Number

144

144 — A Gross

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

One hundred forty-four, also called a gross, is 12 squared and the twelfth Fibonacci number. It is the only Fibonacci number greater than 1 that is also a perfect square.

Sources https://en.wikipedia.org/wiki/144_(number)

Abundant Number Curated Evil Number Fibonacci Harshad / Niven Perfect Square Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number Zuckerman Number

Historical context — 144 AD

Calendar year

Year 144 (CXLIV) was a leap year starting on Tuesday of the Julian calendar.

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

Historical context — 144 BC

Calendar year

Year 144 BC was a year of the pre-Julian Roman 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, 144
Ended on: Thursday
December 31, 144
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 140s
140–149
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,882
1882 years before 2026.

In other calendars

Hebrew: 3904 / 3905 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 687 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 136 / 137 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 66 / 65 Saka
Indian national calendar; year starts in March.

Cultural significance

Christian sacred

144,000 sealed servants in the Book of Revelation.

12 × 12 × 1000 — twelve tribes squared.

Western significant

A gross — twelve dozen; common in older retail and printing.

Sourced from Wikipedia (Numerology, Chinese numerology, Gematria, and per-culture articles).

Properties

Parity: Even
Digit count: 3
Digit sum: 9
Digit product: 16
Digital root: 9
Palindrome: No
Bit width: 8 bits
Reversed: 441
Recamán's sequence: a(744) = 144
Square (n²): 20,736
Cube (n³): 2,985,984
Square root (√n): 12
Divisor count: 15
σ(n) — sum of divisors: 403
φ(n) — Euler's totient: 48
Sum of prime factors: 14

Primality

Prime factorization: 2 ⁴ × 3 ²

Nearest primes: 139 (−5) · 149 (+5)

Divisors & multiples

All divisors (15)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 (half) · 144

Aliquot sum (sum of proper divisors): 259

Factor pairs (a × b = 144)

1 × 144

2 × 72

3 × 48

4 × 36

6 × 24

8 × 18

9 × 16

12 × 12

First multiples

144 · 288 (double) · 432 · 576 · 720 · 864 · 1,008 · 1,152 · 1,296 · 1,440

Sums & aliquot sequence

As a sum of two squares: 0² + 12²

As consecutive integers: 47 + 48 + 49 12 + 13 + … + 20

Aliquot sequence: 144 → 259 → 45 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Representations

In words: one hundred forty-four
Ordinal: 144th
Roman numeral: CXLIV
Binary: 10010000
Octal: 220
Hexadecimal: 0x90
Base64: kA==
One's complement: 111 (8-bit)

In other bases

ternary (3) 12100

quaternary (4) 2100

quinary (5) 1034

senary (6) 400

septenary (7) 264

nonary (9) 170

undecimal (11) 121

duodecimal (12) 100

tridecimal (13) b1

tetradecimal (14) a4

pentadecimal (15) 99

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ρμδʹ
Mayan (base 20): 𝋧·𝋤
Chinese: 一百四十四
Chinese (financial): 壹佰肆拾肆

In other modern scripts

Eastern Arabic ١٤٤ Devanagari १४४ Bengali ১৪৪ Tamil ௧௪௪ Thai ๑๔๔ Tibetan ༡༤༤ Khmer ១៤៤ Lao ໑໔໔ Burmese ၁၄၄

Digit at this position in famous constants

π — Pi (π): Digit 144 = 5
e — Euler's number (e): Digit 144 = 3
φ — Golden ratio (φ): Digit 144 = 8
√2 — Pythagoras's (√2): Digit 144 = 2
ln 2 — Natural log of 2: Digit 144 = 7
γ — Euler-Mascheroni (γ): Digit 144 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 144, here are decompositions:

5 + 139 = 144
7 + 137 = 144
13 + 131 = 144
17 + 127 = 144
31 + 113 = 144
37 + 107 = 144
41 + 103 = 144
43 + 101 = 144

Showing the first eight; more decompositions exist.

Unicode codepoint

Device Control String

U+0090

Control character (Cc)

UTF-8 encoding: C2 90 (2 bytes).

Lookup U+0090 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000090

RGB(0, 0, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.144.

Address: 0.0.0.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.144

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