Live analysis

120,042

120,042 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.).

120,042 (one hundred twenty thousand forty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3⁵ × 13 × 19. Its proper divisors sum to 185,718, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D4EA.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

120,030 120,031 120,032 120,033 120,034 120,035 120,036 120,037 120,038 120,039 120,040 120,041 120,042 120,043 120,044 120,045 120,046 120,047 120,048 120,049 120,050 120,051 120,052 120,053 120,054

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 240,021
Recamán's sequence: a(240,012) = 120,042
Square (n²): 14,410,081,764
Cube (n³): 1,729,815,035,114,088
Divisor count: 48
σ(n) — sum of divisors: 305,760
φ(n) — Euler's totient: 34,992
Sum of prime factors: 49

Primality

Prime factorization: 2 × 3 ⁵ × 13 × 19

Nearest primes: 120,041 (−1) · 120,047 (+5)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 6 · 9 · 13 · 18 · 19 · 26 · 27 · 38 · 39 · 54 · 57 · 78 · 81 · 114 · 117 · 162 · 171 · 234 · 243 · 247 · 342 · 351 · 486 · 494 · 513 · 702 · 741 · 1026 · 1053 · 1482 · 1539 · 2106 · 2223 · 3078 · 3159 · 4446 · 4617 · 6318 · 6669 · 9234 · 13338 · 20007 · 40014 · 60021 (half) · 120042

Aliquot sum (sum of proper divisors): 185,718

Factor pairs (a × b = 120,042)

1 × 120042

2 × 60021

3 × 40014

6 × 20007

9 × 13338

13 × 9234

18 × 6669

19 × 6318

26 × 4617

27 × 4446

38 × 3159

39 × 3078

54 × 2223

57 × 2106

78 × 1539

81 × 1482

114 × 1053

117 × 1026

162 × 741

171 × 702

234 × 513

243 × 494

247 × 486

342 × 351

First multiples

120,042 · 240,084 (double) · 360,126 · 480,168 · 600,210 · 720,252 · 840,294 · 960,336 · 1,080,378 · 1,200,420

Sums & aliquot sequence

As consecutive integers: 40,013 + 40,014 + 40,015 30,009 + 30,010 + 30,011 + 30,012 13,334 + 13,335 + … + 13,342 9,998 + 9,999 + … + 10,009

Aliquot sequence: 120,042 → 185,718 → 214,458 → 228,678 → 228,690 → 537,390 → 1,061,298 → 1,566,990 → 2,689,938 → 3,138,300 → 7,626,636 → 12,311,744 → 12,645,280 → 18,993,320 → 23,898,880 → 33,349,472 → 37,358,704 — unresolved within range

Continued fraction of √n

√120,042 = [346; (2, 8, 18, 8, 2, 692)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand forty-two
Ordinal: 120042nd
Binary: 11101010011101010
Octal: 352352
Hexadecimal: 0x1D4EA
Base64: AdTq
One's complement: 4,294,847,253 (32-bit)
Scientific notation: 1.20042 × 10⁵
As a duration: 120,042 s = 1 day, 9 hours, 20 minutes, 42 seconds

In other bases

ternary (3) 20002200000

quaternary (4) 131103222

quinary (5) 12320132

senary (6) 2323430

septenary (7) 1006656

nonary (9) 202600

undecimal (11) 8220a

duodecimal (12) 59576

tridecimal (13) 42840

tetradecimal (14) 31a66

pentadecimal (15) 2587c

As an angle

120,042° = 333 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρκμβʹ
Mayan (base 20): 𝋯·𝋠·𝋢·𝋢
Chinese: 一十二萬零四十二
Chinese (financial): 壹拾貳萬零肆拾貳

In other modern scripts

Eastern Arabic ١٢٠٠٤٢ Devanagari १२००४२ Bengali ১২০০৪২ Tamil ௧௨௦௦௪௨ Thai ๑๒๐๐๔๒ Tibetan ༡༢༠༠༤༢ Khmer ១២០០៤២ Lao ໑໒໐໐໔໒ Burmese ၁၂၀၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120042, here are decompositions:

31 + 120011 = 120042
59 + 119983 = 120042
61 + 119981 = 120042
71 + 119971 = 120042
79 + 119963 = 120042
89 + 119953 = 120042
113 + 119929 = 120042
151 + 119891 = 120042

Showing the first eight; more decompositions exist.

Unicode codepoint

𝓪

Mathematical Bold Script Small A

U+1D4EA

Lowercase letter (Ll)

UTF-8 encoding: F0 9D 93 AA (4 bytes).

Lookup U+1D4EA on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D4EA

RGB(1, 212, 234)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.234.

Address: 0.1.212.234
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.212.234

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 120,042 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 US120,042 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 120042 first appears in π at position 239,199 of the decimal expansion (the 239,199ordinal-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.

Look up 120042 on Pi Search ↗