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132,042

132,042 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.).

132,042 (one hundred thirty-two thousand forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 59 × 373. Its proper divisors sum to 137,238, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x203CA.

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
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
240,231
Recamán's sequence
a(228,288) = 132,042
Square (n²)
17,435,089,764
Cube (n³)
2,302,164,122,618,088
Divisor count
16
σ(n) — sum of divisors
269,280
φ(n) — Euler's totient
43,152
Sum of prime factors
437

Primality

Prime factorization: 2 × 3 × 59 × 373

Nearest primes: 132,019 (−23) · 132,047 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 59 · 118 · 177 · 354 · 373 · 746 · 1119 · 2238 · 22007 · 44014 · 66021 (half) · 132042
Aliquot sum (sum of proper divisors): 137,238
Factor pairs (a × b = 132,042)
1 × 132042
2 × 66021
3 × 44014
6 × 22007
59 × 2238
118 × 1119
177 × 746
354 × 373
First multiples
132,042 · 264,084 (double) · 396,126 · 528,168 · 660,210 · 792,252 · 924,294 · 1,056,336 · 1,188,378 · 1,320,420

Sums & aliquot sequence

As consecutive integers: 44,013 + 44,014 + 44,015 33,009 + 33,010 + 33,011 + 33,012 10,998 + 10,999 + … + 11,009 2,209 + 2,210 + … + 2,267
Aliquot sequence: 132,042 137,238 141,402 141,414 222,474 286,134 292,938 292,950 659,370 976,470 1,609,050 2,622,822 2,622,834 3,205,806 3,205,818 5,784,966 8,240,634 — unresolved within range

Continued fraction of √n

√132,042 = [363; (2, 1, 1, 1, 18, 103, 1, 3, 3, 4, 2, 2, 3, 14, 1, 1, 6, 32, 1, 7, 2, 1, 1, 1, …)]

Representations

In words
one hundred thirty-two thousand forty-two
Ordinal
132042nd
Binary
100000001111001010
Octal
401712
Hexadecimal
0x203CA
Base64
AgPK
One's complement
4,294,835,253 (32-bit)
Scientific notation
1.32042 × 10⁵
As a duration
132,042 s = 1 day, 12 hours, 40 minutes, 42 seconds
In other bases
ternary (3) 20201010110
quaternary (4) 200033022
quinary (5) 13211132
senary (6) 2455150
septenary (7) 1056651
nonary (9) 221113
undecimal (11) 90229
duodecimal (12) 644b6
tridecimal (13) 48141
tetradecimal (14) 36198
pentadecimal (15) 291cc

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλβμβʹ
Mayan (base 20)
𝋰·𝋪·𝋢·𝋢
Chinese
一十三萬二千零四十二
Chinese (financial)
壹拾參萬貳仟零肆拾貳
In other modern scripts
Eastern Arabic ١٣٢٠٤٢ Devanagari १३२०४२ Bengali ১৩২০৪২ Tamil ௧௩௨௦௪௨ Thai ๑๓๒๐๔๒ Tibetan ༡༣༢༠༤༢ Khmer ១៣២០៤២ Lao ໑໓໒໐໔໒ Burmese ၁၃၂၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132042, here are decompositions:

  • 23 + 132019 = 132042
  • 41 + 132001 = 132042
  • 73 + 131969 = 132042
  • 83 + 131959 = 132042
  • 101 + 131941 = 132042
  • 103 + 131939 = 132042
  • 109 + 131933 = 132042
  • 149 + 131893 = 132042

Showing the first eight; more decompositions exist.

Unicode codepoint
𠏊
CJK Unified Ideograph-203Ca
U+203CA
Other letter (Lo)

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

Hex color
#0203CA
RGB(2, 3, 202)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.202.

Address
0.2.3.202
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.202

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 132,042 and was likely granted around 1872.

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

Position in π

The digit sequence 132042 first appears in π at position 658,887 of the decimal expansion (the 658,887ordinal-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°.