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144,320

144,320 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.).

144,320 (one hundred forty-four thousand three hundred twenty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 11 × 41. Its proper divisors sum to 239,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x233C0.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
23,441
Recamán's sequence
a(219,776) = 144,320
Square (n²)
20,828,262,400
Cube (n³)
3,005,934,829,568,000
Divisor count
56
σ(n) — sum of divisors
384,048
φ(n) — Euler's totient
51,200
Sum of prime factors
69

Primality

Prime factorization: 2 6 × 5 × 11 × 41

Nearest primes: 144,311 (−9) · 144,323 (+3)

Divisors & multiples

All divisors (56)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 32 · 40 · 41 · 44 · 55 · 64 · 80 · 82 · 88 · 110 · 160 · 164 · 176 · 205 · 220 · 320 · 328 · 352 · 410 · 440 · 451 · 656 · 704 · 820 · 880 · 902 · 1312 · 1640 · 1760 · 1804 · 2255 · 2624 · 3280 · 3520 · 3608 · 4510 · 6560 · 7216 · 9020 · 13120 · 14432 · 18040 · 28864 · 36080 · 72160 (half) · 144320
Aliquot sum (sum of proper divisors): 239,728
Factor pairs (a × b = 144,320)
1 × 144320
2 × 72160
4 × 36080
5 × 28864
8 × 18040
10 × 14432
11 × 13120
16 × 9020
20 × 7216
22 × 6560
32 × 4510
40 × 3608
41 × 3520
44 × 3280
55 × 2624
64 × 2255
80 × 1804
82 × 1760
88 × 1640
110 × 1312
160 × 902
164 × 880
176 × 820
205 × 704
220 × 656
320 × 451
328 × 440
352 × 410
First multiples
144,320 · 288,640 (double) · 432,960 · 577,280 · 721,600 · 865,920 · 1,010,240 · 1,154,560 · 1,298,880 · 1,443,200

Sums & aliquot sequence

As consecutive integers: 28,862 + 28,863 + 28,864 + 28,865 + 28,866 13,115 + 13,116 + … + 13,125 3,500 + 3,501 + … + 3,540 2,597 + 2,598 + … + 2,651
Aliquot sequence: 144,320 239,728 224,776 196,694 98,350 111,458 63,070 76,898 38,452 28,846 14,426 7,216 8,408 7,372 6,348 9,136 8,596 — unresolved within range

Continued fraction of √n

√144,320 = [379; (1, 8, 2, 189, 2, 8, 1, 758)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-four thousand three hundred twenty
Ordinal
144320th
Binary
100011001111000000
Octal
431700
Hexadecimal
0x233C0
Base64
AjPA
One's complement
4,294,822,975 (32-bit)
Scientific notation
1.4432 × 10⁵
As a duration
144,320 s = 1 day, 16 hours, 5 minutes, 20 seconds
In other bases
ternary (3) 21022222012
quaternary (4) 203033000
quinary (5) 14104240
senary (6) 3032052
septenary (7) 1140521
nonary (9) 238865
undecimal (11) 99480
duodecimal (12) 6b628
tridecimal (13) 508c7
tetradecimal (14) 3a848
pentadecimal (15) 2cb65
Palindromic in base 3

As an angle

144,320° = 400 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρμδτκʹ
Mayan (base 20)
𝋲·𝋠·𝋰·𝋠
Chinese
一十四萬四千三百二十
Chinese (financial)
壹拾肆萬肆仟參佰貳拾
In other modern scripts
Eastern Arabic ١٤٤٣٢٠ Devanagari १४४३२० Bengali ১৪৪৩২০ Tamil ௧௪௪௩௨௦ Thai ๑๔๔๓๒๐ Tibetan ༡༤༤༣༢༠ Khmer ១៤៤៣២០ Lao ໑໔໔໓໒໐ Burmese ၁၄၄၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 144320, here are decompositions:

  • 13 + 144307 = 144320
  • 31 + 144289 = 144320
  • 61 + 144259 = 144320
  • 67 + 144253 = 144320
  • 73 + 144247 = 144320
  • 79 + 144241 = 144320
  • 97 + 144223 = 144320
  • 151 + 144169 = 144320

Showing the first eight; more decompositions exist.

Unicode codepoint
𣏀
CJK Unified Ideograph-233C0
U+233C0
Other letter (Lo)

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

Hex color
#0233C0
RGB(2, 51, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.51.192.

Address
0.2.51.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.51.192

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 144,320 and was likely granted around 1873.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.