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Number

1,138

1,138 is a composite number, even, a calendar year.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 1138 AD

Calendar year

Year 1138 (MCXXXVIII) was a common year starting on Saturday of the Julian calendar.

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Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Saturday
January 1, 1138
Ended on
Saturday
December 31, 1138
Friday the 13ths
1
One Friday the 13th this year.
Decade
1130s
1130–1139
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
888
888 years before 2026.

In other calendars

Hebrew
4898 / 4899 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
532 / 533 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Horse
Sexagenary cycle position 55 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1681 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
516 / 517 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1130 / 1131 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1060 / 1059 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
13
Digit product
24
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
8,311
Recamán's sequence
a(1,896) = 1,138
Square (n²)
1,295,044
Cube (n³)
1,473,760,072
Divisor count
4
σ(n) — sum of divisors
1,710
φ(n) — Euler's totient
568
Sum of prime factors
571

Primality

Prime factorization: 2 × 569

Nearest primes: 1,129 (−9) · 1,151 (+13)

Divisors & multiples

All divisors (4)
1 · 2 · 569 (half) · 1138
Aliquot sum (sum of proper divisors): 572
Factor pairs (a × b = 1,138)
1 × 1138
2 × 569
First multiples
1,138 · 2,276 (double) · 3,414 · 4,552 · 5,690 · 6,828 · 7,966 · 9,104 · 10,242 · 11,380

Sums & aliquot sequence

As a sum of two squares: 7² + 33²
As consecutive integers: 283 + 284 + 285 + 286
Aliquot sequence: 1,138 572 604 460 548 418 302 154 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand one hundred thirty-eight
Ordinal
1138th
Roman numeral
MCXXXVIII
Binary
10001110010
Octal
2162
Hexadecimal
0x472
Base64
BHI=
One's complement
64,397 (16-bit)
In other bases
ternary (3) 1120011
quaternary (4) 101302
quinary (5) 14023
senary (6) 5134
septenary (7) 3214
nonary (9) 1504
undecimal (11) 945
duodecimal (12) 7aa
tridecimal (13) 697
tetradecimal (14) 5b4
pentadecimal (15) 50d

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αρληʹ
Mayan (base 20)
𝋢·𝋰·𝋲
Chinese
一千一百三十八
Chinese (financial)
壹仟壹佰參拾捌
In other modern scripts
Eastern Arabic ١١٣٨ Devanagari ११३८ Bengali ১১৩৮ Tamil ௧௧௩௮ Thai ๑๑๓๘ Tibetan ༡༡༣༨ Khmer ១១៣៨ Lao ໑໑໓໘ Burmese ၁၁၃၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,138 = 7
e — Euler's number (e)
Digit 1,138 = 1
φ — Golden ratio (φ)
Digit 1,138 = 0
√2 — Pythagoras's (√2)
Digit 1,138 = 3
ln 2 — Natural log of 2
Digit 1,138 = 6
γ — Euler-Mascheroni (γ)
Digit 1,138 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1138, here are decompositions:

  • 29 + 1109 = 1138
  • 41 + 1097 = 1138
  • 47 + 1091 = 1138
  • 89 + 1049 = 1138
  • 107 + 1031 = 1138
  • 167 + 971 = 1138
  • 191 + 947 = 1138
  • 197 + 941 = 1138

Showing the first eight; more decompositions exist.

Unicode codepoint
Ѳ
Cyrillic Capital Letter Fita
U+0472
Uppercase letter (Lu)

UTF-8 encoding: D1 B2 (2 bytes).

Hex color
#000472
RGB(0, 4, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.114.

Address
0.0.4.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.114

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 1138 first appears in π at position 5,698 of the decimal expansion (the 5,698ordinal-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.