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132,444

132,444 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.).

132,444 (one hundred thirty-two thousand four hundred forty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 13 × 283. Its proper divisors sum to 229,372, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2055C.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
384
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
444,231
Square (n²)
17,541,413,136
Cube (n³)
2,323,254,921,384,384
Divisor count
36
σ(n) — sum of divisors
361,816
φ(n) — Euler's totient
40,608
Sum of prime factors
306

Primality

Prime factorization: 2 2 × 3 2 × 13 × 283

Nearest primes: 132,439 (−5) · 132,469 (+25)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 26 · 36 · 39 · 52 · 78 · 117 · 156 · 234 · 283 · 468 · 566 · 849 · 1132 · 1698 · 2547 · 3396 · 3679 · 5094 · 7358 · 10188 · 11037 · 14716 · 22074 · 33111 · 44148 · 66222 (half) · 132444
Aliquot sum (sum of proper divisors): 229,372
Factor pairs (a × b = 132,444)
1 × 132444
2 × 66222
3 × 44148
4 × 33111
6 × 22074
9 × 14716
12 × 11037
13 × 10188
18 × 7358
26 × 5094
36 × 3679
39 × 3396
52 × 2547
78 × 1698
117 × 1132
156 × 849
234 × 566
283 × 468
First multiples
132,444 · 264,888 (double) · 397,332 · 529,776 · 662,220 · 794,664 · 927,108 · 1,059,552 · 1,191,996 · 1,324,440

Sums & aliquot sequence

As consecutive integers: 44,147 + 44,148 + 44,149 16,552 + 16,553 + … + 16,559 14,712 + 14,713 + … + 14,720 10,182 + 10,183 + … + 10,194
Aliquot sequence: 132,444 229,372 243,380 281,452 240,188 230,212 179,148 238,892 179,176 156,794 99,814 76,586 39,514 22,406 13,234 8,186 4,096 — unresolved within range

Continued fraction of √n

√132,444 = [363; (1, 12, 1, 726)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand four hundred forty-four
Ordinal
132444th
Binary
100000010101011100
Octal
402534
Hexadecimal
0x2055C
Base64
AgVc
One's complement
4,294,834,851 (32-bit)
Scientific notation
1.32444 × 10⁵
As a duration
132,444 s = 1 day, 12 hours, 47 minutes, 24 seconds
In other bases
ternary (3) 20201200100
quaternary (4) 200111130
quinary (5) 13214234
senary (6) 2501100
septenary (7) 1061064
nonary (9) 221610
undecimal (11) 90564
duodecimal (12) 64790
tridecimal (13) 48390
tetradecimal (14) 363a4
pentadecimal (15) 29399

As an angle

132,444° = 367 × 360° + 324°
324° ≈ 5.655 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβυμδʹ
Mayan (base 20)
𝋰·𝋫·𝋢·𝋤
Chinese
一十三萬二千四百四十四
Chinese (financial)
壹拾參萬貳仟肆佰肆拾肆
In other modern scripts
Eastern Arabic ١٣٢٤٤٤ Devanagari १३२४४४ Bengali ১৩২৪৪৪ Tamil ௧௩௨௪௪௪ Thai ๑๓๒๔๔๔ Tibetan ༡༣༢༤༤༤ Khmer ១៣២៤៤៤ Lao ໑໓໒໔໔໔ Burmese ၁၃၂၄၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132444, here are decompositions:

  • 5 + 132439 = 132444
  • 7 + 132437 = 132444
  • 23 + 132421 = 132444
  • 41 + 132403 = 132444
  • 61 + 132383 = 132444
  • 73 + 132371 = 132444
  • 83 + 132361 = 132444
  • 97 + 132347 = 132444

Showing the first eight; more decompositions exist.

Unicode codepoint
𠕜
CJK Unified Ideograph-2055C
U+2055C
Other letter (Lo)

UTF-8 encoding: F0 A0 95 9C (4 bytes).

Hex color
#02055C
RGB(2, 5, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.92.

Address
0.2.5.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.92

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 132,444 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°.