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149,033

149,033 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.).

149,033 (one hundred forty-nine thousand thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x24629.

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
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
330,941
Recamán's sequence
a(211,066) = 149,033
Square (n²)
22,210,835,089
Cube (n³)
3,310,147,385,818,937
Divisor count
2
σ(n) — sum of divisors
149,034
φ(n) — Euler's totient
149,032

Primality

149,033 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 149033
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 149,033)
1 × 149033
First multiples
149,033 · 298,066 (double) · 447,099 · 596,132 · 745,165 · 894,198 · 1,043,231 · 1,192,264 · 1,341,297 · 1,490,330

Sums & aliquot sequence

As a sum of two squares: 197² + 332²
As consecutive integers: 74,516 + 74,517

Continued fraction of √n

√149,033 = [386; (20, 1, 6, 2, 8, 3, 3, 1, 17, 5, 2, 1, 10, 1, 5, 8, 1, 1, 40, 9, 3, 1, 1, 1, …)]

Representations

In words
one hundred forty-nine thousand thirty-three
Ordinal
149033rd
Binary
100100011000101001
Octal
443051
Hexadecimal
0x24629
Base64
AkYp
One's complement
4,294,818,262 (32-bit)
Scientific notation
1.49033 × 10⁵
As a duration
149,033 s = 1 day, 17 hours, 23 minutes, 53 seconds
In other bases
ternary (3) 21120102202
quaternary (4) 210120221
quinary (5) 14232113
senary (6) 3105545
septenary (7) 1160333
nonary (9) 246382
undecimal (11) a1a75
duodecimal (12) 722b5
tridecimal (13) 52ab1
tetradecimal (14) 3c453
pentadecimal (15) 2e258

As an angle

149,033° = 413 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρμθλγʹ
Mayan (base 20)
𝋲·𝋬·𝋫·𝋭
Chinese
一十四萬九千零三十三
Chinese (financial)
壹拾肆萬玖仟零參拾參
In other modern scripts
Eastern Arabic ١٤٩٠٣٣ Devanagari १४९०३३ Bengali ১৪৯০৩৩ Tamil ௧௪௯௦௩௩ Thai ๑๔๙๐๓๓ Tibetan ༡༤༩༠༣༣ Khmer ១៤៩០៣៣ Lao ໑໔໙໐໓໓ Burmese ၁၄၉၀၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 149027.

Unicode codepoint
𤘩
CJK Unified Ideograph-24629
U+24629
Other letter (Lo)

UTF-8 encoding: F0 A4 98 A9 (4 bytes).

Hex color
#024629
RGB(2, 70, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.70.41.

Address
0.2.70.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.70.41

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 149,033 and was likely granted around 1873.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.