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140,249

140,249 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.).

140,249 (one hundred forty thousand two 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, 0x223D9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
942,041
Recamán's sequence
a(488,329) = 140,249
Square (n²)
19,669,782,001
Cube (n³)
2,758,667,255,858,249
Divisor count
2
σ(n) — sum of divisors
140,250
φ(n) — Euler's totient
140,248

Primality

140,249 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 140249
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 140,249)
1 × 140249
First multiples
140,249 · 280,498 (double) · 420,747 · 560,996 · 701,245 · 841,494 · 981,743 · 1,121,992 · 1,262,241 · 1,402,490

Sums & aliquot sequence

As a sum of two squares: 157² + 340²
As consecutive integers: 70,124 + 70,125

Continued fraction of √n

√140,249 = [374; (2, 149, 3, 2, 1, 29, 3, 1, 5, 1, 1, 5, 2, 4, 1, 2, 2, 2, 3, 25, 1, 1, 6, 1, …)]

Representations

In words
one hundred forty thousand two hundred forty-nine
Ordinal
140249th
Binary
100010001111011001
Octal
421731
Hexadecimal
0x223D9
Base64
AiPZ
One's complement
4,294,827,046 (32-bit)
Scientific notation
1.40249 × 10⁵
As a duration
140,249 s = 1 day, 14 hours, 57 minutes, 29 seconds
In other bases
ternary (3) 21010101102
quaternary (4) 202033121
quinary (5) 13441444
senary (6) 3001145
septenary (7) 1122614
nonary (9) 233342
undecimal (11) 9640a
duodecimal (12) 691b5
tridecimal (13) 4bab5
tetradecimal (14) 3917b
pentadecimal (15) 2b84e

As an angle

140,249° = 389 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμσμθʹ
Mayan (base 20)
𝋱·𝋪·𝋬·𝋩
Chinese
一十四萬零二百四十九
Chinese (financial)
壹拾肆萬零貳佰肆拾玖
In other modern scripts
Eastern Arabic ١٤٠٢٤٩ Devanagari १४०२४९ Bengali ১৪০২৪৯ Tamil ௧௪௦௨௪௯ Thai ๑๔๐๒๔๙ Tibetan ༡༤༠༢༤༩ Khmer ១៤០២៤៩ Lao ໑໔໐໒໔໙ Burmese ၁၄၀၂၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𢏙
CJK Unified Ideograph-223D9
U+223D9
Other letter (Lo)

UTF-8 encoding: F0 A2 8F 99 (4 bytes).

Hex color
#0223D9
RGB(2, 35, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.35.217.

Address
0.2.35.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.35.217

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 140,249 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 140249 first appears in π at position 836,756 of the decimal expansion (the 836,756ordinal-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.