number.wiki
Live analysis

138,449

138,449 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

138,449 (one hundred thirty-eight thousand four hundred forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21CD1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
3,456
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
944,831
Recamán's sequence
a(491,929) = 138,449
Square (n²)
19,168,125,601
Cube (n³)
2,653,807,821,332,849
Divisor count
2
σ(n) — sum of divisors
138,450
φ(n) — Euler's totient
138,448

Primality

138,449 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138449
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,449)
1 × 138449
First multiples
138,449 · 276,898 (double) · 415,347 · 553,796 · 692,245 · 830,694 · 969,143 · 1,107,592 · 1,246,041 · 1,384,490

Sums & aliquot sequence

As a sum of two squares: 55² + 368²
As consecutive integers: 69,224 + 69,225

Continued fraction of √n

√138,449 = [372; (11, 2, 4, 3, 1, 4, 1, 1, 2, 3, 1, 5, 11, 2, 4, 1, 148, 57, 4, 4, 1, 2, 1, 13, …)]

Representations

In words
one hundred thirty-eight thousand four hundred forty-nine
Ordinal
138449th
Binary
100001110011010001
Octal
416321
Hexadecimal
0x21CD1
Base64
AhzR
One's complement
4,294,828,846 (32-bit)
Scientific notation
1.38449 × 10⁵
As a duration
138,449 s = 1 day, 14 hours, 27 minutes, 29 seconds
In other bases
ternary (3) 21000220202
quaternary (4) 201303101
quinary (5) 13412244
senary (6) 2544545
septenary (7) 1114433
nonary (9) 230822
undecimal (11) 95023
duodecimal (12) 68155
tridecimal (13) 4b02c
tetradecimal (14) 38653
pentadecimal (15) 2b04e

As an angle

138,449° = 384 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληυμθʹ
Mayan (base 20)
𝋱·𝋦·𝋢·𝋩
Chinese
一十三萬八千四百四十九
Chinese (financial)
壹拾參萬捌仟肆佰肆拾玖
In other modern scripts
Eastern Arabic ١٣٨٤٤٩ Devanagari १३८४४९ Bengali ১৩৮৪৪৯ Tamil ௧௩௮௪௪௯ Thai ๑๓๘๔๔๙ Tibetan ༡༣༨༤༤༩ Khmer ១៣៨៤៤៩ Lao ໑໓໘໔໔໙ Burmese ၁၃၈၄၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 138451.

Unicode codepoint
𡳑
CJK Unified Ideograph-21Cd1
U+21CD1
Other letter (Lo)

UTF-8 encoding: F0 A1 B3 91 (4 bytes).

Hex color
#021CD1
RGB(2, 28, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.209.

Address
0.2.28.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.209

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 138,449 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 138449 first appears in π at position 321,627 of the decimal expansion (the 321,627ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.