number.wiki
Live analysis

134,112

134,112 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.).

134,112 (one hundred thirty-four thousand one hundred twelve) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 11 × 127. Its proper divisors sum to 252,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20BE0.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number Zuckerman Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
24
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
211,431
Square (n²)
17,986,028,544
Cube (n³)
2,412,142,260,092,928
Divisor count
48
σ(n) — sum of divisors
387,072
φ(n) — Euler's totient
40,320
Sum of prime factors
151

Primality

Prime factorization: 2 5 × 3 × 11 × 127

Nearest primes: 134,093 (−19) · 134,129 (+17)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 22 · 24 · 32 · 33 · 44 · 48 · 66 · 88 · 96 · 127 · 132 · 176 · 254 · 264 · 352 · 381 · 508 · 528 · 762 · 1016 · 1056 · 1397 · 1524 · 2032 · 2794 · 3048 · 4064 · 4191 · 5588 · 6096 · 8382 · 11176 · 12192 · 16764 · 22352 · 33528 · 44704 · 67056 (half) · 134112
Aliquot sum (sum of proper divisors): 252,960
Factor pairs (a × b = 134,112)
1 × 134112
2 × 67056
3 × 44704
4 × 33528
6 × 22352
8 × 16764
11 × 12192
12 × 11176
16 × 8382
22 × 6096
24 × 5588
32 × 4191
33 × 4064
44 × 3048
48 × 2794
66 × 2032
88 × 1524
96 × 1397
127 × 1056
132 × 1016
176 × 762
254 × 528
264 × 508
352 × 381
First multiples
134,112 · 268,224 (double) · 402,336 · 536,448 · 670,560 · 804,672 · 938,784 · 1,072,896 · 1,207,008 · 1,341,120

Sums & aliquot sequence

As consecutive integers: 44,703 + 44,704 + 44,705 12,187 + 12,188 + … + 12,197 4,048 + 4,049 + … + 4,080 2,064 + 2,065 + … + 2,127
Aliquot sequence: 134,112 252,960 617,952 1,054,320 2,374,032 3,759,008 4,496,512 4,461,638 2,230,822 1,538,522 769,264 721,216 741,824 760,840 1,027,640 1,387,240 1,780,760 — unresolved within range

Continued fraction of √n

√134,112 = [366; (4, 1, 2, 3, 1, 3, 1, 1, 3, 2, 3, 1, 18, 183, 18, 1, 3, 2, 3, 1, 1, 3, 1, 3, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand one hundred twelve
Ordinal
134112th
Binary
100000101111100000
Octal
405740
Hexadecimal
0x20BE0
Base64
Agvg
One's complement
4,294,833,183 (32-bit)
Scientific notation
1.34112 × 10⁵
As a duration
134,112 s = 1 day, 13 hours, 15 minutes, 12 seconds
In other bases
ternary (3) 20210222010
quaternary (4) 200233200
quinary (5) 13242422
senary (6) 2512520
septenary (7) 1065666
nonary (9) 223863
undecimal (11) 91840
duodecimal (12) 65740
tridecimal (13) 49074
tetradecimal (14) 36c36
pentadecimal (15) 29b0c

As an angle

134,112° = 372 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλδριβʹ
Mayan (base 20)
𝋰·𝋯·𝋥·𝋬
Chinese
一十三萬四千一百一十二
Chinese (financial)
壹拾參萬肆仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٤١١٢ Devanagari १३४११२ Bengali ১৩৪১১২ Tamil ௧௩௪௧௧௨ Thai ๑๓๔๑๑๒ Tibetan ༡༣༤༡༡༢ Khmer ១៣៤១១២ Lao ໑໓໔໑໑໒ Burmese ၁၃၄၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134112, here are decompositions:

  • 19 + 134093 = 134112
  • 23 + 134089 = 134112
  • 31 + 134081 = 134112
  • 53 + 134059 = 134112
  • 59 + 134053 = 134112
  • 73 + 134039 = 134112
  • 79 + 134033 = 134112
  • 113 + 133999 = 134112

Showing the first eight; more decompositions exist.

Unicode codepoint
𠯠
CJK Unified Ideograph-20Be0
U+20BE0
Other letter (Lo)

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

Hex color
#020BE0
RGB(2, 11, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.224.

Address
0.2.11.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.224

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 134,112 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 134112 first appears in π at position 11,187 of the decimal expansion (the 11,187ordinal-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°.