40,404
40,404 is a composite number, even.
40,404 (forty thousand four hundred four) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 13 × 37. Its proper divisors sum to 78,764, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x9DD4.
Interestingness
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
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√40,404 = [201; (134, 402)]
Period length 2 — the block in parentheses repeats forever.
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)
- Scientific notation
- 4.0404 × 10⁴
- As a duration
- 40,404 s = 11 hours, 13 minutes, 24 seconds
As an angle
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
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'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.
UTF-8 encoding: E9 B7 94 (3 bytes).
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.
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.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.