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140,400

140,400 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.).

140,400 (one hundred forty thousand four hundred) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3³ × 5² × 13. Its proper divisors sum to 397,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x22470.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
4,041
Recamán's sequence
a(488,027) = 140,400
Square (n²)
19,712,160,000
Cube (n³)
2,767,587,264,000,000
Divisor count
120
σ(n) — sum of divisors
538,160
φ(n) — Euler's totient
34,560
Sum of prime factors
40

Primality

Prime factorization: 2 4 × 3 3 × 5 2 × 13

Nearest primes: 140,381 (−19) · 140,401 (+1)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 13 · 15 · 16 · 18 · 20 · 24 · 25 · 26 · 27 · 30 · 36 · 39 · 40 · 45 · 48 · 50 · 52 · 54 · 60 · 65 · 72 · 75 · 78 · 80 · 90 · 100 · 104 · 108 · 117 · 120 · 130 · 135 · 144 · 150 · 156 · 180 · 195 · 200 · 208 · 216 · 225 · 234 · 240 · 260 · 270 · 300 · 312 · 325 · 351 · 360 · 390 · 400 · 432 · 450 · 468 · 520 · 540 · 585 · 600 · 624 · 650 · 675 · 702 · 720 · 780 · 900 · 936 · 975 · 1040 · 1080 · 1170 · 1200 · 1300 · 1350 · 1404 · 1560 · 1755 · 1800 · 1872 · 1950 · 2160 · 2340 · 2600 · 2700 · 2808 · 2925 · 3120 · 3510 · 3600 · 3900 · 4680 · 5200 · 5400 · 5616 · 5850 · 7020 · 7800 · 8775 · 9360 · 10800 · 11700 · 14040 · 15600 · 17550 · 23400 · 28080 · 35100 · 46800 · 70200 (half) · 140400
Aliquot sum (sum of proper divisors): 397,760
Factor pairs (a × b = 140,400)
1 × 140400
2 × 70200
3 × 46800
4 × 35100
5 × 28080
6 × 23400
8 × 17550
9 × 15600
10 × 14040
12 × 11700
13 × 10800
15 × 9360
16 × 8775
18 × 7800
20 × 7020
24 × 5850
25 × 5616
26 × 5400
27 × 5200
30 × 4680
36 × 3900
39 × 3600
40 × 3510
45 × 3120
48 × 2925
50 × 2808
52 × 2700
54 × 2600
60 × 2340
65 × 2160
72 × 1950
75 × 1872
78 × 1800
80 × 1755
90 × 1560
100 × 1404
104 × 1350
108 × 1300
117 × 1200
120 × 1170
130 × 1080
135 × 1040
144 × 975
150 × 936
156 × 900
180 × 780
195 × 720
200 × 702
208 × 675
216 × 650
225 × 624
234 × 600
240 × 585
260 × 540
270 × 520
300 × 468
312 × 450
325 × 432
351 × 400
360 × 390
First multiples
140,400 · 280,800 (double) · 421,200 · 561,600 · 702,000 · 842,400 · 982,800 · 1,123,200 · 1,263,600 · 1,404,000

Sums & aliquot sequence

As consecutive integers: 46,799 + 46,800 + 46,801 28,078 + 28,079 + 28,080 + 28,081 + 28,082 15,596 + 15,597 + … + 15,604 10,794 + 10,795 + … + 10,806
Aliquot sequence: 140,400 397,760 644,656 634,776 952,224 2,152,416 4,306,848 10,934,112 22,596,000 62,317,920 175,441,056 373,814,112 747,630,240 2,155,409,760 5,604,077,472 12,515,246,688 — keeps growing

Continued fraction of √n

√140,400 = [374; (1, 2, 3, 82, 1, 28, 1, 82, 3, 2, 1, 748)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred forty thousand four hundred
Ordinal
140400th
Binary
100010010001110000
Octal
422160
Hexadecimal
0x22470
Base64
AiRw
One's complement
4,294,826,895 (32-bit)
Scientific notation
1.404 × 10⁵
As a duration
140,400 s = 1 day, 15 hours
In other bases
ternary (3) 21010121000
quaternary (4) 202101300
quinary (5) 13443100
senary (6) 3002000
septenary (7) 1123221
nonary (9) 233530
undecimal (11) 96537
duodecimal (12) 69300
tridecimal (13) 4bba0
tetradecimal (14) 39248
pentadecimal (15) 2b900

As an angle

140,400° = 390 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρμυʹ
Mayan (base 20)
𝋱·𝋫·𝋠·𝋠
Chinese
一十四萬零四百
Chinese (financial)
壹拾肆萬零肆佰
In other modern scripts
Eastern Arabic ١٤٠٤٠٠ Devanagari १४०४०० Bengali ১৪০৪০০ Tamil ௧௪௦௪௦௦ Thai ๑๔๐๔๐๐ Tibetan ༡༤༠༤༠༠ Khmer ១៤០៤០០ Lao ໑໔໐໔໐໐ Burmese ၁၄၀၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 140400, here are decompositions:

  • 19 + 140381 = 140400
  • 37 + 140363 = 140400
  • 61 + 140339 = 140400
  • 67 + 140333 = 140400
  • 79 + 140321 = 140400
  • 83 + 140317 = 140400
  • 103 + 140297 = 140400
  • 131 + 140269 = 140400

Showing the first eight; more decompositions exist.

Unicode codepoint
𢑰
CJK Unified Ideograph-22470
U+22470
Other letter (Lo)

UTF-8 encoding: F0 A2 91 B0 (4 bytes).

Hex color
#022470
RGB(2, 36, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.36.112.

Address
0.2.36.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.36.112

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 140,400 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°.