121,440
121,440 is a composite number, even.
121,440 (one hundred twenty-one thousand four hundred forty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 11 × 23. Its proper divisors sum to 314,016, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DA60.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 44,121
- Square (n²)
- 14,747,673,600
- Cube (n³)
- 1,790,957,481,984,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 435,456
- φ(n) — Euler's totient
- 28,160
- Sum of prime factors
- 52
Primality
Prime factorization: 2 5 × 3 × 5 × 11 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√121,440 = [348; (2, 13, 1, 2, 1, 1, 1, 1, 1, 173, 1, 1, 1, 1, 1, 2, 1, 13, 2, 696)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-one thousand four hundred forty
- Ordinal
- 121440th
- Binary
- 11101101001100000
- Octal
- 355140
- Hexadecimal
- 0x1DA60
- Base64
- Adpg
- One's complement
- 4,294,845,855 (32-bit)
- Scientific notation
- 1.2144 × 10⁵
- As a duration
- 121,440 s = 1 day, 9 hours, 44 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκαυμʹ
- Mayan (base 20)
- 𝋯·𝋣·𝋬·𝋠
- Chinese
- 一十二萬一千四百四十
- Chinese (financial)
- 壹拾貳萬壹仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121440, here are decompositions:
- 19 + 121421 = 121440
- 37 + 121403 = 121440
- 61 + 121379 = 121440
- 71 + 121369 = 121440
- 73 + 121367 = 121440
- 83 + 121357 = 121440
- 89 + 121351 = 121440
- 97 + 121343 = 121440
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D A9 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.96.
- Address
- 0.1.218.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.218.96
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 121,440 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.