120,414
120,414 is a composite number, even.
120,414 (one hundred twenty thousand four hundred fourteen) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 47 × 61. Its proper divisors sum to 165,282, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D65E.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 414,021
- Square (n²)
- 14,499,531,396
- Cube (n³)
- 1,745,946,573,517,944
- Divisor count
- 32
- σ(n) — sum of divisors
- 285,696
- φ(n) — Euler's totient
- 33,120
- Sum of prime factors
- 120
Primality
Prime factorization: 2 × 3 × 7 × 47 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,414 = [347; (138, 1, 4, 27, 1, 1, 3, 1, 1, 1, 4, 1, 10, 2, 1, 2, 3, 1, 1, 1, 1, 2, 14, 2, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand four hundred fourteen
- Ordinal
- 120414th
- Binary
- 11101011001011110
- Octal
- 353136
- Hexadecimal
- 0x1D65E
- Base64
- AdZe
- One's complement
- 4,294,846,881 (32-bit)
- Scientific notation
- 1.20414 × 10⁵
- As a duration
- 120,414 s = 1 day, 9 hours, 26 minutes, 54 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκυιδʹ
- Mayan (base 20)
- 𝋯·𝋡·𝋠·𝋮
- Chinese
- 一十二萬零四百一十四
- Chinese (financial)
- 壹拾貳萬零肆佰壹拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120414, here are decompositions:
- 13 + 120401 = 120414
- 17 + 120397 = 120414
- 23 + 120391 = 120414
- 31 + 120383 = 120414
- 43 + 120371 = 120414
- 83 + 120331 = 120414
- 131 + 120283 = 120414
- 137 + 120277 = 120414
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 99 9E (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.94.
- Address
- 0.1.214.94
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.214.94
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 120,414 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 120414 first appears in π at position 718,626 of the decimal expansion (the 718,626ordinal-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°.