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134,016

134,016 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.).

134,016 (one hundred thirty-four thousand sixteen) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 3 × 349. Its proper divisors sum to 222,984, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B80.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
610,431
Square (n²)
17,960,288,256
Cube (n³)
2,406,965,990,916,096
Divisor count
32
σ(n) — sum of divisors
357,000
φ(n) — Euler's totient
44,544
Sum of prime factors
366

Primality

Prime factorization: 2 7 × 3 × 349

Nearest primes: 133,999 (−17) · 134,033 (+17)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 128 · 192 · 349 · 384 · 698 · 1047 · 1396 · 2094 · 2792 · 4188 · 5584 · 8376 · 11168 · 16752 · 22336 · 33504 · 44672 · 67008 (half) · 134016
Aliquot sum (sum of proper divisors): 222,984
Factor pairs (a × b = 134,016)
1 × 134016
2 × 67008
3 × 44672
4 × 33504
6 × 22336
8 × 16752
12 × 11168
16 × 8376
24 × 5584
32 × 4188
48 × 2792
64 × 2094
96 × 1396
128 × 1047
192 × 698
349 × 384
First multiples
134,016 · 268,032 (double) · 402,048 · 536,064 · 670,080 · 804,096 · 938,112 · 1,072,128 · 1,206,144 · 1,340,160

Sums & aliquot sequence

As consecutive integers: 44,671 + 44,672 + 44,673 396 + 397 + … + 651 210 + 211 + … + 558
Aliquot sequence: 134,016 222,984 416,616 624,984 937,536 1,683,744 2,736,336 4,411,024 4,638,620 7,154,980 10,491,320 16,854,280 23,062,520 32,821,000 47,375,480 59,445,160 74,554,040 — unresolved within range

Continued fraction of √n

√134,016 = [366; (12, 4, 1, 28, 2, 14, 2, 4, 1, 1, 3, 3, 1, 1, 7, 2, 1, 1, 4, 1, 1, 9, 2, 12, …)]

Representations

In words
one hundred thirty-four thousand sixteen
Ordinal
134016th
Binary
100000101110000000
Octal
405600
Hexadecimal
0x20B80
Base64
AguA
One's complement
4,294,833,279 (32-bit)
Scientific notation
1.34016 × 10⁵
As a duration
134,016 s = 1 day, 13 hours, 13 minutes, 36 seconds
In other bases
ternary (3) 20210211120
quaternary (4) 200232000
quinary (5) 13242031
senary (6) 2512240
septenary (7) 1065501
nonary (9) 223746
undecimal (11) 91763
duodecimal (12) 65680
tridecimal (13) 48ccc
tetradecimal (14) 36ba8
pentadecimal (15) 29a96

As an angle

134,016° = 372 × 360° + 96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδιϛʹ
Mayan (base 20)
𝋰·𝋯·𝋠·𝋰
Chinese
一十三萬四千零一十六
Chinese (financial)
壹拾參萬肆仟零壹拾陸
In other modern scripts
Eastern Arabic ١٣٤٠١٦ Devanagari १३४०१६ Bengali ১৩৪০১৬ Tamil ௧௩௪௦௧௬ Thai ๑๓๔๐๑๖ Tibetan ༡༣༤༠༡༦ Khmer ១៣៤០១៦ Lao ໑໓໔໐໑໖ Burmese ၁၃၄၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134016, here are decompositions:

  • 17 + 133999 = 134016
  • 23 + 133993 = 134016
  • 37 + 133979 = 134016
  • 53 + 133963 = 134016
  • 67 + 133949 = 134016
  • 97 + 133919 = 134016
  • 139 + 133877 = 134016
  • 163 + 133853 = 134016

Showing the first eight; more decompositions exist.

Unicode codepoint
𠮀
CJK Unified Ideograph-20B80
U+20B80
Other letter (Lo)

UTF-8 encoding: F0 A0 AE 80 (4 bytes).

Hex color
#020B80
RGB(2, 11, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.128.

Address
0.2.11.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.128

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 134,016 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 134016 first appears in π at position 694,902 of the decimal expansion (the 694,902ordinal-suffix:nd 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°.