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142,688

142,688 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.).

142,688 (one hundred forty-two thousand six hundred eighty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 7³ × 13. Its proper divisors sum to 210,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x22D60.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
3,072
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
886,241
Recamán's sequence
a(223,040) = 142,688
Square (n²)
20,359,865,344
Cube (n³)
2,905,108,466,204,672
Divisor count
48
σ(n) — sum of divisors
352,800
φ(n) — Euler's totient
56,448
Sum of prime factors
44

Primality

Prime factorization: 2 5 × 7 3 × 13

Nearest primes: 142,673 (−15) · 142,697 (+9)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 7 · 8 · 13 · 14 · 16 · 26 · 28 · 32 · 49 · 52 · 56 · 91 · 98 · 104 · 112 · 182 · 196 · 208 · 224 · 343 · 364 · 392 · 416 · 637 · 686 · 728 · 784 · 1274 · 1372 · 1456 · 1568 · 2548 · 2744 · 2912 · 4459 · 5096 · 5488 · 8918 · 10192 · 10976 · 17836 · 20384 · 35672 · 71344 (half) · 142688
Aliquot sum (sum of proper divisors): 210,112
Factor pairs (a × b = 142,688)
1 × 142688
2 × 71344
4 × 35672
7 × 20384
8 × 17836
13 × 10976
14 × 10192
16 × 8918
26 × 5488
28 × 5096
32 × 4459
49 × 2912
52 × 2744
56 × 2548
91 × 1568
98 × 1456
104 × 1372
112 × 1274
182 × 784
196 × 728
208 × 686
224 × 637
343 × 416
364 × 392
First multiples
142,688 · 285,376 (double) · 428,064 · 570,752 · 713,440 · 856,128 · 998,816 · 1,141,504 · 1,284,192 · 1,426,880

Sums & aliquot sequence

As consecutive integers: 20,381 + 20,382 + … + 20,387 10,970 + 10,971 + … + 10,982 2,888 + 2,889 + … + 2,936 2,198 + 2,199 + … + 2,261
Aliquot sequence: 142,688 210,112 282,140 310,396 240,756 321,036 453,108 623,212 472,988 354,748 271,724 203,800 270,500 321,364 241,030 192,842 118,714 — unresolved within range

Continued fraction of √n

√142,688 = [377; (1, 2, 1, 5, 1, 14, 1, 1, 3, 3, 1, 1, 3, 15, 7, 3, 1, 2, 2, 14, 1, 187, 1, 14, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-two thousand six hundred eighty-eight
Ordinal
142688th
Binary
100010110101100000
Octal
426540
Hexadecimal
0x22D60
Base64
Ai1g
One's complement
4,294,824,607 (32-bit)
Scientific notation
1.42688 × 10⁵
As a duration
142,688 s = 1 day, 15 hours, 38 minutes, 8 seconds
In other bases
ternary (3) 21020201202
quaternary (4) 202311200
quinary (5) 14031223
senary (6) 3020332
septenary (7) 1133000
nonary (9) 236652
undecimal (11) 98227
duodecimal (12) 6a6a8
tridecimal (13) 4cc40
tetradecimal (14) 3a000
pentadecimal (15) 2c428

As an angle

142,688° = 396 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμβχπηʹ
Mayan (base 20)
𝋱·𝋰·𝋮·𝋨
Chinese
一十四萬二千六百八十八
Chinese (financial)
壹拾肆萬貳仟陸佰捌拾捌
In other modern scripts
Eastern Arabic ١٤٢٦٨٨ Devanagari १४२६८८ Bengali ১৪২৬৮৮ Tamil ௧௪௨௬௮௮ Thai ๑๔๒๖๘๘ Tibetan ༡༤༢༦༨༨ Khmer ១៤២៦៨៨ Lao ໑໔໒໖໘໘ Burmese ၁၄၂၆၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 142688, here are decompositions:

  • 31 + 142657 = 142688
  • 79 + 142609 = 142688
  • 97 + 142591 = 142688
  • 151 + 142537 = 142688
  • 307 + 142381 = 142688
  • 331 + 142357 = 142688
  • 457 + 142231 = 142688
  • 499 + 142189 = 142688

Showing the first eight; more decompositions exist.

Unicode codepoint
𢵠
CJK Unified Ideograph-22D60
U+22D60
Other letter (Lo)

UTF-8 encoding: F0 A2 B5 A0 (4 bytes).

Hex color
#022D60
RGB(2, 45, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.45.96.

Address
0.2.45.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.45.96

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 142,688 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

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