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114,080

114,080 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

114,080 (one hundred fourteen thousand eighty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 23 × 31. Its proper divisors sum to 176,224, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BDA0.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
80,411
Recamán's sequence
a(56,947) = 114,080
Square (n²)
13,014,246,400
Cube (n³)
1,484,665,229,312,000
Divisor count
48
σ(n) — sum of divisors
290,304
φ(n) — Euler's totient
42,240
Sum of prime factors
69

Primality

Prime factorization: 2 5 × 5 × 23 × 31

Nearest primes: 114,077 (−3) · 114,083 (+3)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 23 · 31 · 32 · 40 · 46 · 62 · 80 · 92 · 115 · 124 · 155 · 160 · 184 · 230 · 248 · 310 · 368 · 460 · 496 · 620 · 713 · 736 · 920 · 992 · 1240 · 1426 · 1840 · 2480 · 2852 · 3565 · 3680 · 4960 · 5704 · 7130 · 11408 · 14260 · 22816 · 28520 · 57040 (half) · 114080
Aliquot sum (sum of proper divisors): 176,224
Factor pairs (a × b = 114,080)
1 × 114080
2 × 57040
4 × 28520
5 × 22816
8 × 14260
10 × 11408
16 × 7130
20 × 5704
23 × 4960
31 × 3680
32 × 3565
40 × 2852
46 × 2480
62 × 1840
80 × 1426
92 × 1240
115 × 992
124 × 920
155 × 736
160 × 713
184 × 620
230 × 496
248 × 460
310 × 368
First multiples
114,080 · 228,160 (double) · 342,240 · 456,320 · 570,400 · 684,480 · 798,560 · 912,640 · 1,026,720 · 1,140,800

Sums & aliquot sequence

As consecutive integers: 22,814 + 22,815 + 22,816 + 22,817 + 22,818 4,949 + 4,950 + … + 4,971 3,665 + 3,666 + … + 3,695 1,751 + 1,752 + … + 1,814
Aliquot sequence: 114,080 176,224 170,780 187,900 220,060 242,108 181,588 165,164 126,820 155,924 133,120 210,860 266,596 255,548 207,292 168,188 141,772 — unresolved within range

Continued fraction of √n

√114,080 = [337; (1, 3, 8, 3, 3, 13, 2, 15, 1, 167, 1, 15, 2, 13, 3, 3, 8, 3, 1, 674)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred fourteen thousand eighty
Ordinal
114080th
Binary
11011110110100000
Octal
336640
Hexadecimal
0x1BDA0
Base64
Ab2g
One's complement
4,294,853,215 (32-bit)
Scientific notation
1.1408 × 10⁵
As a duration
114,080 s = 1 day, 7 hours, 41 minutes, 20 seconds
In other bases
ternary (3) 12210111012
quaternary (4) 123312200
quinary (5) 12122310
senary (6) 2240052
septenary (7) 653411
nonary (9) 183435
undecimal (11) 7878a
duodecimal (12) 56028
tridecimal (13) 3cc05
tetradecimal (14) 2d808
pentadecimal (15) 23c05

As an angle

114,080° = 316 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριδπʹ
Mayan (base 20)
𝋮·𝋥·𝋤·𝋠
Chinese
一十一萬四千零八十
Chinese (financial)
壹拾壹萬肆仟零捌拾
In other modern scripts
Eastern Arabic ١١٤٠٨٠ Devanagari ११४०८० Bengali ১১৪০৮০ Tamil ௧௧௪௦௮௦ Thai ๑๑๔๐๘๐ Tibetan ༡༡༤༠༨༠ Khmer ១១៤០៨០ Lao ໑໑໔໐໘໐ Burmese ၁၁၄၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 114080, here are decompositions:

  • 3 + 114077 = 114080
  • 7 + 114073 = 114080
  • 13 + 114067 = 114080
  • 37 + 114043 = 114080
  • 67 + 114013 = 114080
  • 79 + 114001 = 114080
  • 97 + 113983 = 114080
  • 181 + 113899 = 114080

Showing the first eight; more decompositions exist.

Hex color
#01BDA0
RGB(1, 189, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.160.

Address
0.1.189.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.189.160

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 114,080 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 114080 first appears in π at position 811,289 of the decimal expansion (the 811,289ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.