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110,144

110,144 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.).

110,144 (one hundred ten thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 1,721. Written other ways, in hexadecimal, 0x1AE40.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
441,011
Recamán's sequence
a(249,008) = 110,144
Square (n²)
12,131,700,736
Cube (n³)
1,336,234,045,865,984
Divisor count
14
σ(n) — sum of divisors
218,694
φ(n) — Euler's totient
55,040
Sum of prime factors
1,733

Primality

Prime factorization: 2 6 × 1721

Nearest primes: 110,129 (−15) · 110,161 (+17)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 1721 · 3442 · 6884 · 13768 · 27536 · 55072 (half) · 110144
Aliquot sum (sum of proper divisors): 108,550
Factor pairs (a × b = 110,144)
1 × 110144
2 × 55072
4 × 27536
8 × 13768
16 × 6884
32 × 3442
64 × 1721
First multiples
110,144 · 220,288 (double) · 330,432 · 440,576 · 550,720 · 660,864 · 771,008 · 881,152 · 991,296 · 1,101,440

Sums & aliquot sequence

As a sum of two squares: 88² + 320²
As consecutive integers: 797 + 798 + … + 924
Aliquot sequence: 110,144 108,550 110,186 59,674 29,840 39,724 29,800 39,950 40,402 20,204 15,160 19,040 35,392 45,888 76,032 169,248 296,448 — unresolved within range

Continued fraction of √n

√110,144 = [331; (1, 7, 3, 2, 1, 5, 1, 15, 2, 1, 20, 1, 2, 1, 4, 2, 11, 1, 1, 1, 1, 1, 1, 9, …)]

Representations

In words
one hundred ten thousand one hundred forty-four
Ordinal
110144th
Binary
11010111001000000
Octal
327100
Hexadecimal
0x1AE40
Base64
Aa5A
One's complement
4,294,857,151 (32-bit)
Scientific notation
1.10144 × 10⁵
As a duration
110,144 s = 1 day, 6 hours, 35 minutes, 44 seconds
In other bases
ternary (3) 12121002102
quaternary (4) 122321000
quinary (5) 12011034
senary (6) 2205532
septenary (7) 636056
nonary (9) 177072
undecimal (11) 75831
duodecimal (12) 538a8
tridecimal (13) 3b198
tetradecimal (14) 2c1d6
pentadecimal (15) 2297e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριρμδʹ
Mayan (base 20)
𝋭·𝋯·𝋧·𝋤
Chinese
一十一萬零一百四十四
Chinese (financial)
壹拾壹萬零壹佰肆拾肆
In other modern scripts
Eastern Arabic ١١٠١٤٤ Devanagari ११०१४४ Bengali ১১০১৪৪ Tamil ௧௧௦௧௪௪ Thai ๑๑๐๑๔๔ Tibetan ༡༡༠༡༤༤ Khmer ១១០១៤៤ Lao ໑໑໐໑໔໔ Burmese ၁၁၀၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110144, here are decompositions:

  • 61 + 110083 = 110144
  • 127 + 110017 = 110144
  • 157 + 109987 = 110144
  • 241 + 109903 = 110144
  • 271 + 109873 = 110144
  • 313 + 109831 = 110144
  • 337 + 109807 = 110144
  • 523 + 109621 = 110144

Showing the first eight; more decompositions exist.

Hex color
#01AE40
RGB(1, 174, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.64.

Address
0.1.174.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.174.64

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 110,144 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 110144 first appears in π at position 30,236 of the decimal expansion (the 30,236ordinal-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.