Number

114

114 is a composite number, even, a calendar year.

114 (one hundred fourteen) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 19. Its proper divisors sum to 126, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CXIV and in binary, 1110010.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Moran Number Padovan Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Interestingness

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9 notable facts · grade A

102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126

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Historical context — 114 AD

Calendar year

Year 114 (CXIV) was a common year starting on Sunday of the Julian calendar.

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

Historical context — 114 BC

Calendar year

Year 114 BC was a year of the pre-Julian Roman calendar.

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

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: Monday
January 1, 114
Ended on: Monday
December 31, 114
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 110s
110–119
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,912
1912 years before 2026.

In other calendars

Hebrew: 3874 / 3875 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Wood zodiac:Tiger
Sexagenary cycle position 51 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 657 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 106 / 107 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 36 / 35 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 6
Digit product: 4
Digital root: 6
Palindrome: No
Bit width: 7 bits
Reversed: 411
Recamán's sequence: a(36) = 114
Square (n²): 12,996
Cube (n³): 1,481,544
Divisor count: 8
σ(n) — sum of divisors: 240
φ(n) — Euler's totient: 36
Sum of prime factors: 24

Primality

Prime factorization: 2 × 3 × 19

Nearest primes: 113 (−1) · 127 (+13)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 19 · 38 · 57 (half) · 114

Aliquot sum (sum of proper divisors): 126

Factor pairs (a × b = 114)

1 × 114

2 × 57

3 × 38

6 × 19

First multiples

114 · 228 (double) · 342 · 456 · 570 · 684 · 798 · 912 · 1,026 · 1,140

Sums & aliquot sequence

As consecutive integers: 37 + 38 + 39 27 + 28 + 29 + 30 4 + 5 + … + 15

Aliquot sequence: 114 → 126 → 186 → 198 → 270 → 450 → 759 → 393 → 135 → 105 → 87 → 33 → 15 → 9 → 4 → 3 → 1 — unresolved within range

Continued fraction of √n

√114 = [10; (1, 2, 10, 2, 1, 20)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one hundred fourteen
Ordinal: 114th
Roman numeral: CXIV
Binary: 1110010
Octal: 162
Hexadecimal: 0x72
Base64: cg==
One's complement: 141 (8-bit)
Scientific notation: 1.14 × 10²
As a duration: 114 s = 1 minute, 54 seconds

In other bases

ternary (3) 11020

quaternary (4) 1302

quinary (5) 424

senary (6) 310

septenary (7) 222

nonary (9) 136

undecimal (11) a4

duodecimal (12) 96

tridecimal (13) 8a

tetradecimal (14) 82

pentadecimal (15) 79

Palindromic in base 5, base 7

As an angle

114°

114° ≈ 1.99 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ριδʹ
Mayan (base 20): 𝋥·𝋮
Chinese: 一百一十四
Chinese (financial): 壹佰壹拾肆

In other modern scripts

Eastern Arabic ١١٤ Devanagari ११४ Bengali ১১৪ Tamil ௧௧௪ Thai ๑๑๔ Tibetan ༡༡༤ Khmer ១១៤ Lao ໑໑໔ Burmese ၁၁၄

Digit at this position in famous constants

π — Pi (π): Digit 114 = 8
e — Euler's number (e): Digit 114 = 0
φ — Golden ratio (φ): Digit 114 = 8
√2 — Pythagoras's (√2): Digit 114 = 1
ln 2 — Natural log of 2: Digit 114 = 7
γ — Euler-Mascheroni (γ): Digit 114 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 114, here are decompositions:

5 + 109 = 114
7 + 107 = 114
11 + 103 = 114
13 + 101 = 114
17 + 97 = 114
31 + 83 = 114
41 + 73 = 114
43 + 71 = 114

Showing the first eight; more decompositions exist.

ASCII character

As an ASCII codepoint, 114 is r. Printable ASCII character r.

Hex color

#000072

RGB(0, 0, 114)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.114.

Address: 0.0.0.114
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.114

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

Musical pitch

Heard as a frequency, 114 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯2 (116.5 Hz, -38¢)
Scientific pitch (C4 = 256 Hz): A♯2 (114 Hz, -1¢)
Baroque pitch (A4 = 415 Hz): B2 (116.5 Hz, -37¢)

(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 114 is F♯8 (5919.9 Hz at concert pitch).

Atomic number

On the periodic table, atomic number 114 is Flerovium (Fl) — period 7.

Flerovium on Wikipedia ↗