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135,042

135,042 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.).

135,042 (one hundred thirty-five thousand forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 71 × 317. Its proper divisors sum to 139,710, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20F82.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
240,531
Recamán's sequence
a(36,316) = 135,042
Square (n²)
18,236,341,764
Cube (n³)
2,462,672,064,494,088
Divisor count
16
σ(n) — sum of divisors
274,752
φ(n) — Euler's totient
44,240
Sum of prime factors
393

Primality

Prime factorization: 2 × 3 × 71 × 317

Nearest primes: 135,029 (−13) · 135,043 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 71 · 142 · 213 · 317 · 426 · 634 · 951 · 1902 · 22507 · 45014 · 67521 (half) · 135042
Aliquot sum (sum of proper divisors): 139,710
Factor pairs (a × b = 135,042)
1 × 135042
2 × 67521
3 × 45014
6 × 22507
71 × 1902
142 × 951
213 × 634
317 × 426
First multiples
135,042 · 270,084 (double) · 405,126 · 540,168 · 675,210 · 810,252 · 945,294 · 1,080,336 · 1,215,378 · 1,350,420

Sums & aliquot sequence

As consecutive integers: 45,013 + 45,014 + 45,015 33,759 + 33,760 + 33,761 + 33,762 11,248 + 11,249 + … + 11,259 1,867 + 1,868 + … + 1,937
Aliquot sequence: 135,042 139,710 195,666 195,678 289,170 654,318 1,024,194 1,036,446 1,036,458 1,243,638 1,723,326 2,036,802 2,036,814 2,350,338 2,704,062 2,704,074 2,726,934 — unresolved within range

Continued fraction of √n

√135,042 = [367; (2, 12, 2, 1, 1, 6, 1, 1, 5, 1, 31, 9, 3, 1, 2, 9, 1, 2, 2, 1, 1, 4, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand forty-two
Ordinal
135042nd
Binary
100000111110000010
Octal
407602
Hexadecimal
0x20F82
Base64
Ag+C
One's complement
4,294,832,253 (32-bit)
Scientific notation
1.35042 × 10⁵
As a duration
135,042 s = 1 day, 13 hours, 30 minutes, 42 seconds
In other bases
ternary (3) 20212020120
quaternary (4) 200332002
quinary (5) 13310132
senary (6) 2521110
septenary (7) 1101465
nonary (9) 225216
undecimal (11) 92506
duodecimal (12) 66196
tridecimal (13) 4960b
tetradecimal (14) 372dc
pentadecimal (15) 2a02c

As an angle

135,042° = 375 × 360° + 42°
42° ≈ 0.733 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλεμβʹ
Mayan (base 20)
𝋰·𝋱·𝋬·𝋢
Chinese
一十三萬五千零四十二
Chinese (financial)
壹拾參萬伍仟零肆拾貳
In other modern scripts
Eastern Arabic ١٣٥٠٤٢ Devanagari १३५०४२ Bengali ১৩৫০৪২ Tamil ௧௩௫௦௪௨ Thai ๑๓๕๐๔๒ Tibetan ༡༣༥༠༤༢ Khmer ១៣៥០៤២ Lao ໑໓໕໐໔໒ Burmese ၁၃၅၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135042, here are decompositions:

  • 13 + 135029 = 135042
  • 23 + 135019 = 135042
  • 43 + 134999 = 135042
  • 53 + 134989 = 135042
  • 191 + 134851 = 135042
  • 311 + 134731 = 135042
  • 359 + 134683 = 135042
  • 373 + 134669 = 135042

Showing the first eight; more decompositions exist.

Unicode codepoint
𠾂
CJK Unified Ideograph-20F82
U+20F82
Other letter (Lo)

UTF-8 encoding: F0 A0 BE 82 (4 bytes).

Hex color
#020F82
RGB(2, 15, 130)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.130.

Address
0.2.15.130
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.130

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 135,042 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.