137,144
137,144 is a composite number, even.
137,144 (one hundred thirty-seven thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 31 × 79. Its proper divisors sum to 170,056, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x217B8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 336
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 441,731
- Square (n²)
- 18,808,476,736
- Cube (n³)
- 2,579,469,733,481,984
- Divisor count
- 32
- σ(n) — sum of divisors
- 307,200
- φ(n) — Euler's totient
- 56,160
- Sum of prime factors
- 123
Primality
Prime factorization: 2 3 × 7 × 31 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,144 = [370; (3, 29, 3, 2, 2, 3, 3, 2, 3, 92, 3, 2, 3, 3, 2, 2, 3, 29, 3, 740)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand one hundred forty-four
- Ordinal
- 137144th
- Binary
- 100001011110111000
- Octal
- 413670
- Hexadecimal
- 0x217B8
- Base64
- Ahe4
- One's complement
- 4,294,830,151 (32-bit)
- Scientific notation
- 1.37144 × 10⁵
- As a duration
- 137,144 s = 1 day, 14 hours, 5 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζρμδʹ
- Mayan (base 20)
- 𝋱·𝋢·𝋱·𝋤
- Chinese
- 一十三萬七千一百四十四
- Chinese (financial)
- 壹拾參萬柒仟壹佰肆拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137144, here are decompositions:
- 13 + 137131 = 137144
- 67 + 137077 = 137144
- 151 + 136993 = 137144
- 157 + 136987 = 137144
- 181 + 136963 = 137144
- 193 + 136951 = 137144
- 283 + 136861 = 137144
- 331 + 136813 = 137144
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 9E B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.184.
- Address
- 0.2.23.184
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.23.184
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 137,144 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 137144 first appears in π at position 449,319 of the decimal expansion (the 449,319ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.