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121,408

121,408 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.).

121,408 (one hundred twenty-one thousand four hundred eight) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 7 × 271. Its proper divisors sum to 154,944, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DA40.

Abundant Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
804,121
Square (n²)
14,739,902,464
Cube (n³)
1,789,542,078,349,312
Divisor count
28
σ(n) — sum of divisors
276,352
φ(n) — Euler's totient
51,840
Sum of prime factors
290

Primality

Prime factorization: 2 6 × 7 × 271

Nearest primes: 121,403 (−5) · 121,421 (+13)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 112 · 224 · 271 · 448 · 542 · 1084 · 1897 · 2168 · 3794 · 4336 · 7588 · 8672 · 15176 · 17344 · 30352 · 60704 (half) · 121408
Aliquot sum (sum of proper divisors): 154,944
Factor pairs (a × b = 121,408)
1 × 121408
2 × 60704
4 × 30352
7 × 17344
8 × 15176
14 × 8672
16 × 7588
28 × 4336
32 × 3794
56 × 2168
64 × 1897
112 × 1084
224 × 542
271 × 448
First multiples
121,408 · 242,816 (double) · 364,224 · 485,632 · 607,040 · 728,448 · 849,856 · 971,264 · 1,092,672 · 1,214,080

Sums & aliquot sequence

As consecutive integers: 17,341 + 17,342 + … + 17,347 885 + 886 + … + 1,012 313 + 314 + … + 583
Aliquot sequence: 121,408 154,944 290,826 349,398 549,162 640,728 1,254,672 2,257,070 2,067,250 1,803,110 1,442,506 913,694 501,154 259,886 165,418 111,638 55,822 — unresolved within range

Continued fraction of √n

√121,408 = [348; (2, 3, 2, 3, 2, 696)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand four hundred eight
Ordinal
121408th
Binary
11101101001000000
Octal
355100
Hexadecimal
0x1DA40
Base64
AdpA
One's complement
4,294,845,887 (32-bit)
Scientific notation
1.21408 × 10⁵
As a duration
121,408 s = 1 day, 9 hours, 43 minutes, 28 seconds
In other bases
ternary (3) 20011112121
quaternary (4) 131221000
quinary (5) 12341113
senary (6) 2334024
septenary (7) 1013650
nonary (9) 204477
undecimal (11) 83241
duodecimal (12) 5a314
tridecimal (13) 43351
tetradecimal (14) 32360
pentadecimal (15) 25e8d

As an angle

121,408° = 337 × 360° + 88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαυηʹ
Mayan (base 20)
𝋯·𝋣·𝋪·𝋨
Chinese
一十二萬一千四百零八
Chinese (financial)
壹拾貳萬壹仟肆佰零捌
In other modern scripts
Eastern Arabic ١٢١٤٠٨ Devanagari १२१४०८ Bengali ১২১৪০৮ Tamil ௧௨௧௪௦௮ Thai ๑๒๑๔๐๘ Tibetan ༡༢༡༤༠༨ Khmer ១២១៤០៨ Lao ໑໒໑໔໐໘ Burmese ၁၂၁၄၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121408, here are decompositions:

  • 5 + 121403 = 121408
  • 29 + 121379 = 121408
  • 41 + 121367 = 121408
  • 59 + 121349 = 121408
  • 137 + 121271 = 121408
  • 149 + 121259 = 121408
  • 179 + 121229 = 121408
  • 227 + 121181 = 121408

Showing the first eight; more decompositions exist.

Unicode codepoint
𝩀
Signwriting Mouth Smile Open
U+1DA40
Non-spacing mark (Mn)

UTF-8 encoding: F0 9D A9 80 (4 bytes).

Hex color
#01DA40
RGB(1, 218, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.64.

Address
0.1.218.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.64

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 121,408 and was likely granted around 1871.

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

Position in π

The digit sequence 121408 first appears in π at position 202,715 of the decimal expansion (the 202,715ordinal-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