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Number

1,148

1,148 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1148 AD

Calendar year

Year 1148 (MCXLVIII) was a leap year starting on Thursday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1148
Ended on
Friday
December 31, 1148
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1140s
1140–1149
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
878
878 years before 2026.

In other calendars

Hebrew
4908 / 4909 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
542 / 543 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Dragon
Sexagenary cycle position 5 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1691 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
526 / 527 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1140 / 1141 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1070 / 1069 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
32
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
8,411
Recamán's sequence
a(1,876) = 1,148
Square (n²)
1,317,904
Cube (n³)
1,512,953,792
Divisor count
12
σ(n) — sum of divisors
2,352
φ(n) — Euler's totient
480
Sum of prime factors
52

Primality

Prime factorization: 2 2 × 7 × 41

Nearest primes: 1,129 (−19) · 1,151 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 41 · 82 · 164 · 287 · 574 (half) · 1148
Aliquot sum (sum of proper divisors): 1,204
Factor pairs (a × b = 1,148)
1 × 1148
2 × 574
4 × 287
7 × 164
14 × 82
28 × 41
First multiples
1,148 · 2,296 (double) · 3,444 · 4,592 · 5,740 · 6,888 · 8,036 · 9,184 · 10,332 · 11,480

Sums & aliquot sequence

As consecutive integers: 161 + 162 + … + 167 140 + 141 + … + 147 8 + 9 + … + 48
Aliquot sequence: 1,148 1,204 1,260 3,108 5,404 5,460 13,356 25,956 49,756 49,812 83,244 138,964 144,326 127,978 67,322 36,250 34,040 — unresolved within range

Representations

In words
one thousand one hundred forty-eight
Ordinal
1148th
Roman numeral
MCXLVIII
Binary
10001111100
Octal
2174
Hexadecimal
0x47C
Base64
BHw=
One's complement
64,387 (16-bit)
In other bases
ternary (3) 1120112
quaternary (4) 101330
quinary (5) 14043
senary (6) 5152
septenary (7) 3230
nonary (9) 1515
undecimal (11) 954
duodecimal (12) 7b8
tridecimal (13) 6a4
tetradecimal (14) 5c0
pentadecimal (15) 518

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αρμηʹ
Mayan (base 20)
𝋢·𝋱·𝋨
Chinese
一千一百四十八
Chinese (financial)
壹仟壹佰肆拾捌
In other modern scripts
Eastern Arabic ١١٤٨ Devanagari ११४८ Bengali ১১৪৮ Tamil ௧௧௪௮ Thai ๑๑๔๘ Tibetan ༡༡༤༨ Khmer ១១៤៨ Lao ໑໑໔໘ Burmese ၁၁၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,148 = 0
e — Euler's number (e)
Digit 1,148 = 1
φ — Golden ratio (φ)
Digit 1,148 = 1
√2 — Pythagoras's (√2)
Digit 1,148 = 3
ln 2 — Natural log of 2
Digit 1,148 = 0
γ — Euler-Mascheroni (γ)
Digit 1,148 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1148, here are decompositions:

  • 19 + 1129 = 1148
  • 31 + 1117 = 1148
  • 61 + 1087 = 1148
  • 79 + 1069 = 1148
  • 97 + 1051 = 1148
  • 109 + 1039 = 1148
  • 127 + 1021 = 1148
  • 139 + 1009 = 1148

Showing the first eight; more decompositions exist.

Unicode codepoint
Ѽ
Cyrillic Capital Letter Omega With Titlo
U+047C
Uppercase letter (Lu)

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

Hex color
#00047C
RGB(0, 4, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.124.

Address
0.0.4.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.124

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001148
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1148 first appears in π at position 15,707 of the decimal expansion (the 15,707ordinal-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.