Number

1,412

1,412 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Self Number Year

Historical context — 1412 AD

Calendar year

Year 1412 (MCDXII) was a leap year starting on Friday on 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: Wednesday
January 1, 1412
Ended on: Thursday
December 31, 1412
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1410s
1410–1419
Century: 15th century
1401–1500
Millennium: 2nd millennium
1001–2000
Years ago: 614
614 years before 2026.

In other calendars

Hebrew: 5172 / 5173 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 814 / 815 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1955 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 790 / 791 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1404 / 1405 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1334 / 1333 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 8
Digit product: 8
Digital root: 8
Palindrome: No
Bit width: 11 bits
Reversed: 2,141
Recamán's sequence: a(8,304) = 1,412
Square (n²): 1,993,744
Cube (n³): 2,815,166,528
Divisor count: 6
σ(n) — sum of divisors: 2,478
φ(n) — Euler's totient: 704
Sum of prime factors: 357

Primality

Prime factorization: 2 ² × 353

Nearest primes: 1,409 (−3) · 1,423 (+11)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 353 · 706 (half) · 1412

Aliquot sum (sum of proper divisors): 1,066

Factor pairs (a × b = 1,412)

1 × 1412

2 × 706

4 × 353

First multiples

1,412 · 2,824 (double) · 4,236 · 5,648 · 7,060 · 8,472 · 9,884 · 11,296 · 12,708 · 14,120

Sums & aliquot sequence

As a sum of two squares: 16² + 34²

As consecutive integers: 173 + 174 + … + 180

Aliquot sequence: 1,412 → 1,066 → 698 → 352 → 404 → 310 → 266 → 214 → 110 → 106 → 56 → 64 → 63 → 41 → 1 → 0 — terminates at zero

Representations

In words: one thousand four hundred twelve
Ordinal: 1412th
Roman numeral: MCDXII
Binary: 10110000100
Octal: 2604
Hexadecimal: 0x584
Base64: BYQ=
One's complement: 64,123 (16-bit)

In other bases

ternary (3) 1221022

quaternary (4) 112010

quinary (5) 21122

senary (6) 10312

septenary (7) 4055

nonary (9) 1838

undecimal (11) 1074

duodecimal (12) 998

tridecimal (13) 848

tetradecimal (14) 72c

pentadecimal (15) 642

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian): ͵αυιβʹ
Mayan (base 20): 𝋣·𝋪·𝋬
Chinese: 一千四百一十二
Chinese (financial): 壹仟肆佰壹拾貳

In other modern scripts

Eastern Arabic ١٤١٢ Devanagari १४१२ Bengali ১৪১২ Tamil ௧௪௧௨ Thai ๑๔๑๒ Tibetan ༡༤༡༢ Khmer ១៤១២ Lao ໑໔໑໒ Burmese ၁၄၁၂

Digit at this position in famous constants

π — Pi (π): Digit 1,412 = 6
e — Euler's number (e): Digit 1,412 = 7
φ — Golden ratio (φ): Digit 1,412 = 7
√2 — Pythagoras's (√2): Digit 1,412 = 6
ln 2 — Natural log of 2: Digit 1,412 = 6
γ — Euler-Mascheroni (γ): Digit 1,412 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1412, here are decompositions:

3 + 1409 = 1412
13 + 1399 = 1412
31 + 1381 = 1412
109 + 1303 = 1412
163 + 1249 = 1412
181 + 1231 = 1412
199 + 1213 = 1412
211 + 1201 = 1412

Showing the first eight; more decompositions exist.

Unicode codepoint

Armenian Small Letter Keh

U+0584

Lowercase letter (Ll)

UTF-8 encoding: D6 84 (2 bytes).

Lookup U+0584 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000584

RGB(0, 5, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.132.

Address: 0.0.5.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.132

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

Position in π

The digit sequence 1412 first appears in π at position 295 of the decimal expansion (the 295ordinal-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 1412 on Pi Search ↗