Live analysis

120,144

120,144 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.).

120,144 (one hundred twenty thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,503. Its proper divisors sum to 190,352, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D550.

Abundant Number Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

120,132 120,133 120,134 120,135 120,136 120,137 120,138 120,139 120,140 120,141 120,142 120,143 120,144 120,145 120,146 120,147 120,148 120,149 120,150 120,151 120,152 120,153 120,154 120,155 120,156

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 441,021
Recamán's sequence: a(239,808) = 120,144
Square (n²): 14,434,580,736
Cube (n³): 1,734,228,267,945,984
Divisor count: 20
σ(n) — sum of divisors: 310,496
φ(n) — Euler's totient: 40,032
Sum of prime factors: 2,514

Primality

Prime factorization: 2 ⁴ × 3 × 2503

Nearest primes: 120,121 (−23) · 120,157 (+13)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 2503 · 5006 · 7509 · 10012 · 15018 · 20024 · 30036 · 40048 · 60072 (half) · 120144

Aliquot sum (sum of proper divisors): 190,352

Factor pairs (a × b = 120,144)

1 × 120144

2 × 60072

3 × 40048

4 × 30036

6 × 20024

8 × 15018

12 × 10012

16 × 7509

24 × 5006

48 × 2503

First multiples

120,144 · 240,288 (double) · 360,432 · 480,576 · 600,720 · 720,864 · 841,008 · 961,152 · 1,081,296 · 1,201,440

Sums & aliquot sequence

As consecutive integers: 40,047 + 40,048 + 40,049 3,739 + 3,740 + … + 3,770 1,204 + 1,205 + … + 1,299

Aliquot sequence: 120,144 → 190,352 → 178,486 → 178,634 → 89,320 → 169,880 → 227,560 → 284,540 → 329,332 → 251,024 → 253,036 → 262,472 → 318,328 → 278,552 → 243,748 → 182,818 → 123,902 — unresolved within range

Continued fraction of √n

√120,144 = [346; (1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 6, 1, 2, 1, 2, 1, 7, 1, 13, 1, 6, 2, …)]

Representations

In words: one hundred twenty thousand one hundred forty-four
Ordinal: 120144th
Binary: 11101010101010000
Octal: 352520
Hexadecimal: 0x1D550
Base64: AdVQ
One's complement: 4,294,847,151 (32-bit)
Scientific notation: 1.20144 × 10⁵
As a duration: 120,144 s = 1 day, 9 hours, 22 minutes, 24 seconds

In other bases

ternary (3) 20002210210

quaternary (4) 131111100

quinary (5) 12321034

senary (6) 2324120

septenary (7) 1010163

nonary (9) 202723

undecimal (11) 822a2

duodecimal (12) 59640

tridecimal (13) 428bb

tetradecimal (14) 31ada

pentadecimal (15) 258e9

As an angle

120,144° = 333 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκρμδʹ
Mayan (base 20): 𝋯·𝋠·𝋧·𝋤
Chinese: 一十二萬零一百四十四
Chinese (financial): 壹拾貳萬零壹佰肆拾肆

In other modern scripts

Eastern Arabic ١٢٠١٤٤ Devanagari १२०१४४ Bengali ১২০১৪৪ Tamil ௧௨௦௧௪௪ Thai ๑๒๐๑๔๔ Tibetan ༡༢༠༡༤༤ Khmer ១២០១៤៤ Lao ໑໒໐໑໔໔ Burmese ၁၂၀၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120144, here are decompositions:

23 + 120121 = 120144
41 + 120103 = 120144
47 + 120097 = 120144
53 + 120091 = 120144
67 + 120077 = 120144
97 + 120047 = 120144
103 + 120041 = 120144
127 + 120017 = 120144

Showing the first eight; more decompositions exist.

Unicode codepoint

𝕐

Mathematical Double-Struck Capital Y

U+1D550

Uppercase letter (Lu)

UTF-8 encoding: F0 9D 95 90 (4 bytes).

Lookup U+1D550 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D550

RGB(1, 213, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.80.

Address: 0.1.213.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.213.80

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 120,144 and was likely granted around 1871.

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

Look up US120,144 on Google Patents ↗ Look up on USPTO ↗