128,040
128,040 is a composite number, even.
128,040 (one hundred twenty-eight thousand forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 11 × 97. Its proper divisors sum to 295,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F428.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 40,821
- Square (n²)
- 16,394,241,600
- Cube (n³)
- 2,099,118,694,464,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 423,360
- φ(n) — Euler's totient
- 30,720
- Sum of prime factors
- 122
Primality
Prime factorization: 2 3 × 3 × 5 × 11 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√128,040 = [357; (1, 4, 1, 3, 2, 2, 29, 2, 2, 3, 1, 4, 1, 714)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-eight thousand forty
- Ordinal
- 128040th
- Binary
- 11111010000101000
- Octal
- 372050
- Hexadecimal
- 0x1F428
- Base64
- AfQo
- One's complement
- 4,294,839,255 (32-bit)
- Scientific notation
- 1.2804 × 10⁵
- As a duration
- 128,040 s = 1 day, 11 hours, 34 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκημʹ
- Mayan (base 20)
- 𝋰·𝋠·𝋢·𝋠
- Chinese
- 一十二萬八千零四十
- Chinese (financial)
- 壹拾貳萬捌仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128040, here are decompositions:
- 7 + 128033 = 128040
- 19 + 128021 = 128040
- 43 + 127997 = 128040
- 61 + 127979 = 128040
- 67 + 127973 = 128040
- 89 + 127951 = 128040
- 109 + 127931 = 128040
- 127 + 127913 = 128040
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9F 90 A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.244.40.
- Address
- 0.1.244.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.244.40
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 128,040 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 128040 first appears in π at position 634,732 of the decimal expansion (the 634,732ordinal-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°.