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134,144

134,144 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.).

134,144 (one hundred thirty-four thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 22 divisors, and factors as 2¹⁰ × 131. Its proper divisors sum to 136,060, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20C00.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
192
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
441,431
Square (n²)
17,994,612,736
Cube (n³)
2,413,869,330,857,984
Divisor count
22
σ(n) — sum of divisors
270,204
φ(n) — Euler's totient
66,560
Sum of prime factors
151

Primality

Prime factorization: 2 10 × 131

Nearest primes: 134,129 (−15) · 134,153 (+9)

Divisors & multiples

All divisors (22)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 131 · 256 · 262 · 512 · 524 · 1024 · 1048 · 2096 · 4192 · 8384 · 16768 · 33536 · 67072 (half) · 134144
Aliquot sum (sum of proper divisors): 136,060
Factor pairs (a × b = 134,144)
1 × 134144
2 × 67072
4 × 33536
8 × 16768
16 × 8384
32 × 4192
64 × 2096
128 × 1048
131 × 1024
256 × 524
262 × 512
First multiples
134,144 · 268,288 (double) · 402,432 · 536,576 · 670,720 · 804,864 · 939,008 · 1,073,152 · 1,207,296 · 1,341,440

Sums & aliquot sequence

As consecutive integers: 959 + 960 + … + 1,089
Aliquot sequence: 134,144 136,060 149,708 132,532 113,168 126,400 188,560 250,028 187,528 196,232 191,368 186,632 172,468 129,358 64,682 32,344 33,176 — unresolved within range

Continued fraction of √n

√134,144 = [366; (3, 1, 8, 1, 1, 10, 1, 2, 1, 7, 2, 17, 2, 1, 1, 10, 1, 5, 1, 1, 3, 7, 23, 2, …)]

Representations

In words
one hundred thirty-four thousand one hundred forty-four
Ordinal
134144th
Binary
100000110000000000
Octal
406000
Hexadecimal
0x20C00
Base64
AgwA
One's complement
4,294,833,151 (32-bit)
Scientific notation
1.34144 × 10⁵
As a duration
134,144 s = 1 day, 13 hours, 15 minutes, 44 seconds
In other bases
ternary (3) 20211000022
quaternary (4) 200300000
quinary (5) 13243034
senary (6) 2513012
septenary (7) 1066043
nonary (9) 224008
undecimal (11) 9186a
duodecimal (12) 65768
tridecimal (13) 4909a
tetradecimal (14) 36c5a
pentadecimal (15) 29b2e

As an angle

134,144° = 372 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδρμδʹ
Mayan (base 20)
𝋰·𝋯·𝋧·𝋤
Chinese
一十三萬四千一百四十四
Chinese (financial)
壹拾參萬肆仟壹佰肆拾肆
In other modern scripts
Eastern Arabic ١٣٤١٤٤ Devanagari १३४१४४ Bengali ১৩৪১৪৪ Tamil ௧௩௪௧௪௪ Thai ๑๓๔๑๔๔ Tibetan ༡༣༤༡༤༤ Khmer ១៣៤១៤៤ Lao ໑໓໔໑໔໔ Burmese ၁၃၄၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134144, here are decompositions:

  • 67 + 134077 = 134144
  • 97 + 134047 = 134144
  • 151 + 133993 = 134144
  • 163 + 133981 = 134144
  • 181 + 133963 = 134144
  • 271 + 133873 = 134144
  • 313 + 133831 = 134144
  • 331 + 133813 = 134144

Showing the first eight; more decompositions exist.

Unicode codepoint
𠰀
CJK Unified Ideograph-20C00
U+20C00
Other letter (Lo)

UTF-8 encoding: F0 A0 B0 80 (4 bytes).

Hex color
#020C00
RGB(2, 12, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.12.0.

Address
0.2.12.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.12.0

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 134,144 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 134144 first appears in π at position 201,426 of the decimal expansion (the 201,426ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.