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138,378

138,378 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.).

138,378 (one hundred thirty-eight thousand three hundred seventy-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 23,063. Its proper divisors sum to 138,390, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C8A.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
4,032
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
873,831
Recamán's sequence
a(492,071) = 138,378
Square (n²)
19,148,470,884
Cube (n³)
2,649,727,103,986,152
Divisor count
8
σ(n) — sum of divisors
276,768
φ(n) — Euler's totient
46,124
Sum of prime factors
23,068

Primality

Prime factorization: 2 × 3 × 23063

Nearest primes: 138,373 (−5) · 138,389 (+11)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 23063 · 46126 · 69189 (half) · 138378
Aliquot sum (sum of proper divisors): 138,390
Factor pairs (a × b = 138,378)
1 × 138378
2 × 69189
3 × 46126
6 × 23063
First multiples
138,378 · 276,756 (double) · 415,134 · 553,512 · 691,890 · 830,268 · 968,646 · 1,107,024 · 1,245,402 · 1,383,780

Sums & aliquot sequence

As consecutive integers: 46,125 + 46,126 + 46,127 34,593 + 34,594 + 34,595 + 34,596 11,526 + 11,527 + … + 11,537
Aliquot sequence: 138,378 138,390 241,770 338,550 537,882 546,630 1,043,130 1,808,070 2,926,650 4,438,950 6,716,586 6,743,382 6,743,394 10,142,046 11,832,426 14,461,974 16,872,342 — unresolved within range

Continued fraction of √n

√138,378 = [371; (1, 122, 1, 742)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand three hundred seventy-eight
Ordinal
138378th
Binary
100001110010001010
Octal
416212
Hexadecimal
0x21C8A
Base64
AhyK
One's complement
4,294,828,917 (32-bit)
Scientific notation
1.38378 × 10⁵
As a duration
138,378 s = 1 day, 14 hours, 26 minutes, 18 seconds
In other bases
ternary (3) 21000211010
quaternary (4) 201302022
quinary (5) 13412003
senary (6) 2544350
septenary (7) 1114302
nonary (9) 230733
undecimal (11) 94a69
duodecimal (12) 680b6
tridecimal (13) 4aca6
tetradecimal (14) 38602
pentadecimal (15) 2b003

As an angle

138,378° = 384 × 360° + 138°
138° ≈ 2.409 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλητοηʹ
Mayan (base 20)
𝋱·𝋥·𝋲·𝋲
Chinese
一十三萬八千三百七十八
Chinese (financial)
壹拾參萬捌仟參佰柒拾捌
In other modern scripts
Eastern Arabic ١٣٨٣٧٨ Devanagari १३८३७८ Bengali ১৩৮৩৭৮ Tamil ௧௩௮௩௭௮ Thai ๑๓๘๓๗๘ Tibetan ༡༣༨༣༧༨ Khmer ១៣៨៣៧៨ Lao ໑໓໘໓໗໘ Burmese ၁၃၈၃၇၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138378, here are decompositions:

  • 5 + 138373 = 138378
  • 7 + 138371 = 138378
  • 29 + 138349 = 138378
  • 41 + 138337 = 138378
  • 59 + 138319 = 138378
  • 67 + 138311 = 138378
  • 89 + 138289 = 138378
  • 127 + 138251 = 138378

Showing the first eight; more decompositions exist.

Unicode codepoint
𡲊
CJK Unified Ideograph-21C8A
U+21C8A
Other letter (Lo)

UTF-8 encoding: F0 A1 B2 8A (4 bytes).

Hex color
#021C8A
RGB(2, 28, 138)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.138.

Address
0.2.28.138
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.138

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 138,378 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 138378 first appears in π at position 457,990 of the decimal expansion (the 457,990ordinal-suffix:th 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.