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128,144

128,144 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.).

128,144 (one hundred twenty-eight thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 8,009. Written other ways, in hexadecimal, 0x1F490.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
256
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
441,821
Recamán's sequence
a(32,572) = 128,144
Square (n²)
16,420,884,736
Cube (n³)
2,104,237,853,609,984
Divisor count
10
σ(n) — sum of divisors
248,310
φ(n) — Euler's totient
64,064
Sum of prime factors
8,017

Primality

Prime factorization: 2 4 × 8009

Nearest primes: 128,119 (−25) · 128,147 (+3)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 8009 · 16018 · 32036 · 64072 (half) · 128144
Aliquot sum (sum of proper divisors): 120,166
Factor pairs (a × b = 128,144)
1 × 128144
2 × 64072
4 × 32036
8 × 16018
16 × 8009
First multiples
128,144 · 256,288 (double) · 384,432 · 512,576 · 640,720 · 768,864 · 897,008 · 1,025,152 · 1,153,296 · 1,281,440

Sums & aliquot sequence

As a sum of two squares: 112² + 340²
As consecutive integers: 3,989 + 3,990 + … + 4,020
Aliquot sequence: 128,144 120,166 60,086 37,018 19,430 17,290 23,030 26,218 13,112 13,888 18,624 31,160 44,440 65,720 89,800 119,450 102,820 — unresolved within range

Continued fraction of √n

√128,144 = [357; (1, 34, 1, 3, 1, 27, 1, 5, 4, 1, 5, 4, 1, 3, 3, 1, 4, 1, 4, 1, 4, 3, 1, 1, …)]

Representations

In words
one hundred twenty-eight thousand one hundred forty-four
Ordinal
128144th
Binary
11111010010010000
Octal
372220
Hexadecimal
0x1F490
Base64
AfSQ
One's complement
4,294,839,151 (32-bit)
Scientific notation
1.28144 × 10⁵
As a duration
128,144 s = 1 day, 11 hours, 35 minutes, 44 seconds
In other bases
ternary (3) 20111210002
quaternary (4) 133102100
quinary (5) 13100034
senary (6) 2425132
septenary (7) 1042412
nonary (9) 214702
undecimal (11) 88305
duodecimal (12) 621a8
tridecimal (13) 46433
tetradecimal (14) 349b2
pentadecimal (15) 27e7e

As an angle

128,144° = 355 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκηρμδʹ
Mayan (base 20)
𝋰·𝋠·𝋧·𝋤
Chinese
一十二萬八千一百四十四
Chinese (financial)
壹拾貳萬捌仟壹佰肆拾肆
In other modern scripts
Eastern Arabic ١٢٨١٤٤ Devanagari १२८१४४ Bengali ১২৮১৪৪ Tamil ௧௨௮௧௪௪ Thai ๑๒๘๑๔๔ Tibetan ༡༢༨༡༤༤ Khmer ១២៨១៤៤ Lao ໑໒໘໑໔໔ Burmese ၁၂၈၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128144, here are decompositions:

  • 31 + 128113 = 128144
  • 97 + 128047 = 128144
  • 193 + 127951 = 128144
  • 223 + 127921 = 128144
  • 271 + 127873 = 128144
  • 277 + 127867 = 128144
  • 307 + 127837 = 128144
  • 337 + 127807 = 128144

Showing the first eight; more decompositions exist.

Unicode codepoint
💐
Bouquet
U+1F490
Other symbol (So)

UTF-8 encoding: F0 9F 92 90 (4 bytes).

Hex color
#01F490
RGB(1, 244, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.244.144.

Address
0.1.244.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.244.144

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 128,144 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 128144 first appears in π at position 343,316 of the decimal expansion (the 343,316ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.