138,624
138,624 is a composite number, even.
138,624 (one hundred thirty-eight thousand six hundred twenty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁷ × 3 × 19². Its proper divisors sum to 249,996, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D80.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 1,152
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 426,831
- Recamán's sequence
- a(491,579) = 138,624
- Square (n²)
- 19,216,613,376
- Cube (n³)
- 2,663,883,812,634,624
- Divisor count
- 48
- σ(n) — sum of divisors
- 388,620
- φ(n) — Euler's totient
- 43,776
- Sum of prime factors
- 55
Primality
Prime factorization: 2 7 × 3 × 19 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,624 = [372; (3, 9, 1, 6, 1, 1, 5, 3, 1, 1, 9, 1, 11, 1, 1, 46, 49, 1, 1, 1, 1, 1, 3, 1, …)]
Representations
- In words
- one hundred thirty-eight thousand six hundred twenty-four
- Ordinal
- 138624th
- Binary
- 100001110110000000
- Octal
- 416600
- Hexadecimal
- 0x21D80
- Base64
- Ah2A
- One's complement
- 4,294,828,671 (32-bit)
- Scientific notation
- 1.38624 × 10⁵
- As a duration
- 138,624 s = 1 day, 14 hours, 30 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληχκδʹ
- Mayan (base 20)
- 𝋱·𝋦·𝋫·𝋤
- Chinese
- 一十三萬八千六百二十四
- Chinese (financial)
- 壹拾參萬捌仟陸佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138624, here are decompositions:
- 7 + 138617 = 138624
- 37 + 138587 = 138624
- 43 + 138581 = 138624
- 47 + 138577 = 138624
- 53 + 138571 = 138624
- 61 + 138563 = 138624
- 107 + 138517 = 138624
- 113 + 138511 = 138624
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B6 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.128.
- Address
- 0.2.29.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.29.128
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 138,624 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 138624 first appears in π at position 671,309 of the decimal expansion (the 671,309ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.