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138,016

138,016 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.).

138,016 (one hundred thirty-eight thousand sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 19 × 227. Its proper divisors sum to 149,264, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B20.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
610,831
Recamán's sequence
a(492,795) = 138,016
Square (n²)
19,048,416,256
Cube (n³)
2,628,986,217,988,096
Divisor count
24
σ(n) — sum of divisors
287,280
φ(n) — Euler's totient
65,088
Sum of prime factors
256

Primality

Prime factorization: 2 5 × 19 × 227

Nearest primes: 138,007 (−9) · 138,041 (+25)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 19 · 32 · 38 · 76 · 152 · 227 · 304 · 454 · 608 · 908 · 1816 · 3632 · 4313 · 7264 · 8626 · 17252 · 34504 · 69008 (half) · 138016
Aliquot sum (sum of proper divisors): 149,264
Factor pairs (a × b = 138,016)
1 × 138016
2 × 69008
4 × 34504
8 × 17252
16 × 8626
19 × 7264
32 × 4313
38 × 3632
76 × 1816
152 × 908
227 × 608
304 × 454
First multiples
138,016 · 276,032 (double) · 414,048 · 552,064 · 690,080 · 828,096 · 966,112 · 1,104,128 · 1,242,144 · 1,380,160

Sums & aliquot sequence

As consecutive integers: 7,255 + 7,256 + … + 7,273 2,125 + 2,126 + … + 2,188 495 + 496 + … + 721
Aliquot sequence: 138,016 149,264 155,776 154,814 107,842 77,054 40,666 20,336 21,328 22,320 55,056 95,728 96,720 236,592 459,792 881,392 882,384 — unresolved within range

Continued fraction of √n

√138,016 = [371; (1, 1, 49, 29, 1, 2, 2, 1, 48, 1, 5, 82, 2, 1, 1, 3, 5, 4, 2, 2, 1, 5, 1, 12, …)]

Representations

In words
one hundred thirty-eight thousand sixteen
Ordinal
138016th
Binary
100001101100100000
Octal
415440
Hexadecimal
0x21B20
Base64
Ahsg
One's complement
4,294,829,279 (32-bit)
Scientific notation
1.38016 × 10⁵
As a duration
138,016 s = 1 day, 14 hours, 20 minutes, 16 seconds
In other bases
ternary (3) 21000022201
quaternary (4) 201230200
quinary (5) 13404031
senary (6) 2542544
septenary (7) 1113244
nonary (9) 230281
undecimal (11) 9476a
duodecimal (12) 67a54
tridecimal (13) 4aa88
tetradecimal (14) 38424
pentadecimal (15) 2ad61

As an angle

138,016° = 383 × 360° + 136°
136° ≈ 2.374 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληιϛʹ
Mayan (base 20)
𝋱·𝋥·𝋠·𝋰
Chinese
一十三萬八千零一十六
Chinese (financial)
壹拾參萬捌仟零壹拾陸
In other modern scripts
Eastern Arabic ١٣٨٠١٦ Devanagari १३८०१६ Bengali ১৩৮০১৬ Tamil ௧௩௮௦௧௬ Thai ๑๓๘๐๑๖ Tibetan ༡༣༨༠༡༦ Khmer ១៣៨០១៦ Lao ໑໓໘໐໑໖ Burmese ၁၃၈၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138016, here are decompositions:

  • 17 + 137999 = 138016
  • 23 + 137993 = 138016
  • 59 + 137957 = 138016
  • 83 + 137933 = 138016
  • 89 + 137927 = 138016
  • 107 + 137909 = 138016
  • 149 + 137867 = 138016
  • 167 + 137849 = 138016

Showing the first eight; more decompositions exist.

Unicode codepoint
𡬠
CJK Unified Ideograph-21B20
U+21B20
Other letter (Lo)

UTF-8 encoding: F0 A1 AC A0 (4 bytes).

Hex color
#021B20
RGB(2, 27, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.32.

Address
0.2.27.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.32

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 138,016 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 138016 first appears in π at position 429,819 of the decimal expansion (the 429,819ordinal-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