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140,681

140,681 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.).

140,681 (one hundred forty thousand six hundred eighty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x22589.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
186,041
Recamán's sequence
a(487,465) = 140,681
Square (n²)
19,791,143,761
Cube (n³)
2,784,237,895,441,241
Divisor count
2
σ(n) — sum of divisors
140,682
φ(n) — Euler's totient
140,680

Primality

140,681 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 140681
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 140,681)
1 × 140681
First multiples
140,681 · 281,362 (double) · 422,043 · 562,724 · 703,405 · 844,086 · 984,767 · 1,125,448 · 1,266,129 · 1,406,810

Sums & aliquot sequence

As a sum of two squares: 245² + 284²
As consecutive integers: 70,340 + 70,341

Continued fraction of √n

√140,681 = [375; (13, 2, 1, 1, 6, 3, 1, 1, 32, 21, 2, 2, 18, 2, 1, 5, 3, 23, 7, 1, 5, 1, 4, 1, …)]

Representations

In words
one hundred forty thousand six hundred eighty-one
Ordinal
140681st
Binary
100010010110001001
Octal
422611
Hexadecimal
0x22589
Base64
AiWJ
One's complement
4,294,826,614 (32-bit)
Scientific notation
1.40681 × 10⁵
As a duration
140,681 s = 1 day, 15 hours, 4 minutes, 41 seconds
In other bases
ternary (3) 21010222102
quaternary (4) 202112021
quinary (5) 14000211
senary (6) 3003145
septenary (7) 1124102
nonary (9) 233872
undecimal (11) 96772
duodecimal (12) 694b5
tridecimal (13) 4c058
tetradecimal (14) 393a9
pentadecimal (15) 2ba3b

As an angle

140,681° = 390 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρμχπαʹ
Mayan (base 20)
𝋱·𝋫·𝋮·𝋡
Chinese
一十四萬零六百八十一
Chinese (financial)
壹拾肆萬零陸佰捌拾壹
In other modern scripts
Eastern Arabic ١٤٠٦٨١ Devanagari १४०६८१ Bengali ১৪০৬৮১ Tamil ௧௪௦௬௮௧ Thai ๑๔๐๖๘๑ Tibetan ༡༤༠༦༨༡ Khmer ១៤០៦៨១ Lao ໑໔໐໖໘໑ Burmese ၁၄၀၆၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 140683, cousin with 140677.

Unicode codepoint
𢖉
CJK Unified Ideograph-22589
U+22589
Other letter (Lo)

UTF-8 encoding: F0 A2 96 89 (4 bytes).

Hex color
#022589
RGB(2, 37, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.37.137.

Address
0.2.37.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.37.137

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 140,681 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 140681 first appears in π at position 370,804 of the decimal expansion (the 370,804ordinal-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.