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131,144

131,144 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.).
Abundant Number Happy Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
48
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
441,131
Square (n²)
17,198,748,736
Cube (n³)
2,255,512,704,233,984
Divisor count
24
σ(n) — sum of divisors
269,010
φ(n) — Euler's totient
59,904
Sum of prime factors
129

Primality

Prime factorization: 2 3 × 13 2 × 97

Nearest primes: 131,143 (−1) · 131,149 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 13 · 26 · 52 · 97 · 104 · 169 · 194 · 338 · 388 · 676 · 776 · 1261 · 1352 · 2522 · 5044 · 10088 · 16393 · 32786 · 65572 (half) · 131144
Aliquot sum (sum of proper divisors): 137,866
Factor pairs (a × b = 131,144)
1 × 131144
2 × 65572
4 × 32786
8 × 16393
13 × 10088
26 × 5044
52 × 2522
97 × 1352
104 × 1261
169 × 776
194 × 676
338 × 388
First multiples
131,144 · 262,288 (double) · 393,432 · 524,576 · 655,720 · 786,864 · 918,008 · 1,049,152 · 1,180,296 · 1,311,440

Sums & aliquot sequence

As a sum of two squares: 10² + 362² = 130² + 338² = 250² + 262²
As consecutive integers: 10,082 + 10,083 + … + 10,094 8,189 + 8,190 + … + 8,204 1,304 + 1,305 + … + 1,400 692 + 693 + … + 860
Aliquot sequence: 131,144 137,866 76,154 52,366 26,186 13,096 11,474 5,740 8,372 10,444 10,500 24,444 46,900 71,148 141,120 423,522 682,398 — unresolved within range

Continued fraction of √n

√131,144 = [362; (7, 4, 7, 724)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand one hundred forty-four
Ordinal
131144th
Binary
100000000001001000
Octal
400110
Hexadecimal
0x20048
Base64
AgBI
One's complement
4,294,836,151 (32-bit)
Scientific notation
1.31144 × 10⁵
As a duration
131,144 s = 1 day, 12 hours, 25 minutes, 44 seconds
In other bases
ternary (3) 20122220012
quaternary (4) 200001020
quinary (5) 13144034
senary (6) 2451052
septenary (7) 1054226
nonary (9) 218805
undecimal (11) 8a592
duodecimal (12) 63a88
tridecimal (13) 47900
tetradecimal (14) 35b16
pentadecimal (15) 28cce

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαρμδʹ
Mayan (base 20)
𝋰·𝋧·𝋱·𝋤
Chinese
一十三萬一千一百四十四
Chinese (financial)
壹拾參萬壹仟壹佰肆拾肆
In other modern scripts
Eastern Arabic ١٣١١٤٤ Devanagari १३११४४ Bengali ১৩১১৪৪ Tamil ௧௩௧௧௪௪ Thai ๑๓๑๑๔๔ Tibetan ༡༣༡༡༤༤ Khmer ១៣១១៤៤ Lao ໑໓໑໑໔໔ Burmese ၁၃၁၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131144, here are decompositions:

  • 31 + 131113 = 131144
  • 43 + 131101 = 131144
  • 73 + 131071 = 131144
  • 103 + 131041 = 131144
  • 157 + 130987 = 131144
  • 163 + 130981 = 131144
  • 271 + 130873 = 131144
  • 337 + 130807 = 131144

Showing the first eight; more decompositions exist.

Unicode codepoint
𠁈
CJK Unified Ideograph-20048
U+20048
Other letter (Lo)

UTF-8 encoding: F0 A0 81 88 (4 bytes).

Hex color
#020048
RGB(2, 0, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.72.

Address
0.2.0.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.72

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 131,144 and was likely granted around 1872.

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000131144
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 131144 first appears in π at position 406,730 of the decimal expansion (the 406,730ordinal-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.