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129,138

129,138 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.).

129,138 (one hundred twenty-nine thousand one hundred thirty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 21,523. Its proper divisors sum to 129,150, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F872.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
432
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
831,921
Recamán's sequence
a(231,364) = 129,138
Square (n²)
16,676,623,044
Cube (n³)
2,153,585,746,656,072
Divisor count
8
σ(n) — sum of divisors
258,288
φ(n) — Euler's totient
43,044
Sum of prime factors
21,528

Primality

Prime factorization: 2 × 3 × 21523

Nearest primes: 129,127 (−11) · 129,169 (+31)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 21523 · 43046 · 64569 (half) · 129138
Aliquot sum (sum of proper divisors): 129,150
Factor pairs (a × b = 129,138)
1 × 129138
2 × 64569
3 × 43046
6 × 21523
First multiples
129,138 · 258,276 (double) · 387,414 · 516,552 · 645,690 · 774,828 · 903,966 · 1,033,104 · 1,162,242 · 1,291,380

Sums & aliquot sequence

As consecutive integers: 43,045 + 43,046 + 43,047 32,283 + 32,284 + 32,285 + 32,286 10,756 + 10,757 + … + 10,767
Aliquot sequence: 129,138 129,150 277,074 427,566 427,578 427,590 684,378 813,690 1,302,138 1,519,200 3,863,268 6,152,892 8,203,884 12,907,668 18,308,972 17,891,836 14,429,124 — unresolved within range

Continued fraction of √n

√129,138 = [359; (2, 1, 3, 1, 7, 2, 9, 1, 1, 1, 7, 2, 2, 1, 1, 1, 1, 2, 50, 1, 20, 1, 3, 1, …)]

Representations

In words
one hundred twenty-nine thousand one hundred thirty-eight
Ordinal
129138th
Binary
11111100001110010
Octal
374162
Hexadecimal
0x1F872
Base64
Afhy
One's complement
4,294,838,157 (32-bit)
Scientific notation
1.29138 × 10⁵
As a duration
129,138 s = 1 day, 11 hours, 52 minutes, 18 seconds
In other bases
ternary (3) 20120010220
quaternary (4) 133201302
quinary (5) 13113023
senary (6) 2433510
septenary (7) 1045332
nonary (9) 216126
undecimal (11) 89029
duodecimal (12) 62896
tridecimal (13) 46a19
tetradecimal (14) 350c2
pentadecimal (15) 283e3

As an angle

129,138° = 358 × 360° + 258°
258° ≈ 4.503 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκθρληʹ
Mayan (base 20)
𝋰·𝋢·𝋰·𝋲
Chinese
一十二萬九千一百三十八
Chinese (financial)
壹拾貳萬玖仟壹佰參拾捌
In other modern scripts
Eastern Arabic ١٢٩١٣٨ Devanagari १२९१३८ Bengali ১২৯১৩৮ Tamil ௧௨௯௧௩௮ Thai ๑๒๙๑๓๘ Tibetan ༡༢༩༡༣༨ Khmer ១២៩១៣៨ Lao ໑໒໙໑໓໘ Burmese ၁၂၉၁၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 129138, here are decompositions:

  • 11 + 129127 = 129138
  • 17 + 129121 = 129138
  • 19 + 129119 = 129138
  • 41 + 129097 = 129138
  • 89 + 129049 = 129138
  • 101 + 129037 = 129138
  • 127 + 129011 = 129138
  • 137 + 129001 = 129138

Showing the first eight; more decompositions exist.

Unicode codepoint
🡲
Wide-Headed Rightwards Medium Barb Arrow
U+1F872
Other symbol (So)

UTF-8 encoding: F0 9F A1 B2 (4 bytes).

Hex color
#01F872
RGB(1, 248, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.248.114.

Address
0.1.248.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.248.114

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 129,138 and was likely granted around 1872.

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

Position in π

The digit sequence 129138 first appears in π at position 140,720 of the decimal expansion (the 140,720ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.