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142,272

142,272 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.).

142,272 (one hundred forty-two thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3² × 13 × 19. Its proper divisors sum to 320,008, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x22BC0.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
224
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
272,241
Recamán's sequence
a(39,856) = 142,272
Square (n²)
20,241,321,984
Cube (n³)
2,879,773,361,307,648
Divisor count
84
σ(n) — sum of divisors
462,280
φ(n) — Euler's totient
41,472
Sum of prime factors
50

Primality

Prime factorization: 2 6 × 3 2 × 13 × 19

Nearest primes: 142,271 (−1) · 142,297 (+25)

Divisors & multiples

All divisors (84)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 16 · 18 · 19 · 24 · 26 · 32 · 36 · 38 · 39 · 48 · 52 · 57 · 64 · 72 · 76 · 78 · 96 · 104 · 114 · 117 · 144 · 152 · 156 · 171 · 192 · 208 · 228 · 234 · 247 · 288 · 304 · 312 · 342 · 416 · 456 · 468 · 494 · 576 · 608 · 624 · 684 · 741 · 832 · 912 · 936 · 988 · 1216 · 1248 · 1368 · 1482 · 1824 · 1872 · 1976 · 2223 · 2496 · 2736 · 2964 · 3648 · 3744 · 3952 · 4446 · 5472 · 5928 · 7488 · 7904 · 8892 · 10944 · 11856 · 15808 · 17784 · 23712 · 35568 · 47424 · 71136 (half) · 142272
Aliquot sum (sum of proper divisors): 320,008
Factor pairs (a × b = 142,272)
1 × 142272
2 × 71136
3 × 47424
4 × 35568
6 × 23712
8 × 17784
9 × 15808
12 × 11856
13 × 10944
16 × 8892
18 × 7904
19 × 7488
24 × 5928
26 × 5472
32 × 4446
36 × 3952
38 × 3744
39 × 3648
48 × 2964
52 × 2736
57 × 2496
64 × 2223
72 × 1976
76 × 1872
78 × 1824
96 × 1482
104 × 1368
114 × 1248
117 × 1216
144 × 988
152 × 936
156 × 912
171 × 832
192 × 741
208 × 684
228 × 624
234 × 608
247 × 576
288 × 494
304 × 468
312 × 456
342 × 416
First multiples
142,272 · 284,544 (double) · 426,816 · 569,088 · 711,360 · 853,632 · 995,904 · 1,138,176 · 1,280,448 · 1,422,720

Sums & aliquot sequence

As consecutive integers: 47,423 + 47,424 + 47,425 15,804 + 15,805 + … + 15,812 10,938 + 10,939 + … + 10,950 7,479 + 7,480 + … + 7,497
Aliquot sequence: 142,272 320,008 367,952 439,288 404,192 439,504 477,972 937,260 1,998,036 3,052,646 1,544,914 1,123,694 857,026 529,982 264,994 143,354 73,306 — unresolved within range

Continued fraction of √n

√142,272 = [377; (5, 3, 1, 1, 1, 5, 1, 1, 2, 11, 2, 1, 1, 5, 1, 1, 1, 3, 5, 754)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-two thousand two hundred seventy-two
Ordinal
142272nd
Binary
100010101111000000
Octal
425700
Hexadecimal
0x22BC0
Base64
AivA
One's complement
4,294,825,023 (32-bit)
Scientific notation
1.42272 × 10⁵
As a duration
142,272 s = 1 day, 15 hours, 31 minutes, 12 seconds
In other bases
ternary (3) 21020011100
quaternary (4) 202233000
quinary (5) 14023042
senary (6) 3014400
septenary (7) 1131534
nonary (9) 236140
undecimal (11) 97989
duodecimal (12) 6a400
tridecimal (13) 4c9b0
tetradecimal (14) 39bc4
pentadecimal (15) 2c24c

As an angle

142,272° = 395 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρμβσοβʹ
Mayan (base 20)
𝋱·𝋯·𝋭·𝋬
Chinese
一十四萬二千二百七十二
Chinese (financial)
壹拾肆萬貳仟貳佰柒拾貳
In other modern scripts
Eastern Arabic ١٤٢٢٧٢ Devanagari १४२२७२ Bengali ১৪২২৭২ Tamil ௧௪௨௨௭௨ Thai ๑๔๒๒๗๒ Tibetan ༡༤༢༢༧༢ Khmer ១៤២២៧២ Lao ໑໔໒໒໗໒ Burmese ၁၄၂၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 142272, here are decompositions:

  • 41 + 142231 = 142272
  • 61 + 142211 = 142272
  • 79 + 142193 = 142272
  • 83 + 142189 = 142272
  • 89 + 142183 = 142272
  • 103 + 142169 = 142272
  • 113 + 142159 = 142272
  • 149 + 142123 = 142272

Showing the first eight; more decompositions exist.

Unicode codepoint
𢯀
CJK Unified Ideograph-22Bc0
U+22BC0
Other letter (Lo)

UTF-8 encoding: F0 A2 AF 80 (4 bytes).

Hex color
#022BC0
RGB(2, 43, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.43.192.

Address
0.2.43.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.43.192

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 142,272 and was likely granted around 1872.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.