Live analysis

110,142

110,142 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.).

110,142 (one hundred ten thousand one hundred forty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 29 × 211. Its proper divisors sum to 137,898, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AE3E.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

110,130 110,131 110,132 110,133 110,134 110,135 110,136 110,137 110,138 110,139 110,140 110,141 110,142 110,143 110,144 110,145 110,146 110,147 110,148 110,149 110,150 110,151 110,152 110,153 110,154

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Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 241,011
Recamán's sequence: a(249,012) = 110,142
Square (n²): 12,131,260,164
Cube (n³): 1,336,161,256,983,288
Divisor count: 24
σ(n) — sum of divisors: 248,040
φ(n) — Euler's totient: 35,280
Sum of prime factors: 248

Primality

Prime factorization: 2 × 3 ² × 29 × 211

Nearest primes: 110,129 (−13) · 110,161 (+19)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 18 · 29 · 58 · 87 · 174 · 211 · 261 · 422 · 522 · 633 · 1266 · 1899 · 3798 · 6119 · 12238 · 18357 · 36714 · 55071 (half) · 110142

Aliquot sum (sum of proper divisors): 137,898

Factor pairs (a × b = 110,142)

1 × 110142

2 × 55071

3 × 36714

6 × 18357

9 × 12238

18 × 6119

29 × 3798

58 × 1899

87 × 1266

174 × 633

211 × 522

261 × 422

First multiples

110,142 · 220,284 (double) · 330,426 · 440,568 · 550,710 · 660,852 · 770,994 · 881,136 · 991,278 · 1,101,420

Sums & aliquot sequence

As consecutive integers: 36,713 + 36,714 + 36,715 27,534 + 27,535 + 27,536 + 27,537 12,234 + 12,235 + … + 12,242 9,173 + 9,174 + … + 9,184

Aliquot sequence: 110,142 → 137,898 → 169,110 → 270,810 → 506,790 → 845,370 → 1,504,710 → 2,508,570 → 4,635,270 → 7,416,666 → 8,652,816 → 15,563,454 → 15,990,738 → 16,771,278 → 18,229,938 → 20,477,262 → 24,173,106 — unresolved within range

Continued fraction of √n

√110,142 = [331; (1, 7, 10, 2, 2, 3, 3, 13, 4, 7, 1, 18, 1, 1, 1, 4, 8, 1, 3, 12, 28, 1, 3, 2, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one hundred ten thousand one hundred forty-two
Ordinal: 110142nd
Binary: 11010111000111110
Octal: 327076
Hexadecimal: 0x1AE3E
Base64: Aa4+
One's complement: 4,294,857,153 (32-bit)
Scientific notation: 1.10142 × 10⁵
As a duration: 110,142 s = 1 day, 6 hours, 35 minutes, 42 seconds

In other bases

ternary (3) 12121002100

quaternary (4) 122320332

quinary (5) 12011032

senary (6) 2205530

septenary (7) 636054

nonary (9) 177070

undecimal (11) 7582a

duodecimal (12) 538a6

tridecimal (13) 3b196

tetradecimal (14) 2c1d4

pentadecimal (15) 2297c

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ριρμβʹ
Mayan (base 20): 𝋭·𝋯·𝋧·𝋢
Chinese: 一十一萬零一百四十二
Chinese (financial): 壹拾壹萬零壹佰肆拾貳

In other modern scripts

Eastern Arabic ١١٠١٤٢ Devanagari ११०१४२ Bengali ১১০১৪২ Tamil ௧௧௦௧௪௨ Thai ๑๑๐๑๔๒ Tibetan ༡༡༠༡༤༢ Khmer ១១០១៤២ Lao ໑໑໐໑໔໒ Burmese ၁၁၀၁၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110142, here are decompositions:

13 + 110129 = 110142
23 + 110119 = 110142
59 + 110083 = 110142
73 + 110069 = 110142
79 + 110063 = 110142
83 + 110059 = 110142
103 + 110039 = 110142
181 + 109961 = 110142

Showing the first eight; more decompositions exist.

Hex color

#01AE3E

RGB(1, 174, 62)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.62.

Address: 0.1.174.62
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.174.62

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 110,142 and was likely granted around 1871.

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

Look up US110,142 on Google Patents ↗ Look up on USPTO ↗