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138,012

138,012 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.).

138,012 (one hundred thirty-eight thousand twelve) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 31 × 53. Its proper divisors sum to 249,060, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B1C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Practical Number Pronic / Oblong Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
210,831
Recamán's sequence
a(492,803) = 138,012
Square (n²)
19,047,312,144
Cube (n³)
2,628,757,643,617,728
Divisor count
48
σ(n) — sum of divisors
387,072
φ(n) — Euler's totient
37,440
Sum of prime factors
98

Primality

Prime factorization: 2 2 × 3 × 7 × 31 × 53

Nearest primes: 138,007 (−5) · 138,041 (+29)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 31 · 42 · 53 · 62 · 84 · 93 · 106 · 124 · 159 · 186 · 212 · 217 · 318 · 371 · 372 · 434 · 636 · 651 · 742 · 868 · 1113 · 1302 · 1484 · 1643 · 2226 · 2604 · 3286 · 4452 · 4929 · 6572 · 9858 · 11501 · 19716 · 23002 · 34503 · 46004 · 69006 (half) · 138012
Aliquot sum (sum of proper divisors): 249,060
Factor pairs (a × b = 138,012)
1 × 138012
2 × 69006
3 × 46004
4 × 34503
6 × 23002
7 × 19716
12 × 11501
14 × 9858
21 × 6572
28 × 4929
31 × 4452
42 × 3286
53 × 2604
62 × 2226
84 × 1643
93 × 1484
106 × 1302
124 × 1113
159 × 868
186 × 742
212 × 651
217 × 636
318 × 434
371 × 372
First multiples
138,012 · 276,024 (double) · 414,036 · 552,048 · 690,060 · 828,072 · 966,084 · 1,104,096 · 1,242,108 · 1,380,120

Sums & aliquot sequence

As consecutive integers: 46,003 + 46,004 + 46,005 19,713 + 19,714 + … + 19,719 17,248 + 17,249 + … + 17,255 6,562 + 6,563 + … + 6,582
Aliquot sequence: 138,012 249,060 549,276 1,031,268 1,719,004 1,890,420 4,276,524 7,371,476 7,371,532 7,371,588 12,469,436 12,547,780 17,567,228 17,656,324 17,656,380 46,244,772 87,351,964 — unresolved within range

Continued fraction of √n

√138,012 = [371; (2, 742)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand twelve
Ordinal
138012th
Binary
100001101100011100
Octal
415434
Hexadecimal
0x21B1C
Base64
Ahsc
One's complement
4,294,829,283 (32-bit)
Scientific notation
1.38012 × 10⁵
As a duration
138,012 s = 1 day, 14 hours, 20 minutes, 12 seconds
In other bases
ternary (3) 21000022120
quaternary (4) 201230130
quinary (5) 13404022
senary (6) 2542540
septenary (7) 1113240
nonary (9) 230276
undecimal (11) 94766
duodecimal (12) 67a50
tridecimal (13) 4aa84
tetradecimal (14) 38420
pentadecimal (15) 2ad5c

As an angle

138,012° = 383 × 360° + 132°
132° ≈ 2.304 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺
Greek (Milesian)
͵ρληιβʹ
Mayan (base 20)
𝋱·𝋥·𝋠·𝋬
Chinese
一十三萬八千零一十二
Chinese (financial)
壹拾參萬捌仟零壹拾貳
In other modern scripts
Eastern Arabic ١٣٨٠١٢ Devanagari १३८०१२ Bengali ১৩৮০১২ Tamil ௧௩௮௦௧௨ Thai ๑๓๘๐๑๒ Tibetan ༡༣༨༠༡༢ Khmer ១៣៨០១២ Lao ໑໓໘໐໑໒ Burmese ၁၃၈၀၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138012, here are decompositions:

  • 5 + 138007 = 138012
  • 13 + 137999 = 138012
  • 19 + 137993 = 138012
  • 29 + 137983 = 138012
  • 71 + 137941 = 138012
  • 79 + 137933 = 138012
  • 101 + 137911 = 138012
  • 103 + 137909 = 138012

Showing the first eight; more decompositions exist.

Unicode codepoint
𡬜
CJK Unified Ideograph-21B1C
U+21B1C
Other letter (Lo)

UTF-8 encoding: F0 A1 AC 9C (4 bytes).

Hex color
#021B1C
RGB(2, 27, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.28.

Address
0.2.27.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.28

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 138,012 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°.