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116,144

116,144 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.).

116,144 (one hundred sixteen thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 17 × 61. Its proper divisors sum to 160,624, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C5B0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
96
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
441,611
Square (n²)
13,489,428,736
Cube (n³)
1,566,716,211,113,984
Divisor count
40
σ(n) — sum of divisors
276,768
φ(n) — Euler's totient
46,080
Sum of prime factors
93

Primality

Prime factorization: 2 4 × 7 × 17 × 61

Nearest primes: 116,141 (−3) · 116,159 (+15)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 17 · 28 · 34 · 56 · 61 · 68 · 112 · 119 · 122 · 136 · 238 · 244 · 272 · 427 · 476 · 488 · 854 · 952 · 976 · 1037 · 1708 · 1904 · 2074 · 3416 · 4148 · 6832 · 7259 · 8296 · 14518 · 16592 · 29036 · 58072 (half) · 116144
Aliquot sum (sum of proper divisors): 160,624
Factor pairs (a × b = 116,144)
1 × 116144
2 × 58072
4 × 29036
7 × 16592
8 × 14518
14 × 8296
16 × 7259
17 × 6832
28 × 4148
34 × 3416
56 × 2074
61 × 1904
68 × 1708
112 × 1037
119 × 976
122 × 952
136 × 854
238 × 488
244 × 476
272 × 427
First multiples
116,144 · 232,288 (double) · 348,432 · 464,576 · 580,720 · 696,864 · 813,008 · 929,152 · 1,045,296 · 1,161,440

Sums & aliquot sequence

As consecutive integers: 16,589 + 16,590 + … + 16,595 6,824 + 6,825 + … + 6,840 3,614 + 3,615 + … + 3,645 1,874 + 1,875 + … + 1,934
Aliquot sequence: 116,144 160,624 150,616 137,024 135,010 119,006 61,114 30,560 42,016 47,948 35,968 35,942 17,974 13,706 12,214 6,794 3,766 — unresolved within range

Continued fraction of √n

√116,144 = [340; (1, 3, 1, 41, 1, 3, 1, 680)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred sixteen thousand one hundred forty-four
Ordinal
116144th
Binary
11100010110110000
Octal
342660
Hexadecimal
0x1C5B0
Base64
AcWw
One's complement
4,294,851,151 (32-bit)
Scientific notation
1.16144 × 10⁵
As a duration
116,144 s = 1 day, 8 hours, 15 minutes, 44 seconds
In other bases
ternary (3) 12220022122
quaternary (4) 130112300
quinary (5) 12204034
senary (6) 2253412
septenary (7) 662420
nonary (9) 186278
undecimal (11) 7a296
duodecimal (12) 57268
tridecimal (13) 40b32
tetradecimal (14) 30480
pentadecimal (15) 2462e

As an angle

116,144° = 322 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριϛρμδʹ
Mayan (base 20)
𝋮·𝋪·𝋧·𝋤
Chinese
一十一萬六千一百四十四
Chinese (financial)
壹拾壹萬陸仟壹佰肆拾肆
In other modern scripts
Eastern Arabic ١١٦١٤٤ Devanagari ११६१४४ Bengali ১১৬১৪৪ Tamil ௧௧௬௧௪௪ Thai ๑๑๖๑๔๔ Tibetan ༡༡༦༡༤༤ Khmer ១១៦១៤៤ Lao ໑໑໖໑໔໔ Burmese ၁၁၆၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116144, here are decompositions:

  • 3 + 116141 = 116144
  • 13 + 116131 = 116144
  • 31 + 116113 = 116144
  • 37 + 116107 = 116144
  • 43 + 116101 = 116144
  • 97 + 116047 = 116144
  • 103 + 116041 = 116144
  • 157 + 115987 = 116144

Showing the first eight; more decompositions exist.

Hex color
#01C5B0
RGB(1, 197, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.197.176.

Address
0.1.197.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.197.176

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 116,144 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 116144 first appears in π at position 560,969 of the decimal expansion (the 560,969ordinal-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.