133,416
133,416 is a composite number, even.
133,416 (one hundred thirty-three thousand four hundred sixteen) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 17 × 109. Its proper divisors sum to 252,684, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20928.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 216
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 614,331
- Recamán's sequence
- a(35,492) = 133,416
- Square (n²)
- 17,799,829,056
- Cube (n³)
- 2,374,781,993,335,296
- Divisor count
- 48
- σ(n) — sum of divisors
- 386,100
- φ(n) — Euler's totient
- 41,472
- Sum of prime factors
- 138
Primality
Prime factorization: 2 3 × 3 2 × 17 × 109
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,416 = [365; (3, 1, 4, 1, 1, 1, 19, 1, 1, 1, 4, 1, 3, 730)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand four hundred sixteen
- Ordinal
- 133416th
- Binary
- 100000100100101000
- Octal
- 404450
- Hexadecimal
- 0x20928
- Base64
- Agko
- One's complement
- 4,294,833,879 (32-bit)
- Scientific notation
- 1.33416 × 10⁵
- As a duration
- 133,416 s = 1 day, 13 hours, 3 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγυιϛʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋪·𝋰
- Chinese
- 一十三萬三千四百一十六
- Chinese (financial)
- 壹拾參萬參仟肆佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133416, here are decompositions:
- 13 + 133403 = 133416
- 29 + 133387 = 133416
- 37 + 133379 = 133416
- 67 + 133349 = 133416
- 79 + 133337 = 133416
- 89 + 133327 = 133416
- 97 + 133319 = 133416
- 113 + 133303 = 133416
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A4 A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.40.
- Address
- 0.2.9.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.9.40
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 133,416 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 133416 first appears in π at position 508,052 of the decimal expansion (the 508,052ordinal-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°.