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144,013

144,013 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.).

144,013 (one hundred forty-four thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2328D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
310,441
Recamán's sequence
a(220,390) = 144,013
Square (n²)
20,739,744,169
Cube (n³)
2,986,792,777,010,197
Divisor count
2
σ(n) — sum of divisors
144,014
φ(n) — Euler's totient
144,012

Primality

144,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 144013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 144,013)
1 × 144013
First multiples
144,013 · 288,026 (double) · 432,039 · 576,052 · 720,065 · 864,078 · 1,008,091 · 1,152,104 · 1,296,117 · 1,440,130

Sums & aliquot sequence

As a sum of two squares: 182² + 333²
As consecutive integers: 72,006 + 72,007

Continued fraction of √n

√144,013 = [379; (2, 25, 1, 2, 20, 5, 1, 2, 2, 1, 13, 1, 8, 2, 3, 1, 1, 5, 2, 2, 2, 1, 1, 1, …)]

Representations

In words
one hundred forty-four thousand thirteen
Ordinal
144013th
Binary
100011001010001101
Octal
431215
Hexadecimal
0x2328D
Base64
AjKN
One's complement
4,294,823,282 (32-bit)
Scientific notation
1.44013 × 10⁵
As a duration
144,013 s = 1 day, 16 hours, 13 seconds
In other bases
ternary (3) 21022112211
quaternary (4) 203022031
quinary (5) 14102023
senary (6) 3030421
septenary (7) 1136602
nonary (9) 238484
undecimal (11) 99221
duodecimal (12) 6b411
tridecimal (13) 5071c
tetradecimal (14) 3a6a9
pentadecimal (15) 2ca0d

As an angle

144,013° = 400 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 · 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρμδιγʹ
Mayan (base 20)
𝋲·𝋠·𝋠·𝋭
Chinese
一十四萬四千零一十三
Chinese (financial)
壹拾肆萬肆仟零壹拾參
In other modern scripts
Eastern Arabic ١٤٤٠١٣ Devanagari १४४०१३ Bengali ১৪৪০১৩ Tamil ௧௪௪௦௧௩ Thai ๑๔๔๐๑๓ Tibetan ༡༤༤༠༡༣ Khmer ១៤៤០១៣ Lao ໑໔໔໐໑໓ Burmese ၁၄၄၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𣊍
CJK Unified Ideograph-2328D
U+2328D
Other letter (Lo)

UTF-8 encoding: F0 A3 8A 8D (4 bytes).

Hex color
#02328D
RGB(2, 50, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.50.141.

Address
0.2.50.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.50.141

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 144,013 and was likely granted around 1873.

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

Position in π

The digit sequence 144013 first appears in π at position 479,361 of the decimal expansion (the 479,361ordinal-suffix:st 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.