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140,813

140,813 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.).

140,813 (one hundred forty thousand eight hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2260D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
318,041
Recamán's sequence
a(487,201) = 140,813
Square (n²)
19,828,300,969
Cube (n³)
2,792,082,544,347,797
Divisor count
2
σ(n) — sum of divisors
140,814
φ(n) — Euler's totient
140,812

Primality

140,813 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 140813
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 140,813)
1 × 140813
First multiples
140,813 · 281,626 (double) · 422,439 · 563,252 · 704,065 · 844,878 · 985,691 · 1,126,504 · 1,267,317 · 1,408,130

Sums & aliquot sequence

As a sum of two squares: 163² + 338²
As consecutive integers: 70,406 + 70,407

Continued fraction of √n

√140,813 = [375; (3, 1, 106, 2, 6, 1, 1, 14, 1, 3, 1, 1, 3, 1, 3, 1, 1, 2, 1, 1, 13, 1, 5, 1, …)]

Representations

In words
one hundred forty thousand eight hundred thirteen
Ordinal
140813th
Binary
100010011000001101
Octal
423015
Hexadecimal
0x2260D
Base64
AiYN
One's complement
4,294,826,482 (32-bit)
Scientific notation
1.40813 × 10⁵
As a duration
140,813 s = 1 day, 15 hours, 6 minutes, 53 seconds
In other bases
ternary (3) 21011011022
quaternary (4) 202120031
quinary (5) 14001223
senary (6) 3003525
septenary (7) 1124351
nonary (9) 234138
undecimal (11) 96882
duodecimal (12) 695a5
tridecimal (13) 4c12a
tetradecimal (14) 39461
pentadecimal (15) 2bac8

As an angle

140,813° = 391 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρμωιγʹ
Mayan (base 20)
𝋱·𝋬·𝋠·𝋭
Chinese
一十四萬零八百一十三
Chinese (financial)
壹拾肆萬零捌佰壹拾參
In other modern scripts
Eastern Arabic ١٤٠٨١٣ Devanagari १४०८१३ Bengali ১৪০৮১৩ Tamil ௧௪௦௮௧௩ Thai ๑๔๐๘๑๓ Tibetan ༡༤༠༨༡༣ Khmer ១៤០៨១៣ Lao ໑໔໐໘໑໓ Burmese ၁၄၀၈၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𢘍
CJK Unified Ideograph-2260D
U+2260D
Other letter (Lo)

UTF-8 encoding: F0 A2 98 8D (4 bytes).

Hex color
#02260D
RGB(2, 38, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.38.13.

Address
0.2.38.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.38.13

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 140,813 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 140813 first appears in π at position 145,831 of the decimal expansion (the 145,831ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.