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147,136

147,136 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.).

147,136 (one hundred forty-seven thousand one hundred thirty-six) is an even 6-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 11² × 19. Its proper divisors sum to 190,684, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23EC0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
504
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
631,741
Recamán's sequence
a(214,144) = 147,136
Square (n²)
21,649,002,496
Cube (n³)
3,185,347,631,251,456
Divisor count
42
σ(n) — sum of divisors
337,820
φ(n) — Euler's totient
63,360
Sum of prime factors
53

Primality

Prime factorization: 2 6 × 11 2 × 19

Nearest primes: 147,107 (−29) · 147,137 (+1)

Divisors & multiples

All divisors (42)
1 · 2 · 4 · 8 · 11 · 16 · 19 · 22 · 32 · 38 · 44 · 64 · 76 · 88 · 121 · 152 · 176 · 209 · 242 · 304 · 352 · 418 · 484 · 608 · 704 · 836 · 968 · 1216 · 1672 · 1936 · 2299 · 3344 · 3872 · 4598 · 6688 · 7744 · 9196 · 13376 · 18392 · 36784 · 73568 (half) · 147136
Aliquot sum (sum of proper divisors): 190,684
Factor pairs (a × b = 147,136)
1 × 147136
2 × 73568
4 × 36784
8 × 18392
11 × 13376
16 × 9196
19 × 7744
22 × 6688
32 × 4598
38 × 3872
44 × 3344
64 × 2299
76 × 1936
88 × 1672
121 × 1216
152 × 968
176 × 836
209 × 704
242 × 608
304 × 484
352 × 418
First multiples
147,136 · 294,272 (double) · 441,408 · 588,544 · 735,680 · 882,816 · 1,029,952 · 1,177,088 · 1,324,224 · 1,471,360

Sums & aliquot sequence

As consecutive integers: 13,371 + 13,372 + … + 13,381 7,735 + 7,736 + … + 7,753 1,156 + 1,157 + … + 1,276 1,086 + 1,087 + … + 1,213
Aliquot sequence: 147,136 190,684 189,556 142,174 74,474 42,166 23,354 11,680 16,292 12,226 6,116 5,644 4,940 6,820 9,308 8,332 6,256 — unresolved within range

Continued fraction of √n

√147,136 = [383; (1, 1, 2, 1, 1, 30, 9, 1, 2, 9, 4, 11, 1, 2, 1, 8, 1, 5, 2, 3, 1, 6, 1, 8, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-seven thousand one hundred thirty-six
Ordinal
147136th
Binary
100011111011000000
Octal
437300
Hexadecimal
0x23EC0
Base64
Aj7A
One's complement
4,294,820,159 (32-bit)
Scientific notation
1.47136 × 10⁵
As a duration
147,136 s = 1 day, 16 hours, 52 minutes, 16 seconds
In other bases
ternary (3) 21110211111
quaternary (4) 203323000
quinary (5) 14202021
senary (6) 3053104
septenary (7) 1151653
nonary (9) 243744
undecimal (11) a0600
duodecimal (12) 71194
tridecimal (13) 51c82
tetradecimal (14) 3b89a
pentadecimal (15) 2d8e1

As an angle

147,136° = 408 × 360° + 256°
256° ≈ 4.468 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμζρλϛʹ
Mayan (base 20)
𝋲·𝋧·𝋰·𝋰
Chinese
一十四萬七千一百三十六
Chinese (financial)
壹拾肆萬柒仟壹佰參拾陸
In other modern scripts
Eastern Arabic ١٤٧١٣٦ Devanagari १४७१३६ Bengali ১৪৭১৩৬ Tamil ௧௪௭௧௩௬ Thai ๑๔๗๑๓๖ Tibetan ༡༤༧༡༣༦ Khmer ១៤៧១៣៦ Lao ໑໔໗໑໓໖ Burmese ၁၄၇၁၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 147136, here are decompositions:

  • 29 + 147107 = 147136
  • 47 + 147089 = 147136
  • 53 + 147083 = 147136
  • 89 + 147047 = 147136
  • 107 + 147029 = 147136
  • 149 + 146987 = 147136
  • 293 + 146843 = 147136
  • 317 + 146819 = 147136

Showing the first eight; more decompositions exist.

Unicode codepoint
𣻀
CJK Unified Ideograph-23Ec0
U+23EC0
Other letter (Lo)

UTF-8 encoding: F0 A3 BB 80 (4 bytes).

Hex color
#023EC0
RGB(2, 62, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.62.192.

Address
0.2.62.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.62.192

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 147,136 and was likely granted around 1873.

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

Position in π

The digit sequence 147136 first appears in π at position 194,388 of the decimal expansion (the 194,388ordinal-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