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134,048

134,048 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.).

134,048 (one hundred thirty-four thousand forty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 59 × 71. Its proper divisors sum to 138,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20BA0.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
840,431
Square (n²)
17,968,866,304
Cube (n³)
2,408,690,590,318,592
Divisor count
24
σ(n) — sum of divisors
272,160
φ(n) — Euler's totient
64,960
Sum of prime factors
140

Primality

Prime factorization: 2 5 × 59 × 71

Nearest primes: 134,047 (−1) · 134,053 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 59 · 71 · 118 · 142 · 236 · 284 · 472 · 568 · 944 · 1136 · 1888 · 2272 · 4189 · 8378 · 16756 · 33512 · 67024 (half) · 134048
Aliquot sum (sum of proper divisors): 138,112
Factor pairs (a × b = 134,048)
1 × 134048
2 × 67024
4 × 33512
8 × 16756
16 × 8378
32 × 4189
59 × 2272
71 × 1888
118 × 1136
142 × 944
236 × 568
284 × 472
First multiples
134,048 · 268,096 (double) · 402,144 · 536,192 · 670,240 · 804,288 · 938,336 · 1,072,384 · 1,206,432 · 1,340,480

Sums & aliquot sequence

As consecutive integers: 2,243 + 2,244 + … + 2,301 2,063 + 2,064 + … + 2,126 1,853 + 1,854 + … + 1,923
Aliquot sequence: 134,048 138,112 161,768 146,812 128,260 173,384 151,726 78,314 39,160 58,040 72,640 101,096 88,474 48,614 25,306 12,656 15,616 — unresolved within range

Continued fraction of √n

√134,048 = [366; (7, 1, 22, 1, 2, 1, 14, 1, 4, 1, 31, 183, 31, 1, 4, 1, 14, 1, 2, 1, 22, 1, 7, 732)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand forty-eight
Ordinal
134048th
Binary
100000101110100000
Octal
405640
Hexadecimal
0x20BA0
Base64
Agug
One's complement
4,294,833,247 (32-bit)
Scientific notation
1.34048 × 10⁵
As a duration
134,048 s = 1 day, 13 hours, 14 minutes, 8 seconds
In other bases
ternary (3) 20210212202
quaternary (4) 200232200
quinary (5) 13242143
senary (6) 2512332
septenary (7) 1065545
nonary (9) 223782
undecimal (11) 91792
duodecimal (12) 656a8
tridecimal (13) 49025
tetradecimal (14) 36bcc
pentadecimal (15) 29ab8

As an angle

134,048° = 372 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδμηʹ
Mayan (base 20)
𝋰·𝋯·𝋢·𝋨
Chinese
一十三萬四千零四十八
Chinese (financial)
壹拾參萬肆仟零肆拾捌
In other modern scripts
Eastern Arabic ١٣٤٠٤٨ Devanagari १३४०४८ Bengali ১৩৪০৪৮ Tamil ௧௩௪௦௪௮ Thai ๑๓๔๐๔๘ Tibetan ༡༣༤༠༤༨ Khmer ១៣៤០៤៨ Lao ໑໓໔໐໔໘ Burmese ၁၃၄၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134048, here are decompositions:

  • 67 + 133981 = 134048
  • 331 + 133717 = 134048
  • 337 + 133711 = 134048
  • 379 + 133669 = 134048
  • 601 + 133447 = 134048
  • 631 + 133417 = 134048
  • 661 + 133387 = 134048
  • 727 + 133321 = 134048

Showing the first eight; more decompositions exist.

Unicode codepoint
𠮠
CJK Unified Ideograph-20Ba0
U+20BA0
Other letter (Lo)

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

Hex color
#020BA0
RGB(2, 11, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.160.

Address
0.2.11.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.160

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 134,048 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 134048 first appears in π at position 264,003 of the decimal expansion (the 264,003ordinal-suffix:rd 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.