138,000
138,000 is a composite number, even.
138,000 (one hundred thirty-eight thousand) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5³ × 23. Its proper divisors sum to 326,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B10.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 831
- Recamán's sequence
- a(492,827) = 138,000
- Square (n²)
- 19,044,000,000
- Cube (n³)
- 2,628,072,000,000,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 464,256
- φ(n) — Euler's totient
- 35,200
- Sum of prime factors
- 49
Primality
Prime factorization: 2 4 × 3 × 5 3 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,000 = [371; (2, 14, 1, 1, 1, 29, 16, 1, 5, 1, 3, 29, 2, 5, 1, 1, 1, 5, 2, 29, 3, 1, 5, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand
- Ordinal
- 138000th
- Binary
- 100001101100010000
- Octal
- 415420
- Hexadecimal
- 0x21B10
- Base64
- AhsQ
- One's complement
- 4,294,829,295 (32-bit)
- Scientific notation
- 1.38 × 10⁵
- As a duration
- 138,000 s = 1 day, 14 hours, 20 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
- Greek (Milesian)
- ͵ρλη
- Mayan (base 20)
- 𝋱·𝋥·𝋠·𝋠
- Chinese
- 一十三萬八千
- Chinese (financial)
- 壹拾參萬捌仟
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138000, here are decompositions:
- 7 + 137993 = 138000
- 17 + 137983 = 138000
- 43 + 137957 = 138000
- 53 + 137947 = 138000
- 59 + 137941 = 138000
- 67 + 137933 = 138000
- 73 + 137927 = 138000
- 89 + 137911 = 138000
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AC 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.16.
- Address
- 0.2.27.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.16
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 138,000 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 138000 first appears in π at position 963,713 of the decimal expansion (the 963,713ordinal-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°.