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145,133

145,133 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.).

145,133 (one hundred forty-five thousand one hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x236ED.

Arithmetic Number Chen Prime 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
17
Digit product
180
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
331,541
Recamán's sequence
a(218,150) = 145,133
Square (n²)
21,063,587,689
Cube (n³)
3,057,021,672,067,637
Divisor count
2
σ(n) — sum of divisors
145,134
φ(n) — Euler's totient
145,132

Primality

145,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 145133
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 145,133)
1 × 145133
First multiples
145,133 · 290,266 (double) · 435,399 · 580,532 · 725,665 · 870,798 · 1,015,931 · 1,161,064 · 1,306,197 · 1,451,330

Sums & aliquot sequence

As a sum of two squares: 202² + 323²
As consecutive integers: 72,566 + 72,567

Continued fraction of √n

√145,133 = [380; (1, 26, 4, 1, 2, 3, 1, 1, 7, 1, 2, 1, 1, 6, 1, 32, 3, 1, 5, 1, 107, 1, 189, 2, …)]

Representations

In words
one hundred forty-five thousand one hundred thirty-three
Ordinal
145133rd
Binary
100011011011101101
Octal
433355
Hexadecimal
0x236ED
Base64
Ajbt
One's complement
4,294,822,162 (32-bit)
Scientific notation
1.45133 × 10⁵
As a duration
145,133 s = 1 day, 16 hours, 18 minutes, 53 seconds
In other bases
ternary (3) 21101002022
quaternary (4) 203123231
quinary (5) 14121013
senary (6) 3035525
septenary (7) 1143062
nonary (9) 241068
undecimal (11) 9a04a
duodecimal (12) 6bba5
tridecimal (13) 510a1
tetradecimal (14) 3ac69
pentadecimal (15) 2d008

As an angle

145,133° = 403 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρμερλγʹ
Mayan (base 20)
𝋲·𝋢·𝋰·𝋭
Chinese
一十四萬五千一百三十三
Chinese (financial)
壹拾肆萬伍仟壹佰參拾參
In other modern scripts
Eastern Arabic ١٤٥١٣٣ Devanagari १४५१३३ Bengali ১৪৫১৩৩ Tamil ௧௪௫௧௩௩ Thai ๑๔๕๑๓๓ Tibetan ༡༤༥༡༣༣ Khmer ១៤៥១៣៣ Lao ໑໔໕໑໓໓ Burmese ၁၄၅၁၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 145139.

Unicode codepoint
𣛭
CJK Unified Ideograph-236Ed
U+236ED
Other letter (Lo)

UTF-8 encoding: F0 A3 9B AD (4 bytes).

Hex color
#0236ED
RGB(2, 54, 237)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.54.237.

Address
0.2.54.237
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.54.237

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 145,133 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 145133 first appears in π at position 650,029 of the decimal expansion (the 650,029ordinal-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.