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Number

1,409

1,409 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree Year

Historical context — 1409 AD

Calendar year

Year 1409 (MCDIX) was a common year starting on Tuesday of the Julian 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
Sunday
January 1, 1409
Ended on
Sunday
December 31, 1409
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1400s
1400–1409
Century
15th century
1401–1500
Millennium
2nd millennium
1001–2000
Years ago
617
617 years before 2026.

In other calendars

Hebrew
5169 / 5170 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
811 / 812 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Ox
Sexagenary cycle position 26 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1952 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
787 / 788 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1401 / 1402 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1331 / 1330 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
9,041
Recamán's sequence
a(8,310) = 1,409
Square (n²)
1,985,281
Cube (n³)
2,797,260,929
Divisor count
2
σ(n) — sum of divisors
1,410
φ(n) — Euler's totient
1,408

Primality

1,409 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1409
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,409)
1 × 1409
First multiples
1,409 · 2,818 (double) · 4,227 · 5,636 · 7,045 · 8,454 · 9,863 · 11,272 · 12,681 · 14,090

Sums & aliquot sequence

As a sum of two squares: 25² + 28²
As consecutive integers: 704 + 705

Representations

In words
one thousand four hundred nine
Ordinal
1409th
Roman numeral
MCDIX
Binary
10110000001
Octal
2601
Hexadecimal
0x581
Base64
BYE=
One's complement
64,126 (16-bit)
In other bases
ternary (3) 1221012
quaternary (4) 112001
quinary (5) 21114
senary (6) 10305
septenary (7) 4052
nonary (9) 1835
undecimal (11) 1071
duodecimal (12) 995
tridecimal (13) 845
tetradecimal (14) 729
pentadecimal (15) 63e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αυθʹ
Mayan (base 20)
𝋣·𝋪·𝋩
Chinese
一千四百零九
Chinese (financial)
壹仟肆佰零玖
In other modern scripts
Eastern Arabic ١٤٠٩ Devanagari १४०९ Bengali ১৪০৯ Tamil ௧௪௦௯ Thai ๑๔๐๙ Tibetan ༡༤༠༩ Khmer ១៤០៩ Lao ໑໔໐໙ Burmese ၁၄၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 1,409 = 7
e — Euler's number (e)
Digit 1,409 = 6
φ — Golden ratio (φ)
Digit 1,409 = 4
√2 — Pythagoras's (√2)
Digit 1,409 = 9
ln 2 — Natural log of 2
Digit 1,409 = 0
γ — Euler-Mascheroni (γ)
Digit 1,409 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,399 (gap of 10)
  • Next prime: 1,423 (gap of 14)
Unicode codepoint
ց
Armenian Small Letter Co
U+0581
Lowercase letter (Ll)

UTF-8 encoding: D6 81 (2 bytes).

Hex color
#000581
RGB(0, 5, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.129.

Address
0.0.5.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.129

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

Position in π

The digit sequence 1409 first appears in π at position 9,319 of the decimal expansion (the 9,319ordinal-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.