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128,142

128,142 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.).

128,142 (one hundred twenty-eight thousand one hundred forty-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2 × 3⁴ × 7 × 113. Its proper divisors sum to 202,914, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F48E.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
128
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
241,821
Recamán's sequence
a(32,568) = 128,142
Square (n²)
16,420,372,164
Cube (n³)
2,104,139,329,839,288
Divisor count
40
σ(n) — sum of divisors
331,056
φ(n) — Euler's totient
36,288
Sum of prime factors
134

Primality

Prime factorization: 2 × 3 4 × 7 × 113

Nearest primes: 128,119 (−23) · 128,147 (+5)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 27 · 42 · 54 · 63 · 81 · 113 · 126 · 162 · 189 · 226 · 339 · 378 · 567 · 678 · 791 · 1017 · 1134 · 1582 · 2034 · 2373 · 3051 · 4746 · 6102 · 7119 · 9153 · 14238 · 18306 · 21357 · 42714 · 64071 (half) · 128142
Aliquot sum (sum of proper divisors): 202,914
Factor pairs (a × b = 128,142)
1 × 128142
2 × 64071
3 × 42714
6 × 21357
7 × 18306
9 × 14238
14 × 9153
18 × 7119
21 × 6102
27 × 4746
42 × 3051
54 × 2373
63 × 2034
81 × 1582
113 × 1134
126 × 1017
162 × 791
189 × 678
226 × 567
339 × 378
First multiples
128,142 · 256,284 (double) · 384,426 · 512,568 · 640,710 · 768,852 · 896,994 · 1,025,136 · 1,153,278 · 1,281,420

Sums & aliquot sequence

As consecutive integers: 42,713 + 42,714 + 42,715 32,034 + 32,035 + 32,036 + 32,037 18,303 + 18,304 + … + 18,309 14,234 + 14,235 + … + 14,242
Aliquot sequence: 128,142 202,914 236,772 361,826 186,058 99,962 51,430 44,330 52,438 27,194 13,600 21,554 13,306 6,656 7,666 3,836 3,892 — unresolved within range

Continued fraction of √n

√128,142 = [357; (1, 31, 1, 1, 5, 5, 1, 2, 1, 3, 2, 79, 9, 3, 1, 1, 50, 1, 1, 3, 9, 79, 2, 3, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-eight thousand one hundred forty-two
Ordinal
128142nd
Binary
11111010010001110
Octal
372216
Hexadecimal
0x1F48E
Base64
AfSO
One's complement
4,294,839,153 (32-bit)
Scientific notation
1.28142 × 10⁵
As a duration
128,142 s = 1 day, 11 hours, 35 minutes, 42 seconds
In other bases
ternary (3) 20111210000
quaternary (4) 133102032
quinary (5) 13100032
senary (6) 2425130
septenary (7) 1042410
nonary (9) 214700
undecimal (11) 88303
duodecimal (12) 621a6
tridecimal (13) 46431
tetradecimal (14) 349b0
pentadecimal (15) 27e7c

As an angle

128,142° = 355 × 360° + 342°
342° ≈ 5.969 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκηρμβʹ
Mayan (base 20)
𝋰·𝋠·𝋧·𝋢
Chinese
一十二萬八千一百四十二
Chinese (financial)
壹拾貳萬捌仟壹佰肆拾貳
In other modern scripts
Eastern Arabic ١٢٨١٤٢ Devanagari १२८१४२ Bengali ১২৮১৪২ Tamil ௧௨௮௧௪௨ Thai ๑๒๘๑๔๒ Tibetan ༡༢༨༡༤༢ Khmer ១២៨១៤២ Lao ໑໒໘໑໔໒ Burmese ၁၂၈၁၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128142, here are decompositions:

  • 23 + 128119 = 128142
  • 29 + 128113 = 128142
  • 31 + 128111 = 128142
  • 43 + 128099 = 128142
  • 89 + 128053 = 128142
  • 109 + 128033 = 128142
  • 163 + 127979 = 128142
  • 191 + 127951 = 128142

Showing the first eight; more decompositions exist.

Unicode codepoint
💎
Gem Stone
U+1F48E
Other symbol (So)

UTF-8 encoding: F0 9F 92 8E (4 bytes).

Hex color
#01F48E
RGB(1, 244, 142)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.244.142.

Address
0.1.244.142
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.244.142

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 128,142 and was likely granted around 1872.

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

Position in π

The digit sequence 128142 first appears in π at position 515,931 of the decimal expansion (the 515,931ordinal-suffix:st 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

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