42,240
42,240 is a composite number, even.
42,240 (forty-two thousand two hundred forty) is an even 5-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 3 × 5 × 11. Its proper divisors sum to 104,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA500.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 4,224
- Recamán's sequence
- a(151,143) = 42,240
- Square (n²)
- 1,784,217,600
- Cube (n³)
- 75,365,351,424,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 147,168
- φ(n) — Euler's totient
- 10,240
- Sum of prime factors
- 35
Primality
Prime factorization: 2 8 × 3 × 5 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√42,240 = [205; (1, 1, 10, 25, 1, 1, 2, 7, 1, 101, 1, 7, 2, 1, 1, 25, 10, 1, 1, 410)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- forty-two thousand two hundred forty
- Ordinal
- 42240th
- Binary
- 1010010100000000
- Octal
- 122400
- Hexadecimal
- 0xA500
- Base64
- pQA=
- One's complement
- 23,295 (16-bit)
- Scientific notation
- 4.224 × 10⁴
- As a duration
- 42,240 s = 11 hours, 44 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵μβσμʹ
- Mayan (base 20)
- 𝋥·𝋥·𝋬·𝋠
- Chinese
- 四萬二千二百四十
- Chinese (financial)
- 肆萬貳仟貳佰肆拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 42,240 = 6
- e — Euler's number (e)
- Digit 42,240 = 5
- φ — Golden ratio (φ)
- Digit 42,240 = 6
- √2 — Pythagoras's (√2)
- Digit 42,240 = 1
- ln 2 — Natural log of 2
- Digit 42,240 = 3
- γ — Euler-Mascheroni (γ)
- Digit 42,240 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42240, here are decompositions:
- 13 + 42227 = 42240
- 17 + 42223 = 42240
- 19 + 42221 = 42240
- 31 + 42209 = 42240
- 43 + 42197 = 42240
- 47 + 42193 = 42240
- 53 + 42187 = 42240
- 59 + 42181 = 42240
Showing the first eight; more decompositions exist.
UTF-8 encoding: EA 94 80 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.165.0.
- Address
- 0.0.165.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.165.0
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 42240 first appears in π at position 62,285 of the decimal expansion (the 62,285ordinal-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°.