number.wiki
Live analysis

134,420

134,420 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.).

134,420 (one hundred thirty-four thousand four hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 11 × 13 × 47. Its proper divisors sum to 204,268, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20D14.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
24,431
Square (n²)
18,068,736,400
Cube (n³)
2,428,799,546,888,000
Divisor count
48
σ(n) — sum of divisors
338,688
φ(n) — Euler's totient
44,160
Sum of prime factors
80

Primality

Prime factorization: 2 2 × 5 × 11 × 13 × 47

Nearest primes: 134,417 (−3) · 134,437 (+17)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 10 · 11 · 13 · 20 · 22 · 26 · 44 · 47 · 52 · 55 · 65 · 94 · 110 · 130 · 143 · 188 · 220 · 235 · 260 · 286 · 470 · 517 · 572 · 611 · 715 · 940 · 1034 · 1222 · 1430 · 2068 · 2444 · 2585 · 2860 · 3055 · 5170 · 6110 · 6721 · 10340 · 12220 · 13442 · 26884 · 33605 · 67210 (half) · 134420
Aliquot sum (sum of proper divisors): 204,268
Factor pairs (a × b = 134,420)
1 × 134420
2 × 67210
4 × 33605
5 × 26884
10 × 13442
11 × 12220
13 × 10340
20 × 6721
22 × 6110
26 × 5170
44 × 3055
47 × 2860
52 × 2585
55 × 2444
65 × 2068
94 × 1430
110 × 1222
130 × 1034
143 × 940
188 × 715
220 × 611
235 × 572
260 × 517
286 × 470
First multiples
134,420 · 268,840 (double) · 403,260 · 537,680 · 672,100 · 806,520 · 940,940 · 1,075,360 · 1,209,780 · 1,344,200

Sums & aliquot sequence

As consecutive integers: 26,882 + 26,883 + 26,884 + 26,885 + 26,886 16,799 + 16,800 + … + 16,806 12,215 + 12,216 + … + 12,225 10,334 + 10,335 + … + 10,346
Aliquot sequence: 134,420 204,268 156,372 215,244 343,076 261,724 204,476 190,660 209,768 214,012 160,516 120,394 70,874 35,440 47,144 43,576 44,624 — unresolved within range

Continued fraction of √n

√134,420 = [366; (1, 1, 1, 2, 1, 1, 1, 732)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand four hundred twenty
Ordinal
134420th
Binary
100000110100010100
Octal
406424
Hexadecimal
0x20D14
Base64
Ag0U
One's complement
4,294,832,875 (32-bit)
Scientific notation
1.3442 × 10⁵
As a duration
134,420 s = 1 day, 13 hours, 20 minutes, 20 seconds
In other bases
ternary (3) 20211101112
quaternary (4) 200310110
quinary (5) 13300140
senary (6) 2514152
septenary (7) 1066616
nonary (9) 224345
undecimal (11) 91aa0
duodecimal (12) 65958
tridecimal (13) 49250
tetradecimal (14) 36db6
pentadecimal (15) 29c65
Palindromic in base 6

As an angle

134,420° = 373 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλδυκʹ
Mayan (base 20)
𝋰·𝋰·𝋡·𝋠
Chinese
一十三萬四千四百二十
Chinese (financial)
壹拾參萬肆仟肆佰貳拾
In other modern scripts
Eastern Arabic ١٣٤٤٢٠ Devanagari १३४४२० Bengali ১৩৪৪২০ Tamil ௧௩௪௪௨௦ Thai ๑๓๔๔๒๐ Tibetan ༡༣༤༤༢༠ Khmer ១៣៤៤២០ Lao ໑໓໔໔໒໐ Burmese ၁၃၄၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134420, here are decompositions:

  • 3 + 134417 = 134420
  • 19 + 134401 = 134420
  • 61 + 134359 = 134420
  • 67 + 134353 = 134420
  • 79 + 134341 = 134420
  • 127 + 134293 = 134420
  • 151 + 134269 = 134420
  • 157 + 134263 = 134420

Showing the first eight; more decompositions exist.

Unicode codepoint
𠴔
CJK Unified Ideograph-20D14
U+20D14
Other letter (Lo)

UTF-8 encoding: F0 A0 B4 94 (4 bytes).

Hex color
#020D14
RGB(2, 13, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.13.20.

Address
0.2.13.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.13.20

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 134,420 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 134420 first appears in π at position 69,214 of the decimal expansion (the 69,214ordinal-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

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