts
Eastern Arabic ٤٠٠٤٠ Devanagari ४००४० Bengali ৪০০৪০ Tamil ௪௦௦௪௦ Thai ๔๐๐๔๐ Tibetan ༤༠༠༤༠ Khmer ៤០០៤០ Lao ໔໐໐໔໐ Burmese ၄၀၀၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 40,040 = 7
e — Euler's number (e)
Digit 40,040 = 5
φ — Golden ratio (φ)
Digit 40,040 = 6
√2 — Pythagoras's (√2)
Digit 40,040 = 8
ln 2 — Natural log of 2
Digit 40,040 = 6
γ — Euler-Mascheroni (γ)
Digit 40,040 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 40040, here are decompositions:

  • 3 + 40037 = 40040
  • 31 + 40009 = 40040
  • 61 + 39979 = 40040
  • 103 + 39937 = 40040
  • 139 + 39901 = 40040
  • 157 + 39883 = 40040
  • 163 + 39877 = 40040
  • 193 + 39847 = 40040

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-9C68
U+9C68
Other letter (Lo)

UTF-8 encoding: E9 B1 A8 (3 bytes).

Hex color
#009C68
RGB(0, 156, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.156.104.

Address
0.0.156.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.156.104

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

Position in π

The digit sequence 40040 first appears in π at position 174,345 of the decimal expansion (the 174,345ordinal-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.