138,402
138,402 is a composite number, even.
138,402 (one hundred thirty-eight thousand four hundred two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 11 × 233. Its proper divisors sum to 198,558, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21CA2.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 204,831
- Recamán's sequence
- a(492,023) = 138,402
- Square (n²)
- 19,155,113,604
- Cube (n³)
- 2,651,106,033,020,808
- Divisor count
- 32
- σ(n) — sum of divisors
- 336,960
- φ(n) — Euler's totient
- 41,760
- Sum of prime factors
- 255
Primality
Prime factorization: 2 × 3 3 × 11 × 233
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,402 = [372; (41, 2, 1, 82, 372, 82, 1, 2, 41, 744)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand four hundred two
- Ordinal
- 138402nd
- Binary
- 100001110010100010
- Octal
- 416242
- Hexadecimal
- 0x21CA2
- Base64
- Ahyi
- One's complement
- 4,294,828,893 (32-bit)
- Scientific notation
- 1.38402 × 10⁵
- As a duration
- 138,402 s = 1 day, 14 hours, 26 minutes, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺
- Greek (Milesian)
- ͵ρληυβʹ
- Mayan (base 20)
- 𝋱·𝋦·𝋠·𝋢
- Chinese
- 一十三萬八千四百零二
- Chinese (financial)
- 壹拾參萬捌仟肆佰零貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138402, here are decompositions:
- 13 + 138389 = 138402
- 29 + 138373 = 138402
- 31 + 138371 = 138402
- 53 + 138349 = 138402
- 79 + 138323 = 138402
- 83 + 138319 = 138402
- 113 + 138289 = 138402
- 151 + 138251 = 138402
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B2 A2 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.162.
- Address
- 0.2.28.162
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.28.162
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 138,402 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 138402 first appears in π at position 144,339 of the decimal expansion (the 144,339ordinal-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°.