42,120
42,120 is a composite number, even.
42,120 (forty-two thousand one hundred twenty) is an even 5-digit number. It is a composite number with 80 divisors, and factors as 2³ × 3⁴ × 5 × 13. Its proper divisors sum to 110,340, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA488.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 2,124
- Recamán's sequence
- a(151,383) = 42,120
- Square (n²)
- 1,774,094,400
- Cube (n³)
- 74,724,856,128,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 152,460
- φ(n) — Euler's totient
- 10,368
- Sum of prime factors
- 36
Primality
Prime factorization: 2 3 × 3 4 × 5 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√42,120 = [205; (4, 3, 7, 45, 2, 7, 1, 7, 2, 45, 7, 3, 4, 410)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- forty-two thousand one hundred twenty
- Ordinal
- 42120th
- Binary
- 1010010010001000
- Octal
- 122210
- Hexadecimal
- 0xA488
- Base64
- pIg=
- One's complement
- 23,415 (16-bit)
- Scientific notation
- 4.212 × 10⁴
- As a duration
- 42,120 s = 11 hours, 42 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵μβρκʹ
- Mayan (base 20)
- 𝋥·𝋥·𝋦·𝋠
- Chinese
- 四萬二千一百二十
- Chinese (financial)
- 肆萬貳仟壹佰貳拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 42,120 = 6
- e — Euler's number (e)
- Digit 42,120 = 6
- φ — Golden ratio (φ)
- Digit 42,120 = 7
- √2 — Pythagoras's (√2)
- Digit 42,120 = 4
- ln 2 — Natural log of 2
- Digit 42,120 = 4
- γ — Euler-Mascheroni (γ)
- Digit 42,120 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42120, here are decompositions:
- 19 + 42101 = 42120
- 31 + 42089 = 42120
- 37 + 42083 = 42120
- 47 + 42073 = 42120
- 59 + 42061 = 42120
- 97 + 42023 = 42120
- 101 + 42019 = 42120
- 103 + 42017 = 42120
Showing the first eight; more decompositions exist.
UTF-8 encoding: EA 92 88 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.136.
- Address
- 0.0.164.136
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.164.136
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 42120 first appears in π at position 106,522 of the decimal expansion (the 106,522ordinal-suffix:nd 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°.