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121,464

121,464 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.).

121,464 (one hundred twenty-one thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 7 × 241. Its proper divisors sum to 256,056, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DA78.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
192
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
464,121
Square (n²)
14,753,503,296
Cube (n³)
1,792,019,524,345,344
Divisor count
48
σ(n) — sum of divisors
377,520
φ(n) — Euler's totient
34,560
Sum of prime factors
260

Primality

Prime factorization: 2 3 × 3 2 × 7 × 241

Nearest primes: 121,453 (−11) · 121,469 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 28 · 36 · 42 · 56 · 63 · 72 · 84 · 126 · 168 · 241 · 252 · 482 · 504 · 723 · 964 · 1446 · 1687 · 1928 · 2169 · 2892 · 3374 · 4338 · 5061 · 5784 · 6748 · 8676 · 10122 · 13496 · 15183 · 17352 · 20244 · 30366 · 40488 · 60732 (half) · 121464
Aliquot sum (sum of proper divisors): 256,056
Factor pairs (a × b = 121,464)
1 × 121464
2 × 60732
3 × 40488
4 × 30366
6 × 20244
7 × 17352
8 × 15183
9 × 13496
12 × 10122
14 × 8676
18 × 6748
21 × 5784
24 × 5061
28 × 4338
36 × 3374
42 × 2892
56 × 2169
63 × 1928
72 × 1687
84 × 1446
126 × 964
168 × 723
241 × 504
252 × 482
First multiples
121,464 · 242,928 (double) · 364,392 · 485,856 · 607,320 · 728,784 · 850,248 · 971,712 · 1,093,176 · 1,214,640

Sums & aliquot sequence

As consecutive integers: 40,487 + 40,488 + 40,489 17,349 + 17,350 + … + 17,355 13,492 + 13,493 + … + 13,500 7,584 + 7,585 + … + 7,599
Aliquot sequence: 121,464 256,056 400,584 600,936 1,175,064 2,030,376 3,211,224 4,816,896 10,125,084 13,500,140 14,919,412 11,189,566 5,618,474 2,988,694 1,494,350 1,968,970 1,864,310 — unresolved within range

Continued fraction of √n

√121,464 = [348; (1, 1, 14, 3, 34, 1, 1, 9, 5, 1, 3, 27, 1, 1, 1, 1, 1, 2, 1, 76, 1, 2, 1, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand four hundred sixty-four
Ordinal
121464th
Binary
11101101001111000
Octal
355170
Hexadecimal
0x1DA78
Base64
Adp4
One's complement
4,294,845,831 (32-bit)
Scientific notation
1.21464 × 10⁵
As a duration
121,464 s = 1 day, 9 hours, 44 minutes, 24 seconds
In other bases
ternary (3) 20011121200
quaternary (4) 131221320
quinary (5) 12341324
senary (6) 2334200
septenary (7) 1014060
nonary (9) 204550
undecimal (11) 83292
duodecimal (12) 5a360
tridecimal (13) 43395
tetradecimal (14) 323a0
pentadecimal (15) 25ec9

As an angle

121,464° = 337 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαυξδʹ
Mayan (base 20)
𝋯·𝋣·𝋭·𝋤
Chinese
一十二萬一千四百六十四
Chinese (financial)
壹拾貳萬壹仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ١٢١٤٦٤ Devanagari १२१४६४ Bengali ১২১৪৬৪ Tamil ௧௨௧௪௬௪ Thai ๑๒๑๔๖๔ Tibetan ༡༢༡༤༦༤ Khmer ១២១៤៦៤ Lao ໑໒໑໔໖໔ Burmese ၁၂၁၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121464, here are decompositions:

  • 11 + 121453 = 121464
  • 17 + 121447 = 121464
  • 23 + 121441 = 121464
  • 43 + 121421 = 121464
  • 61 + 121403 = 121464
  • 97 + 121367 = 121464
  • 107 + 121357 = 121464
  • 113 + 121351 = 121464

Showing the first eight; more decompositions exist.

Unicode codepoint
𝩸
Signwriting Limb Length-2
U+1DA78
Other symbol (So)

UTF-8 encoding: F0 9D A9 B8 (4 bytes).

Hex color
#01DA78
RGB(1, 218, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.120.

Address
0.1.218.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.120

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 121,464 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 121464 first appears in π at position 435,337 of the decimal expansion (the 435,337ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.