137,448
137,448 is a composite number, even.
137,448 (one hundred thirty-seven thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 23 × 83. Its proper divisors sum to 255,672, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x218E8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 2,688
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 844,731
- Square (n²)
- 18,891,952,704
- Cube (n³)
- 2,596,661,115,259,392
- Divisor count
- 48
- σ(n) — sum of divisors
- 393,120
- φ(n) — Euler's totient
- 43,296
- Sum of prime factors
- 118
Primality
Prime factorization: 2 3 × 3 2 × 23 × 83
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,448 = [370; (1, 2, 1, 5, 2, 1, 1, 1, 4, 1, 1, 3, 1, 5, 5, 82, 5, 5, 1, 3, 1, 1, 4, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand four hundred forty-eight
- Ordinal
- 137448th
- Binary
- 100001100011101000
- Octal
- 414350
- Hexadecimal
- 0x218E8
- Base64
- Ahjo
- One's complement
- 4,294,829,847 (32-bit)
- Scientific notation
- 1.37448 × 10⁵
- As a duration
- 137,448 s = 1 day, 14 hours, 10 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζυμηʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋬·𝋨
- Chinese
- 一十三萬七千四百四十八
- Chinese (financial)
- 壹拾參萬柒仟肆佰肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137448, here are decompositions:
- 5 + 137443 = 137448
- 11 + 137437 = 137448
- 61 + 137387 = 137448
- 79 + 137369 = 137448
- 89 + 137359 = 137448
- 107 + 137341 = 137448
- 109 + 137339 = 137448
- 127 + 137321 = 137448
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A3 A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.232.
- Address
- 0.2.24.232
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.232
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 137,448 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 137448 first appears in π at position 72,063 of the decimal expansion (the 72,063ordinal-suffix:rd 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°.