Number

1,144

1,144 is a composite number, even, a calendar year.

1,144 (one thousand one hundred forty-four) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 11 × 13. Its proper divisors sum to 1,376, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCXLIV and in binary, 10001111000.

Abundant Number Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number Year

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,132 1,133 1,134 1,135 1,136 1,137 1,138 1,139 1,140 1,141 1,142 1,143 1,144 1,145 1,146 1,147 1,148 1,149 1,150 1,151 1,152 1,153 1,154 1,155 1,156

less more

Historical context — 1144 AD

Calendar year

Year 1144 (MCXLIV) was a leap year starting on Saturday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 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: 52
Started on: Saturday
January 1, 1144
Ended on: Sunday
December 31, 1144
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1140s
1140–1149
Century: 12th century
1101–1200
Millennium: 2nd millennium
1001–2000
Years ago: 882
882 years before 2026.

In other calendars

Hebrew: 4904 / 4905 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 538 / 539 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Rat
Sexagenary cycle position 1 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1687 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 522 / 523 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1136 / 1137 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1066 / 1065 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 10
Digit product: 16
Digital root: 1
Palindrome: No
Bit width: 11 bits
Reversed: 4,411
Recamán's sequence: a(1,884) = 1,144
Square (n²): 1,308,736
Cube (n³): 1,497,193,984
Divisor count: 16
σ(n) — sum of divisors: 2,520
φ(n) — Euler's totient: 480
Sum of prime factors: 30

Primality

Prime factorization: 2 ³ × 11 × 13

Nearest primes: 1,129 (−15) · 1,151 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 8 · 11 · 13 · 22 · 26 · 44 · 52 · 88 · 104 · 143 · 286 · 572 (half) · 1144

Aliquot sum (sum of proper divisors): 1,376

Factor pairs (a × b = 1,144)

1 × 1144

2 × 572

4 × 286

8 × 143

11 × 104

13 × 88

22 × 52

26 × 44

First multiples

1,144 · 2,288 (double) · 3,432 · 4,576 · 5,720 · 6,864 · 8,008 · 9,152 · 10,296 · 11,440

Sums & aliquot sequence

As consecutive integers: 99 + 100 + … + 109 82 + 83 + … + 94 64 + 65 + … + 79

Aliquot sequence: 1,144 → 1,376 → 1,396 → 1,054 → 674 → 340 → 416 → 466 → 236 → 184 → 176 → 196 → 203 → 37 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,144 = [33; (1, 4, 1, 1, 1, 6, 1, 6, 1, 1, 1, 4, 1, 66)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred forty-four
Ordinal: 1144th
Roman numeral: MCXLIV
Binary: 10001111000
Octal: 2170
Hexadecimal: 0x478
Base64: BHg=
One's complement: 64,391 (16-bit)
Scientific notation: 1.144 × 10³
As a duration: 1,144 s = 19 minutes, 4 seconds

In other bases

ternary (3) 1120101

quaternary (4) 101320

quinary (5) 14034

senary (6) 5144

septenary (7) 3223

nonary (9) 1511

undecimal (11) 950

duodecimal (12) 7b4

tridecimal (13) 6a0

tetradecimal (14) 5ba

pentadecimal (15) 514

Palindromic in base 7

As an angle

1,144° = 3 × 360° + 64°

64° ≈ 1.117 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αρμδʹ
Mayan (base 20): 𝋢·𝋱·𝋤
Chinese: 一千一百四十四
Chinese (financial): 壹仟壹佰肆拾肆

In other modern scripts

Eastern Arabic ١١٤٤ Devanagari ११४४ Bengali ১১৪৪ Tamil ௧௧௪௪ Thai ๑๑๔๔ Tibetan ༡༡༤༤ Khmer ១១៤៤ Lao ໑໑໔໔ Burmese ၁၁၄၄

Digit at this position in famous constants

π — Pi (π): Digit 1,144 = 9
e — Euler's number (e): Digit 1,144 = 4
φ — Golden ratio (φ): Digit 1,144 = 8
√2 — Pythagoras's (√2): Digit 1,144 = 8
ln 2 — Natural log of 2: Digit 1,144 = 8
γ — Euler-Mascheroni (γ): Digit 1,144 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1144, here are decompositions:

41 + 1103 = 1144
47 + 1097 = 1144
53 + 1091 = 1144
83 + 1061 = 1144
113 + 1031 = 1144
131 + 1013 = 1144
167 + 977 = 1144
173 + 971 = 1144

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Uk

U+0478

Uppercase letter (Lu)

UTF-8 encoding: D1 B8 (2 bytes).

Lookup U+0478 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000478

RGB(0, 4, 120)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.120.

Address: 0.0.4.120
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.120

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

Musical pitch

Heard as a frequency, 1,144 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, -46¢ — about midway to C♯6)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, -8¢)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, -45¢ — about midway to D6)

Position in π

The digit sequence 1144 first appears in π at position 6,325 of the decimal expansion (the 6,325ordinal-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.

Look up 1144 on Pi Search ↗