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138,440

138,440 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.).

138,440 (one hundred thirty-eight thousand four hundred forty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 3,461. Its proper divisors sum to 173,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21CC8.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
44,831
Recamán's sequence
a(491,947) = 138,440
Square (n²)
19,165,633,600
Cube (n³)
2,653,290,315,584,000
Divisor count
16
σ(n) — sum of divisors
311,580
φ(n) — Euler's totient
55,360
Sum of prime factors
3,472

Primality

Prime factorization: 2 3 × 5 × 3461

Nearest primes: 138,433 (−7) · 138,449 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 3461 · 6922 · 13844 · 17305 · 27688 · 34610 · 69220 (half) · 138440
Aliquot sum (sum of proper divisors): 173,140
Factor pairs (a × b = 138,440)
1 × 138440
2 × 69220
4 × 34610
5 × 27688
8 × 17305
10 × 13844
20 × 6922
40 × 3461
First multiples
138,440 · 276,880 (double) · 415,320 · 553,760 · 692,200 · 830,640 · 969,080 · 1,107,520 · 1,245,960 · 1,384,400

Sums & aliquot sequence

As a sum of two squares: 86² + 362² = 238² + 286²
As consecutive integers: 27,686 + 27,687 + 27,688 + 27,689 + 27,690 8,645 + 8,646 + … + 8,660 1,691 + 1,692 + … + 1,770
Aliquot sequence: 138,440 173,140 224,012 168,016 157,546 85,274 60,934 30,470 29,578 16,790 15,178 7,592 7,948 5,968 5,626 3,194 1,600 — unresolved within range

Continued fraction of √n

√138,440 = [372; (13, 3, 2, 14, 1, 3, 9, 6, 23, 1, 5, 3, 2, 1, 1, 4, 1, 7, 1, 1, 5, 1, 2, 1, …)]

Representations

In words
one hundred thirty-eight thousand four hundred forty
Ordinal
138440th
Binary
100001110011001000
Octal
416310
Hexadecimal
0x21CC8
Base64
AhzI
One's complement
4,294,828,855 (32-bit)
Scientific notation
1.3844 × 10⁵
As a duration
138,440 s = 1 day, 14 hours, 27 minutes, 20 seconds
In other bases
ternary (3) 21000220102
quaternary (4) 201303020
quinary (5) 13412230
senary (6) 2544532
septenary (7) 1114421
nonary (9) 230812
undecimal (11) 95015
duodecimal (12) 68148
tridecimal (13) 4b023
tetradecimal (14) 38648
pentadecimal (15) 2b045

As an angle

138,440° = 384 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρληυμʹ
Mayan (base 20)
𝋱·𝋦·𝋢·𝋠
Chinese
一十三萬八千四百四十
Chinese (financial)
壹拾參萬捌仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٣٨٤٤٠ Devanagari १३८४४० Bengali ১৩৮৪৪০ Tamil ௧௩௮௪௪௦ Thai ๑๓๘๔๔๐ Tibetan ༡༣༨༤༤༠ Khmer ១៣៨៤៤០ Lao ໑໓໘໔໔໐ Burmese ၁၃၈၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138440, here are decompositions:

  • 7 + 138433 = 138440
  • 13 + 138427 = 138440
  • 37 + 138403 = 138440
  • 67 + 138373 = 138440
  • 103 + 138337 = 138440
  • 151 + 138289 = 138440
  • 157 + 138283 = 138440
  • 193 + 138247 = 138440

Showing the first eight; more decompositions exist.

Unicode codepoint
𡳈
CJK Unified Ideograph-21Cc8
U+21CC8
Other letter (Lo)

UTF-8 encoding: F0 A1 B3 88 (4 bytes).

Hex color
#021CC8
RGB(2, 28, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.200.

Address
0.2.28.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.200

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 138,440 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 138440 first appears in π at position 163,163 of the decimal expansion (the 163,163ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.