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140,401

140,401 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.).

140,401 (one hundred forty thousand four hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x22471.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
104,041
Recamán's sequence
a(488,025) = 140,401
Square (n²)
19,712,440,801
Cube (n³)
2,767,646,400,901,201
Divisor count
2
σ(n) — sum of divisors
140,402
φ(n) — Euler's totient
140,400

Primality

140,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 140401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 140,401)
1 × 140401
First multiples
140,401 · 280,802 (double) · 421,203 · 561,604 · 702,005 · 842,406 · 982,807 · 1,123,208 · 1,263,609 · 1,404,010

Sums & aliquot sequence

As a sum of two squares: 249² + 280²
As consecutive integers: 70,200 + 70,201

Continued fraction of √n

√140,401 = [374; (1, 2, 2, 1, 7, 1, 1, 6, 1, 1, 1, 1, 5, 2, 1, 1, 3, 4, 249, 1, 1, 3, 4, 2, …)]

Representations

In words
one hundred forty thousand four hundred one
Ordinal
140401st
Binary
100010010001110001
Octal
422161
Hexadecimal
0x22471
Base64
AiRx
One's complement
4,294,826,894 (32-bit)
Scientific notation
1.40401 × 10⁵
As a duration
140,401 s = 1 day, 15 hours, 1 second
In other bases
ternary (3) 21010121001
quaternary (4) 202101301
quinary (5) 13443101
senary (6) 3002001
septenary (7) 1123222
nonary (9) 233531
undecimal (11) 96538
duodecimal (12) 69301
tridecimal (13) 4bba1
tetradecimal (14) 39249
pentadecimal (15) 2b901

As an angle

140,401° = 390 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρμυαʹ
Mayan (base 20)
𝋱·𝋫·𝋠·𝋡
Chinese
一十四萬零四百零一
Chinese (financial)
壹拾肆萬零肆佰零壹
In other modern scripts
Eastern Arabic ١٤٠٤٠١ Devanagari १४०४०१ Bengali ১৪০৪০১ Tamil ௧௪௦௪௦௧ Thai ๑๔๐๔๐๑ Tibetan ༡༤༠༤༠༡ Khmer ១៤០៤០១ Lao ໑໔໐໔໐໑ Burmese ၁၄၀၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 140407.

Unicode codepoint
𢑱
CJK Unified Ideograph-22471
U+22471
Other letter (Lo)

UTF-8 encoding: F0 A2 91 B1 (4 bytes).

Hex color
#022471
RGB(2, 36, 113)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.36.113.

Address
0.2.36.113
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.36.113

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 140,401 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 140401 first appears in π at position 287,445 of the decimal expansion (the 287,445ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.