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134,288

134,288 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.).

134,288 (one hundred thirty-four thousand two hundred eighty-eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 11 × 109. Its proper divisors sum to 193,072, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20C90.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,536
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
882,431
Square (n²)
18,033,266,944
Cube (n³)
2,421,651,351,375,872
Divisor count
40
σ(n) — sum of divisors
327,360
φ(n) — Euler's totient
51,840
Sum of prime factors
135

Primality

Prime factorization: 2 4 × 7 × 11 × 109

Nearest primes: 134,287 (−1) · 134,291 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 7 · 8 · 11 · 14 · 16 · 22 · 28 · 44 · 56 · 77 · 88 · 109 · 112 · 154 · 176 · 218 · 308 · 436 · 616 · 763 · 872 · 1199 · 1232 · 1526 · 1744 · 2398 · 3052 · 4796 · 6104 · 8393 · 9592 · 12208 · 16786 · 19184 · 33572 · 67144 (half) · 134288
Aliquot sum (sum of proper divisors): 193,072
Factor pairs (a × b = 134,288)
1 × 134288
2 × 67144
4 × 33572
7 × 19184
8 × 16786
11 × 12208
14 × 9592
16 × 8393
22 × 6104
28 × 4796
44 × 3052
56 × 2398
77 × 1744
88 × 1526
109 × 1232
112 × 1199
154 × 872
176 × 763
218 × 616
308 × 436
First multiples
134,288 · 268,576 (double) · 402,864 · 537,152 · 671,440 · 805,728 · 940,016 · 1,074,304 · 1,208,592 · 1,342,880

Sums & aliquot sequence

As consecutive integers: 19,181 + 19,182 + … + 19,187 12,203 + 12,204 + … + 12,213 4,181 + 4,182 + … + 4,212 1,706 + 1,707 + … + 1,782
Aliquot sequence: 134,288 193,072 215,384 246,616 232,184 203,176 182,924 193,396 193,452 344,148 631,596 1,092,308 1,131,718 822,362 444,634 222,320 369,904 — unresolved within range

Continued fraction of √n

√134,288 = [366; (2, 4, 1, 5, 1, 2, 104, 2, 1, 5, 1, 4, 2, 732)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand two hundred eighty-eight
Ordinal
134288th
Binary
100000110010010000
Octal
406220
Hexadecimal
0x20C90
Base64
AgyQ
One's complement
4,294,833,007 (32-bit)
Scientific notation
1.34288 × 10⁵
As a duration
134,288 s = 1 day, 13 hours, 18 minutes, 8 seconds
In other bases
ternary (3) 20211012122
quaternary (4) 200302100
quinary (5) 13244123
senary (6) 2513412
septenary (7) 1066340
nonary (9) 224178
undecimal (11) 91990
duodecimal (12) 65868
tridecimal (13) 4917b
tetradecimal (14) 36d20
pentadecimal (15) 29bc8

As an angle

134,288° = 373 × 360° + 8°
8° ≈ 0.14 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδσπηʹ
Mayan (base 20)
𝋰·𝋯·𝋮·𝋨
Chinese
一十三萬四千二百八十八
Chinese (financial)
壹拾參萬肆仟貳佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٤٢٨٨ Devanagari १३४२८८ Bengali ১৩৪২৮৮ Tamil ௧௩௪௨௮௮ Thai ๑๓๔๒๘๘ Tibetan ༡༣༤༢༨༨ Khmer ១៣៤២៨៨ Lao ໑໓໔໒໘໘ Burmese ၁၃၄၂၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134288, here are decompositions:

  • 19 + 134269 = 134288
  • 31 + 134257 = 134288
  • 61 + 134227 = 134288
  • 97 + 134191 = 134288
  • 127 + 134161 = 134288
  • 199 + 134089 = 134288
  • 211 + 134077 = 134288
  • 229 + 134059 = 134288

Showing the first eight; more decompositions exist.

Unicode codepoint
𠲐
CJK Unified Ideograph-20C90
U+20C90
Other letter (Lo)

UTF-8 encoding: F0 A0 B2 90 (4 bytes).

Hex color
#020C90
RGB(2, 12, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.12.144.

Address
0.2.12.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.12.144

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 134,288 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 134288 first appears in π at position 552,755 of the decimal expansion (the 552,755ordinal-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.