414
414 is a composite number, even, a calendar year.
414 (four hundred fourteen) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 23. Its proper divisors sum to 522, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is CDXIV and in binary, 110011110.
Interestingness
Historical context — 414 AD
Calendar year
Year 414 (CDXIV) was a common year starting on Thursday of the Julian calendar.
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Historical context — 414 BC
Calendar year
Year 414 BC was a year of the pre-Julian Roman 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
-
Wednesday
January 1, 414
- Ended on
-
Wednesday
December 31, 414
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
410s
410–419
- Century
-
5th century
401–500
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,612
1612 years before 2026.
In other calendars
- Hebrew
-
4174 / 4175 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
-
957 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Ethiopian
-
406 / 407 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
336 / 335 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 × 3 2 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√414 = [20; (2, 1, 7, 2, 7, 1, 2, 40)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- four hundred fourteen
- Ordinal
- 414th
- Roman numeral
- CDXIV
- Binary
- 110011110
- Octal
- 636
- Hexadecimal
- 0x19E
- Base64
- AZ4=
- One's complement
- 65,121 (16-bit)
- Scientific notation
- 4.14 × 10²
- As a duration
- 414 s = 6 minutes, 54 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- υιδʹ
- Mayan (base 20)
- 𝋡·𝋠·𝋮
- Chinese
- 四百一十四
- Chinese (financial)
- 肆佰壹拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 414 = 5
- e — Euler's number (e)
- Digit 414 = 1
- φ — Golden ratio (φ)
- Digit 414 = 0
- √2 — Pythagoras's (√2)
- Digit 414 = 9
- ln 2 — Natural log of 2
- Digit 414 = 7
- γ — Euler-Mascheroni (γ)
- Digit 414 = 3
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 414, here are decompositions:
- 5 + 409 = 414
- 13 + 401 = 414
- 17 + 397 = 414
- 31 + 383 = 414
- 41 + 373 = 414
- 47 + 367 = 414
- 61 + 353 = 414
- 67 + 347 = 414
Showing the first eight; more decompositions exist.
UTF-8 encoding: C6 9E (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.158.
- Address
- 0.0.1.158
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.1.158
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The number 414 is an active NANP area code (North American Numbering Plan).
- Primary area
- Milwaukee
- Region
- Wisconsin
- Country
- United States
Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.
Heard as a frequency, 414 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯4 (415.3 Hz, -5¢)
- Scientific pitch (C4 = 256 Hz): G♯4 (406.4 Hz, +32¢)
- Baroque pitch (A4 = 415 Hz): A4 (415 Hz, -4¢)
On an ingredients label, E414 is Gum arabic (acacia gum), a thickener, stabiliser or emulsifier.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.