137,408
137,408 is a composite number, even.
137,408 (one hundred thirty-seven thousand four hundred eight) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 19 × 113. Its proper divisors sum to 152,152, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x218C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 804,731
- Recamán's sequence
- a(37,620) = 137,408
- Square (n²)
- 18,880,958,464
- Cube (n³)
- 2,594,394,740,621,312
- Divisor count
- 28
- σ(n) — sum of divisors
- 289,560
- φ(n) — Euler's totient
- 64,512
- Sum of prime factors
- 144
Primality
Prime factorization: 2 6 × 19 × 113
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,408 = [370; (1, 2, 5, 2, 5, 1, 1, 11, 23, 1, 4, 1, 5, 185, 5, 1, 4, 1, 23, 11, 1, 1, 5, 2, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand four hundred eight
- Ordinal
- 137408th
- Binary
- 100001100011000000
- Octal
- 414300
- Hexadecimal
- 0x218C0
- Base64
- AhjA
- One's complement
- 4,294,829,887 (32-bit)
- Scientific notation
- 1.37408 × 10⁵
- As a duration
- 137,408 s = 1 day, 14 hours, 10 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζυηʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋪·𝋨
- Chinese
- 一十三萬七千四百零八
- Chinese (financial)
- 壹拾參萬柒仟肆佰零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137408, here are decompositions:
- 67 + 137341 = 137408
- 157 + 137251 = 137408
- 199 + 137209 = 137408
- 211 + 137197 = 137408
- 277 + 137131 = 137408
- 331 + 137077 = 137408
- 379 + 137029 = 137408
- 409 + 136999 = 137408
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A3 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.192.
- Address
- 0.2.24.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.192
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 137,408 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 137408 first appears in π at position 48,945 of the decimal expansion (the 48,945ordinal-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.