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142,800

142,800 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.).

142,800 (one hundred forty-two thousand eight hundred) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3 × 5² × 7 × 17. Its proper divisors sum to 410,736, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x22DD0.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
8,241
Recamán's sequence
a(222,816) = 142,800
Square (n²)
20,391,840,000
Cube (n³)
2,911,954,752,000,000
Divisor count
120
σ(n) — sum of divisors
553,536
φ(n) — Euler's totient
30,720
Sum of prime factors
45

Primality

Prime factorization: 2 4 × 3 × 5 2 × 7 × 17

Nearest primes: 142,799 (−1) · 142,811 (+11)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 17 · 20 · 21 · 24 · 25 · 28 · 30 · 34 · 35 · 40 · 42 · 48 · 50 · 51 · 56 · 60 · 68 · 70 · 75 · 80 · 84 · 85 · 100 · 102 · 105 · 112 · 119 · 120 · 136 · 140 · 150 · 168 · 170 · 175 · 200 · 204 · 210 · 238 · 240 · 255 · 272 · 280 · 300 · 336 · 340 · 350 · 357 · 400 · 408 · 420 · 425 · 476 · 510 · 525 · 560 · 595 · 600 · 680 · 700 · 714 · 816 · 840 · 850 · 952 · 1020 · 1050 · 1190 · 1200 · 1275 · 1360 · 1400 · 1428 · 1680 · 1700 · 1785 · 1904 · 2040 · 2100 · 2380 · 2550 · 2800 · 2856 · 2975 · 3400 · 3570 · 4080 · 4200 · 4760 · 5100 · 5712 · 5950 · 6800 · 7140 · 8400 · 8925 · 9520 · 10200 · 11900 · 14280 · 17850 · 20400 · 23800 · 28560 · 35700 · 47600 · 71400 (half) · 142800
Aliquot sum (sum of proper divisors): 410,736
Factor pairs (a × b = 142,800)
1 × 142800
2 × 71400
3 × 47600
4 × 35700
5 × 28560
6 × 23800
7 × 20400
8 × 17850
10 × 14280
12 × 11900
14 × 10200
15 × 9520
16 × 8925
17 × 8400
20 × 7140
21 × 6800
24 × 5950
25 × 5712
28 × 5100
30 × 4760
34 × 4200
35 × 4080
40 × 3570
42 × 3400
48 × 2975
50 × 2856
51 × 2800
56 × 2550
60 × 2380
68 × 2100
70 × 2040
75 × 1904
80 × 1785
84 × 1700
85 × 1680
100 × 1428
102 × 1400
105 × 1360
112 × 1275
119 × 1200
120 × 1190
136 × 1050
140 × 1020
150 × 952
168 × 850
170 × 840
175 × 816
200 × 714
204 × 700
210 × 680
238 × 600
240 × 595
255 × 560
272 × 525
280 × 510
300 × 476
336 × 425
340 × 420
350 × 408
357 × 400
First multiples
142,800 · 285,600 (double) · 428,400 · 571,200 · 714,000 · 856,800 · 999,600 · 1,142,400 · 1,285,200 · 1,428,000

Sums & aliquot sequence

As consecutive integers: 47,599 + 47,600 + 47,601 28,558 + 28,559 + 28,560 + 28,561 + 28,562 20,397 + 20,398 + … + 20,403 9,513 + 9,514 + … + 9,527
Aliquot sequence: 142,800 410,736 680,464 658,736 716,176 753,596 571,756 428,824 456,956 354,484 354,644 265,990 221,162 110,584 106,136 92,884 84,524 — unresolved within range

Continued fraction of √n

√142,800 = [377; (1, 7, 1, 754)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-two thousand eight hundred
Ordinal
142800th
Binary
100010110111010000
Octal
426720
Hexadecimal
0x22DD0
Base64
Ai3Q
One's complement
4,294,824,495 (32-bit)
Scientific notation
1.428 × 10⁵
As a duration
142,800 s = 1 day, 15 hours, 40 minutes
In other bases
ternary (3) 21020212220
quaternary (4) 202313100
quinary (5) 14032200
senary (6) 3021040
septenary (7) 1133220
nonary (9) 236786
undecimal (11) 98319
duodecimal (12) 6a780
tridecimal (13) 4ccc8
tetradecimal (14) 3a080
pentadecimal (15) 2c4a0

As an angle

142,800° = 396 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρμβωʹ
Mayan (base 20)
𝋱·𝋱·𝋠·𝋠
Chinese
一十四萬二千八百
Chinese (financial)
壹拾肆萬貳仟捌佰
In other modern scripts
Eastern Arabic ١٤٢٨٠٠ Devanagari १४२८०० Bengali ১৪২৮০০ Tamil ௧௪௨௮௦௦ Thai ๑๔๒๘๐๐ Tibetan ༡༤༢༨༠༠ Khmer ១៤២៨០០ Lao ໑໔໒໘໐໐ Burmese ၁၄၂၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 142800, here are decompositions:

  • 11 + 142789 = 142800
  • 13 + 142787 = 142800
  • 29 + 142771 = 142800
  • 41 + 142759 = 142800
  • 43 + 142757 = 142800
  • 67 + 142733 = 142800
  • 89 + 142711 = 142800
  • 101 + 142699 = 142800

Showing the first eight; more decompositions exist.

Unicode codepoint
𢷐
CJK Unified Ideograph-22Dd0
U+22DD0
Other letter (Lo)

UTF-8 encoding: F0 A2 B7 90 (4 bytes).

Hex color
#022DD0
RGB(2, 45, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.45.208.

Address
0.2.45.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.45.208

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 142,800 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°.