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131,040

131,040 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 Arithmetic Number Evil Number Gapful Number Harshad / Niven Highly Abundant Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
40,131
Square (n²)
17,171,481,600
Cube (n³)
2,250,150,948,864,000
Divisor count
144
σ(n) — sum of divisors
550,368
φ(n) — Euler's totient
27,648
Sum of prime factors
41

Primality

Prime factorization: 2 5 × 3 2 × 5 × 7 × 13

Nearest primes: 131,023 (−17) · 131,041 (+1)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 13 · 14 · 15 · 16 · 18 · 20 · 21 · 24 · 26 · 28 · 30 · 32 · 35 · 36 · 39 · 40 · 42 · 45 · 48 · 52 · 56 · 60 · 63 · 65 · 70 · 72 · 78 · 80 · 84 · 90 · 91 · 96 · 104 · 105 · 112 · 117 · 120 · 126 · 130 · 140 · 144 · 156 · 160 · 168 · 180 · 182 · 195 · 208 · 210 · 224 · 234 · 240 · 252 · 260 · 273 · 280 · 288 · 312 · 315 · 336 · 360 · 364 · 390 · 416 · 420 · 455 · 468 · 480 · 504 · 520 · 546 · 560 · 585 · 624 · 630 · 672 · 720 · 728 · 780 · 819 · 840 · 910 · 936 · 1008 · 1040 · 1092 · 1120 · 1170 · 1248 · 1260 · 1365 · 1440 · 1456 · 1560 · 1638 · 1680 · 1820 · 1872 · 2016 · 2080 · 2184 · 2340 · 2520 · 2730 · 2912 · 3120 · 3276 · 3360 · 3640 · 3744 · 4095 · 4368 · 4680 · 5040 · 5460 · 6240 · 6552 · 7280 · 8190 · 8736 · 9360 · 10080 · 10920 · 13104 · 14560 · 16380 · 18720 · 21840 · 26208 · 32760 · 43680 · 65520 (half) · 131040
Aliquot sum (sum of proper divisors): 419,328
Factor pairs (a × b = 131,040)
1 × 131040
2 × 65520
3 × 43680
4 × 32760
5 × 26208
6 × 21840
7 × 18720
8 × 16380
9 × 14560
10 × 13104
12 × 10920
13 × 10080
14 × 9360
15 × 8736
16 × 8190
18 × 7280
20 × 6552
21 × 6240
24 × 5460
26 × 5040
28 × 4680
30 × 4368
32 × 4095
35 × 3744
36 × 3640
39 × 3360
40 × 3276
42 × 3120
45 × 2912
48 × 2730
52 × 2520
56 × 2340
60 × 2184
63 × 2080
65 × 2016
70 × 1872
72 × 1820
78 × 1680
80 × 1638
84 × 1560
90 × 1456
91 × 1440
96 × 1365
104 × 1260
105 × 1248
112 × 1170
117 × 1120
120 × 1092
126 × 1040
130 × 1008
140 × 936
144 × 910
156 × 840
160 × 819
168 × 780
180 × 728
182 × 720
195 × 672
208 × 630
210 × 624
224 × 585
234 × 560
240 × 546
252 × 520
260 × 504
273 × 480
280 × 468
288 × 455
312 × 420
315 × 416
336 × 390
360 × 364
First multiples
131,040 · 262,080 (double) · 393,120 · 524,160 · 655,200 · 786,240 · 917,280 · 1,048,320 · 1,179,360 · 1,310,400

Sums & aliquot sequence

As consecutive integers: 43,679 + 43,680 + 43,681 26,206 + 26,207 + 26,208 + 26,209 + 26,210 18,717 + 18,718 + … + 18,723 14,556 + 14,557 + … + 14,564
Aliquot sequence: 131,040 419,328 1,070,160 3,096,240 8,569,680 21,797,424 48,046,196 46,167,280 62,142,752 85,912,288 142,130,576 180,170,224 214,398,272 269,941,120 375,388,400 543,550,552 476,365,448 — unresolved within range

Continued fraction of √n

√131,040 = [361; (1, 179, 1, 722)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand forty
Ordinal
131040th
Binary
11111111111100000
Octal
377740
Hexadecimal
0x1FFE0
Base64
Af/g
One's complement
4,294,836,255 (32-bit)
Scientific notation
1.3104 × 10⁵
As a duration
131,040 s = 1 day, 12 hours, 24 minutes
In other bases
ternary (3) 20122202100
quaternary (4) 133333200
quinary (5) 13143130
senary (6) 2450400
septenary (7) 1054020
nonary (9) 218670
undecimal (11) 8a4a8
duodecimal (12) 63a00
tridecimal (13) 47850
tetradecimal (14) 35a80
pentadecimal (15) 28c60
Palindromic in base 11

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλαμʹ
Mayan (base 20)
𝋰·𝋧·𝋬·𝋠
Chinese
一十三萬一千零四十
Chinese (financial)
壹拾參萬壹仟零肆拾
In other modern scripts
Eastern Arabic ١٣١٠٤٠ Devanagari १३१०४० Bengali ১৩১০৪০ Tamil ௧௩௧௦௪௦ Thai ๑๓๑๐๔๐ Tibetan ༡༣༡༠༤༠ Khmer ១៣១០៤០ Lao ໑໓໑໐໔໐ Burmese ၁၃၁၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131040, here are decompositions:

  • 17 + 131023 = 131040
  • 29 + 131011 = 131040
  • 31 + 131009 = 131040
  • 53 + 130987 = 131040
  • 59 + 130981 = 131040
  • 67 + 130973 = 131040
  • 71 + 130969 = 131040
  • 83 + 130957 = 131040

Showing the first eight; more decompositions exist.

Hex color
#01FFE0
RGB(1, 255, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.255.224.

Address
0.1.255.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.255.224

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 131,040 and was likely granted around 1872.

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