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138,112

138,112 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.).

138,112 (one hundred thirty-eight thousand one hundred twelve) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 13 × 83. Its proper divisors sum to 161,768, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B80.

Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
48
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
211,831
Recamán's sequence
a(492,603) = 138,112
Square (n²)
19,074,924,544
Cube (n³)
2,634,475,978,620,928
Divisor count
32
σ(n) — sum of divisors
299,880
φ(n) — Euler's totient
62,976
Sum of prime factors
110

Primality

Prime factorization: 2 7 × 13 × 83

Nearest primes: 138,107 (−5) · 138,113 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 64 · 83 · 104 · 128 · 166 · 208 · 332 · 416 · 664 · 832 · 1079 · 1328 · 1664 · 2158 · 2656 · 4316 · 5312 · 8632 · 10624 · 17264 · 34528 · 69056 (half) · 138112
Aliquot sum (sum of proper divisors): 161,768
Factor pairs (a × b = 138,112)
1 × 138112
2 × 69056
4 × 34528
8 × 17264
13 × 10624
16 × 8632
26 × 5312
32 × 4316
52 × 2656
64 × 2158
83 × 1664
104 × 1328
128 × 1079
166 × 832
208 × 664
332 × 416
First multiples
138,112 · 276,224 (double) · 414,336 · 552,448 · 690,560 · 828,672 · 966,784 · 1,104,896 · 1,243,008 · 1,381,120

Sums & aliquot sequence

As consecutive integers: 10,618 + 10,619 + … + 10,630 1,623 + 1,624 + … + 1,705 412 + 413 + … + 667
Aliquot sequence: 138,112 161,768 146,812 128,260 173,384 151,726 78,314 39,160 58,040 72,640 101,096 88,474 48,614 25,306 12,656 15,616 16,066 — unresolved within range

Continued fraction of √n

√138,112 = [371; (1, 1, 1, 2, 1, 3, 6, 1, 18, 5, 9, 4, 1, 2, 1, 81, 1, 5, 1, 1, 2, 3, 2, 10, …)]

Representations

In words
one hundred thirty-eight thousand one hundred twelve
Ordinal
138112th
Binary
100001101110000000
Octal
415600
Hexadecimal
0x21B80
Base64
AhuA
One's complement
4,294,829,183 (32-bit)
Scientific notation
1.38112 × 10⁵
As a duration
138,112 s = 1 day, 14 hours, 21 minutes, 52 seconds
In other bases
ternary (3) 21000110021
quaternary (4) 201232000
quinary (5) 13404422
senary (6) 2543224
septenary (7) 1113442
nonary (9) 230407
undecimal (11) 94847
duodecimal (12) 67b14
tridecimal (13) 4ab30
tetradecimal (14) 38492
pentadecimal (15) 2adc7

As an angle

138,112° = 383 × 360° + 232°
232° ≈ 4.049 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρληριβʹ
Mayan (base 20)
𝋱·𝋥·𝋥·𝋬
Chinese
一十三萬八千一百一十二
Chinese (financial)
壹拾參萬捌仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٨١١٢ Devanagari १३८११२ Bengali ১৩৮১১২ Tamil ௧௩௮௧௧௨ Thai ๑๓๘๑๑๒ Tibetan ༡༣༨༡༡༢ Khmer ១៣៨១១២ Lao ໑໓໘໑໑໒ Burmese ၁၃၈၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138112, here are decompositions:

  • 5 + 138107 = 138112
  • 11 + 138101 = 138112
  • 41 + 138071 = 138112
  • 53 + 138059 = 138112
  • 59 + 138053 = 138112
  • 71 + 138041 = 138112
  • 113 + 137999 = 138112
  • 179 + 137933 = 138112

Showing the first eight; more decompositions exist.

Unicode codepoint
𡮀
CJK Unified Ideograph-21B80
U+21B80
Other letter (Lo)

UTF-8 encoding: F0 A1 AE 80 (4 bytes).

Hex color
#021B80
RGB(2, 27, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.128.

Address
0.2.27.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.128

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 138,112 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