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135,044

135,044 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.).

135,044 (one hundred thirty-five thousand forty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 7² × 13 × 53. Its proper divisors sum to 166,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20F84.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
440,531
Recamán's sequence
a(36,320) = 135,044
Square (n²)
18,236,881,936
Cube (n³)
2,462,781,484,165,184
Divisor count
36
σ(n) — sum of divisors
301,644
φ(n) — Euler's totient
52,416
Sum of prime factors
84

Primality

Prime factorization: 2 2 × 7 2 × 13 × 53

Nearest primes: 135,043 (−1) · 135,049 (+5)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 7 · 13 · 14 · 26 · 28 · 49 · 52 · 53 · 91 · 98 · 106 · 182 · 196 · 212 · 364 · 371 · 637 · 689 · 742 · 1274 · 1378 · 1484 · 2548 · 2597 · 2756 · 4823 · 5194 · 9646 · 10388 · 19292 · 33761 · 67522 (half) · 135044
Aliquot sum (sum of proper divisors): 166,600
Factor pairs (a × b = 135,044)
1 × 135044
2 × 67522
4 × 33761
7 × 19292
13 × 10388
14 × 9646
26 × 5194
28 × 4823
49 × 2756
52 × 2597
53 × 2548
91 × 1484
98 × 1378
106 × 1274
182 × 742
196 × 689
212 × 637
364 × 371
First multiples
135,044 · 270,088 (double) · 405,132 · 540,176 · 675,220 · 810,264 · 945,308 · 1,080,352 · 1,215,396 · 1,350,440

Sums & aliquot sequence

As a sum of two squares: 112² + 350² = 238² + 280²
As consecutive integers: 19,289 + 19,290 + … + 19,295 16,877 + 16,878 + … + 16,884 10,382 + 10,383 + … + 10,394 2,732 + 2,733 + … + 2,780
Aliquot sequence: 135,044 166,600 310,490 258,670 206,954 147,286 73,646 41,698 20,852 18,544 19,896 29,904 59,376 94,136 112,624 105,616 144,368 — unresolved within range

Continued fraction of √n

√135,044 = [367; (2, 14, 2, 734)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand forty-four
Ordinal
135044th
Binary
100000111110000100
Octal
407604
Hexadecimal
0x20F84
Base64
Ag+E
One's complement
4,294,832,251 (32-bit)
Scientific notation
1.35044 × 10⁵
As a duration
135,044 s = 1 day, 13 hours, 30 minutes, 44 seconds
In other bases
ternary (3) 20212020122
quaternary (4) 200332010
quinary (5) 13310134
senary (6) 2521112
septenary (7) 1101500
nonary (9) 225218
undecimal (11) 92508
duodecimal (12) 66198
tridecimal (13) 49610
tetradecimal (14) 37300
pentadecimal (15) 2a02e

As an angle

135,044° = 375 × 360° + 44°
44° ≈ 0.768 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεμδʹ
Mayan (base 20)
𝋰·𝋱·𝋬·𝋤
Chinese
一十三萬五千零四十四
Chinese (financial)
壹拾參萬伍仟零肆拾肆
In other modern scripts
Eastern Arabic ١٣٥٠٤٤ Devanagari १३५०४४ Bengali ১৩৫০৪৪ Tamil ௧௩௫௦௪௪ Thai ๑๓๕๐๔๔ Tibetan ༡༣༥༠༤༤ Khmer ១៣៥០៤៤ Lao ໑໓໕໐໔໔ Burmese ၁၃၅၀၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135044, here are decompositions:

  • 37 + 135007 = 135044
  • 97 + 134947 = 135044
  • 127 + 134917 = 135044
  • 157 + 134887 = 135044
  • 193 + 134851 = 135044
  • 313 + 134731 = 135044
  • 337 + 134707 = 135044
  • 367 + 134677 = 135044

Showing the first eight; more decompositions exist.

Unicode codepoint
𠾄
CJK Unified Ideograph-20F84
U+20F84
Other letter (Lo)

UTF-8 encoding: F0 A0 BE 84 (4 bytes).

Hex color
#020F84
RGB(2, 15, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.132.

Address
0.2.15.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.132

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 135,044 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

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