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133,014

133,014 is a composite number, even.

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.).

133,014 (one hundred thirty-three thousand fourteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 3,167. Its proper divisors sum to 171,114, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20796.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
410,331
Square (n²)
17,692,724,196
Cube (n³)
2,353,380,016,206,744
Divisor count
16
σ(n) — sum of divisors
304,128
φ(n) — Euler's totient
37,992
Sum of prime factors
3,179

Primality

Prime factorization: 2 × 3 × 7 × 3167

Nearest primes: 133,013 (−1) · 133,033 (+19)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 3167 · 6334 · 9501 · 19002 · 22169 · 44338 · 66507 (half) · 133014
Aliquot sum (sum of proper divisors): 171,114
Factor pairs (a × b = 133,014)
1 × 133014
2 × 66507
3 × 44338
6 × 22169
7 × 19002
14 × 9501
21 × 6334
42 × 3167
First multiples
133,014 · 266,028 (double) · 399,042 · 532,056 · 665,070 · 798,084 · 931,098 · 1,064,112 · 1,197,126 · 1,330,140

Sums & aliquot sequence

As consecutive integers: 44,337 + 44,338 + 44,339 33,252 + 33,253 + 33,254 + 33,255 18,999 + 19,000 + … + 19,005 11,079 + 11,080 + … + 11,090
Aliquot sequence: 133,014 171,114 194,646 194,658 194,670 404,370 647,226 790,938 996,582 1,010,778 1,010,790 1,858,986 2,203,254 2,692,986 2,733,414 2,787,738 3,030,438 — unresolved within range

Continued fraction of √n

√133,014 = [364; (1, 2, 2, 5, 1, 1, 145, 2, 1, 11, 1, 9, 1, 28, 3, 1, 2, 1, 1, 1, 3, 1, 1, 2, …)]

Representations

In words
one hundred thirty-three thousand fourteen
Ordinal
133014th
Binary
100000011110010110
Octal
403626
Hexadecimal
0x20796
Base64
AgeW
One's complement
4,294,834,281 (32-bit)
Scientific notation
1.33014 × 10⁵
As a duration
133,014 s = 1 day, 12 hours, 56 minutes, 54 seconds
In other bases
ternary (3) 20202110110
quaternary (4) 200132112
quinary (5) 13224024
senary (6) 2503450
septenary (7) 1062540
nonary (9) 222413
undecimal (11) 90a32
duodecimal (12) 64b86
tridecimal (13) 4870b
tetradecimal (14) 36690
pentadecimal (15) 29629

As an angle

133,014° = 369 × 360° + 174°
174° ≈ 3.037 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγιδʹ
Mayan (base 20)
𝋰·𝋬·𝋪·𝋮
Chinese
一十三萬三千零一十四
Chinese (financial)
壹拾參萬參仟零壹拾肆
In other modern scripts
Eastern Arabic ١٣٣٠١٤ Devanagari १३३०१४ Bengali ১৩৩০১৪ Tamil ௧௩௩௦௧௪ Thai ๑๓๓๐๑๔ Tibetan ༡༣༣༠༡༤ Khmer ១៣៣០១៤ Lao ໑໓໓໐໑໔ Burmese ၁၃၃၀၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133014, here are decompositions:

  • 43 + 132971 = 133014
  • 47 + 132967 = 133014
  • 53 + 132961 = 133014
  • 61 + 132953 = 133014
  • 67 + 132947 = 133014
  • 103 + 132911 = 133014
  • 127 + 132887 = 133014
  • 151 + 132863 = 133014

Showing the first eight; more decompositions exist.

Unicode codepoint
𠞖
CJK Unified Ideograph-20796
U+20796
Other letter (Lo)

UTF-8 encoding: F0 A0 9E 96 (4 bytes).

Hex color
#020796
RGB(2, 7, 150)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.150.

Address
0.2.7.150
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.150

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 133,014 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 133014 first appears in π at position 767,028 of the decimal expansion (the 767,028ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.