Live analysis

132,138

132,138 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.).

132,138 (one hundred thirty-two thousand one hundred thirty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 2,447. Its proper divisors sum to 161,622, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2042A.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

132,126 132,127 132,128 132,129 132,130 132,131 132,132 132,133 132,134 132,135 132,136 132,137 132,138 132,139 132,140 132,141 132,142 132,143 132,144 132,145 132,146 132,147 132,148 132,149 132,150

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 144
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 831,231
Recamán's sequence: a(228,096) = 132,138
Square (n²): 17,460,451,044
Cube (n³): 2,307,189,080,052,072
Divisor count: 16
σ(n) — sum of divisors: 293,760
φ(n) — Euler's totient: 44,028
Sum of prime factors: 2,458

Primality

Prime factorization: 2 × 3 ³ × 2447

Nearest primes: 132,137 (−1) · 132,151 (+13)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 2447 · 4894 · 7341 · 14682 · 22023 · 44046 · 66069 (half) · 132138

Aliquot sum (sum of proper divisors): 161,622

Factor pairs (a × b = 132,138)

1 × 132138

2 × 66069

3 × 44046

6 × 22023

9 × 14682

18 × 7341

27 × 4894

54 × 2447

First multiples

132,138 · 264,276 (double) · 396,414 · 528,552 · 660,690 · 792,828 · 924,966 · 1,057,104 · 1,189,242 · 1,321,380

Sums & aliquot sequence

As consecutive integers: 44,045 + 44,046 + 44,047 33,033 + 33,034 + 33,035 + 33,036 14,678 + 14,679 + … + 14,686 11,006 + 11,007 + … + 11,017

Aliquot sequence: 132,138 → 161,622 → 211,338 → 256,662 → 413,658 → 647,142 → 647,154 → 770,106 → 770,118 → 812,202 → 812,214 → 1,164,186 → 1,423,014 → 1,428,870 → 2,000,490 → 2,800,758 → 2,817,402 — unresolved within range

Continued fraction of √n

√132,138 = [363; (1, 1, 31, 9, 5, 1, 5, 1, 1, 2, 15, 13, 2, 1, 1, 22, 1, 5, 1, 9, 9, 1, 2, 1, …)]

Representations

In words: one hundred thirty-two thousand one hundred thirty-eight
Ordinal: 132138th
Binary: 100000010000101010
Octal: 402052
Hexadecimal: 0x2042A
Base64: AgQq
One's complement: 4,294,835,157 (32-bit)
Scientific notation: 1.32138 × 10⁵
As a duration: 132,138 s = 1 day, 12 hours, 42 minutes, 18 seconds

In other bases

ternary (3) 20201021000

quaternary (4) 200100222

quinary (5) 13212023

senary (6) 2455430

septenary (7) 1060146

nonary (9) 221230

undecimal (11) 90306

duodecimal (12) 64576

tridecimal (13) 481b6

tetradecimal (14) 36226

pentadecimal (15) 29243

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλβρληʹ
Mayan (base 20): 𝋰·𝋪·𝋦·𝋲
Chinese: 一十三萬二千一百三十八
Chinese (financial): 壹拾參萬貳仟壹佰參拾捌

In other modern scripts

Eastern Arabic ١٣٢١٣٨ Devanagari १३२१३८ Bengali ১৩২১৩৮ Tamil ௧௩௨௧௩௮ Thai ๑๓๒๑๓๘ Tibetan ༡༣༢༡༣༨ Khmer ១៣២១៣៨ Lao ໑໓໒໑໓໘ Burmese ၁၃၂၁၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132138, here are decompositions:

29 + 132109 = 132138
67 + 132071 = 132138
79 + 132059 = 132138
89 + 132049 = 132138
137 + 132001 = 132138
179 + 131959 = 132138
191 + 131947 = 132138
197 + 131941 = 132138

Showing the first eight; more decompositions exist.

Unicode codepoint

𠐪

CJK Unified Ideograph-2042A

U+2042A

Other letter (Lo)

UTF-8 encoding: F0 A0 90 AA (4 bytes).

Lookup U+2042A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02042A

RGB(2, 4, 42)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.42.

Address: 0.2.4.42
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.4.42

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 132,138 and was likely granted around 1872.

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

Look up US132,138 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 132138 first appears in π at position 751,373 of the decimal expansion (the 751,373ordinal-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.

Look up 132138 on Pi Search ↗