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136,448

136,448 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.).

136,448 (one hundred thirty-six thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 13 × 41. Its proper divisors sum to 164,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21500.

Abundant Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,304
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
844,631
Square (n²)
18,618,056,704
Cube (n³)
2,540,396,601,147,392
Divisor count
36
σ(n) — sum of divisors
300,468
φ(n) — Euler's totient
61,440
Sum of prime factors
70

Primality

Prime factorization: 2 8 × 13 × 41

Nearest primes: 136,447 (−1) · 136,453 (+5)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 41 · 52 · 64 · 82 · 104 · 128 · 164 · 208 · 256 · 328 · 416 · 533 · 656 · 832 · 1066 · 1312 · 1664 · 2132 · 2624 · 3328 · 4264 · 5248 · 8528 · 10496 · 17056 · 34112 · 68224 (half) · 136448
Aliquot sum (sum of proper divisors): 164,020
Factor pairs (a × b = 136,448)
1 × 136448
2 × 68224
4 × 34112
8 × 17056
13 × 10496
16 × 8528
26 × 5248
32 × 4264
41 × 3328
52 × 2624
64 × 2132
82 × 1664
104 × 1312
128 × 1066
164 × 832
208 × 656
256 × 533
328 × 416
First multiples
136,448 · 272,896 (double) · 409,344 · 545,792 · 682,240 · 818,688 · 955,136 · 1,091,584 · 1,228,032 · 1,364,480

Sums & aliquot sequence

As a sum of two squares: 32² + 368² = 112² + 352²
As consecutive integers: 10,490 + 10,491 + … + 10,502 3,308 + 3,309 + … + 3,348 11 + 12 + … + 522
Aliquot sequence: 136,448 164,020 188,780 207,700 264,492 452,308 350,592 677,568 1,115,672 976,228 902,530 817,910 672,490 819,350 923,098 587,462 298,138 — unresolved within range

Continued fraction of √n

√136,448 = [369; (2, 1, 1, 2, 1, 14, 2, 1, 4, 2, 31, 1, 2, 45, 1, 5, 7, 1, 6, 3, 2, 1, 1, 3, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand four hundred forty-eight
Ordinal
136448th
Binary
100001010100000000
Octal
412400
Hexadecimal
0x21500
Base64
AhUA
One's complement
4,294,830,847 (32-bit)
Scientific notation
1.36448 × 10⁵
As a duration
136,448 s = 1 day, 13 hours, 54 minutes, 8 seconds
In other bases
ternary (3) 20221011122
quaternary (4) 201110000
quinary (5) 13331243
senary (6) 2531412
septenary (7) 1105544
nonary (9) 227148
undecimal (11) 93574
duodecimal (12) 66b68
tridecimal (13) 4a150
tetradecimal (14) 37a24
pentadecimal (15) 2a668

As an angle

136,448° = 379 × 360° + 8°
8° ≈ 0.14 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛυμηʹ
Mayan (base 20)
𝋱·𝋡·𝋢·𝋨
Chinese
一十三萬六千四百四十八
Chinese (financial)
壹拾參萬陸仟肆佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٦٤٤٨ Devanagari १३६४४८ Bengali ১৩৬৪৪৮ Tamil ௧௩௬௪௪௮ Thai ๑๓๖๔๔๘ Tibetan ༡༣༦༤༤༨ Khmer ១៣៦៤៤៨ Lao ໑໓໖໔໔໘ Burmese ၁၃၆၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136448, here are decompositions:

  • 19 + 136429 = 136448
  • 31 + 136417 = 136448
  • 97 + 136351 = 136448
  • 139 + 136309 = 136448
  • 211 + 136237 = 136448
  • 241 + 136207 = 136448
  • 271 + 136177 = 136448
  • 337 + 136111 = 136448

Showing the first eight; more decompositions exist.

Unicode codepoint
𡔀
CJK Unified Ideograph-21500
U+21500
Other letter (Lo)

UTF-8 encoding: F0 A1 94 80 (4 bytes).

Hex color
#021500
RGB(2, 21, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.21.0.

Address
0.2.21.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.21.0

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 136,448 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 136448 first appears in π at position 194,391 of the decimal expansion (the 194,391ordinal-suffix:st 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.