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138,128

138,128 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.).

138,128 (one hundred thirty-eight thousand one hundred twenty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 89 × 97. Written other ways, in hexadecimal, 0x21B90.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
384
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
821,831
Recamán's sequence
a(492,571) = 138,128
Square (n²)
19,079,344,384
Cube (n³)
2,635,391,681,073,152
Divisor count
20
σ(n) — sum of divisors
273,420
φ(n) — Euler's totient
67,584
Sum of prime factors
194

Primality

Prime factorization: 2 4 × 89 × 97

Nearest primes: 138,113 (−15) · 138,139 (+11)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 89 · 97 · 178 · 194 · 356 · 388 · 712 · 776 · 1424 · 1552 · 8633 · 17266 · 34532 · 69064 (half) · 138128
Aliquot sum (sum of proper divisors): 135,292
Factor pairs (a × b = 138,128)
1 × 138128
2 × 69064
4 × 34532
8 × 17266
16 × 8633
89 × 1552
97 × 1424
178 × 776
194 × 712
356 × 388
First multiples
138,128 · 276,256 (double) · 414,384 · 552,512 · 690,640 · 828,768 · 966,896 · 1,105,024 · 1,243,152 · 1,381,280

Sums & aliquot sequence

As a sum of two squares: 52² + 368² = 208² + 308²
As consecutive integers: 4,301 + 4,302 + … + 4,332 1,508 + 1,509 + … + 1,596 1,376 + 1,377 + … + 1,472
Aliquot sequence: 138,128 135,292 104,108 88,924 88,484 80,524 64,124 62,884 49,116 65,516 59,644 59,524 49,340 54,316 43,572 58,124 52,924 — unresolved within range

Continued fraction of √n

√138,128 = [371; (1, 1, 1, 9, 1, 1, 15, 3, 2, 3, 1, 3, 1, 5, 2, 1, 5, 8, 5, 1, 2, 5, 1, 3, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand one hundred twenty-eight
Ordinal
138128th
Binary
100001101110010000
Octal
415620
Hexadecimal
0x21B90
Base64
AhuQ
One's complement
4,294,829,167 (32-bit)
Scientific notation
1.38128 × 10⁵
As a duration
138,128 s = 1 day, 14 hours, 22 minutes, 8 seconds
In other bases
ternary (3) 21000110212
quaternary (4) 201232100
quinary (5) 13410003
senary (6) 2543252
septenary (7) 1113464
nonary (9) 230425
undecimal (11) 94861
duodecimal (12) 67b28
tridecimal (13) 4ab43
tetradecimal (14) 384a4
pentadecimal (15) 2add8

As an angle

138,128° = 383 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληρκηʹ
Mayan (base 20)
𝋱·𝋥·𝋦·𝋨
Chinese
一十三萬八千一百二十八
Chinese (financial)
壹拾參萬捌仟壹佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٨١٢٨ Devanagari १३८१२८ Bengali ১৩৮১২৮ Tamil ௧௩௮௧௨௮ Thai ๑๓๘๑๒๘ Tibetan ༡༣༨༡༢༨ Khmer ១៣៨១២៨ Lao ໑໓໘໑໒໘ Burmese ၁၃၈၁၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138128, here are decompositions:

  • 181 + 137947 = 138128
  • 337 + 137791 = 138128
  • 421 + 137707 = 138128
  • 541 + 137587 = 138128
  • 691 + 137437 = 138128
  • 769 + 137359 = 138128
  • 787 + 137341 = 138128
  • 877 + 137251 = 138128

Showing the first eight; more decompositions exist.

Unicode codepoint
𡮐
CJK Unified Ideograph-21B90
U+21B90
Other letter (Lo)

UTF-8 encoding: F0 A1 AE 90 (4 bytes).

Hex color
#021B90
RGB(2, 27, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.144.

Address
0.2.27.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.144

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 138,128 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 138128 first appears in π at position 6,278 of the decimal expansion (the 6,278ordinal-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.