Number

140

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

140 (one hundred forty) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 7. Its proper divisors sum to 196, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CXL and in binary, 10001100.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Square Pyramidal Year

Interestingness

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8 notable facts · grade A

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Historical context — 140 AD

Calendar year

Year 140 (CXL) was a leap year starting on Thursday of the Julian calendar.

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

Historical context — 140 BC

Calendar year

140 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: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Friday
January 1, 140
Ended on: Saturday
December 31, 140
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 140s
140–149
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,886
1886 years before 2026.

In other calendars

Hebrew: 3900 / 3901 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Dragon
Sexagenary cycle position 17 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 683 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 132 / 133 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 62 / 61 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 8 bits
Reversed: 41
Recamán's sequence: a(752) = 140
Square (n²): 19,600
Cube (n³): 2,744,000
Divisor count: 12
σ(n) — sum of divisors: 336
φ(n) — Euler's totient: 48
Sum of prime factors: 16

Primality

Prime factorization: 2 ² × 5 × 7

Nearest primes: 139 (−1) · 149 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 35 · 70 (half) · 140

Aliquot sum (sum of proper divisors): 196

Factor pairs (a × b = 140)

1 × 140

2 × 70

4 × 35

5 × 28

7 × 20

10 × 14

First multiples

140 · 280 (double) · 420 · 560 · 700 · 840 · 980 · 1,120 · 1,260 · 1,400

Sums & aliquot sequence

As consecutive integers: 26 + 27 + 28 + 29 + 30 17 + 18 + … + 23 14 + 15 + … + 21

Aliquot sequence: 140 → 196 → 203 → 37 → 1 → 0 — terminates at zero

Continued fraction of √n

√140 = [11; (1, 4, 1, 22)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one hundred forty
Ordinal: 140th
Roman numeral: CXL
Binary: 10001100
Octal: 214
Hexadecimal: 0x8C
Base64: jA==
One's complement: 115 (8-bit)
Scientific notation: 1.4 × 10²
As a duration: 140 s = 2 minutes, 20 seconds

In other bases

ternary (3) 12012

quaternary (4) 2030

quinary (5) 1030

senary (6) 352

septenary (7) 260

nonary (9) 165

undecimal (11) 118

duodecimal (12) b8

tridecimal (13) aa

tetradecimal (14) a0

pentadecimal (15) 95

As an angle

140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ρμʹ
Mayan (base 20): 𝋧·𝋠
Chinese: 一百四十
Chinese (financial): 壹佰肆拾

In other modern scripts

Eastern Arabic ١٤٠ Devanagari १४० Bengali ১৪০ Tamil ௧௪௦ Thai ๑๔๐ Tibetan ༡༤༠ Khmer ១៤០ Lao ໑໔໐ Burmese ၁၄၀

Digit at this position in famous constants

π — Pi (π): Digit 140 = 7
e — Euler's number (e): Digit 140 = 9
φ — Golden ratio (φ): Digit 140 = 7
√2 — Pythagoras's (√2): Digit 140 = 6
ln 2 — Natural log of 2: Digit 140 = 0
γ — Euler-Mascheroni (γ): Digit 140 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 140, here are decompositions:

3 + 137 = 140
13 + 127 = 140
31 + 109 = 140
37 + 103 = 140
43 + 97 = 140
61 + 79 = 140
67 + 73 = 140

Unicode codepoint

Partial Line Backward

U+008C

Control character (Cc)

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

Lookup U+008C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00008C

RGB(0, 0, 140)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.140.

Address: 0.0.0.140
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.140

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

Musical pitch

Heard as a frequency, 140 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯3 (138.6 Hz, +18¢)
Scientific pitch (C4 = 256 Hz): D3 (143.7 Hz, -45¢ — about midway to C♯3)
Baroque pitch (A4 = 415 Hz): D3 (138.5 Hz, +19¢)

Food additive (E-number)

On an ingredients label, E140 is Chlorophylls, a food colour — the green of plants.

E-number reference (Wikipedia) ↗