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144,480

144,480 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.).

144,480 (one hundred forty-four thousand four hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 7 × 43. Its proper divisors sum to 387,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23460.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
84,441
Recamán's sequence
a(219,456) = 144,480
Square (n²)
20,874,470,400
Cube (n³)
3,015,943,483,392,000
Divisor count
96
σ(n) — sum of divisors
532,224
φ(n) — Euler's totient
32,256
Sum of prime factors
68

Primality

Prime factorization: 2 5 × 3 × 5 × 7 × 43

Nearest primes: 144,479 (−1) · 144,481 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 40 · 42 · 43 · 48 · 56 · 60 · 70 · 80 · 84 · 86 · 96 · 105 · 112 · 120 · 129 · 140 · 160 · 168 · 172 · 210 · 215 · 224 · 240 · 258 · 280 · 301 · 336 · 344 · 420 · 430 · 480 · 516 · 560 · 602 · 645 · 672 · 688 · 840 · 860 · 903 · 1032 · 1120 · 1204 · 1290 · 1376 · 1505 · 1680 · 1720 · 1806 · 2064 · 2408 · 2580 · 3010 · 3360 · 3440 · 3612 · 4128 · 4515 · 4816 · 5160 · 6020 · 6880 · 7224 · 9030 · 9632 · 10320 · 12040 · 14448 · 18060 · 20640 · 24080 · 28896 · 36120 · 48160 · 72240 (half) · 144480
Aliquot sum (sum of proper divisors): 387,744
Factor pairs (a × b = 144,480)
1 × 144480
2 × 72240
3 × 48160
4 × 36120
5 × 28896
6 × 24080
7 × 20640
8 × 18060
10 × 14448
12 × 12040
14 × 10320
15 × 9632
16 × 9030
20 × 7224
21 × 6880
24 × 6020
28 × 5160
30 × 4816
32 × 4515
35 × 4128
40 × 3612
42 × 3440
43 × 3360
48 × 3010
56 × 2580
60 × 2408
70 × 2064
80 × 1806
84 × 1720
86 × 1680
96 × 1505
105 × 1376
112 × 1290
120 × 1204
129 × 1120
140 × 1032
160 × 903
168 × 860
172 × 840
210 × 688
215 × 672
224 × 645
240 × 602
258 × 560
280 × 516
301 × 480
336 × 430
344 × 420
First multiples
144,480 · 288,960 (double) · 433,440 · 577,920 · 722,400 · 866,880 · 1,011,360 · 1,155,840 · 1,300,320 · 1,444,800

Sums & aliquot sequence

As consecutive integers: 48,159 + 48,160 + 48,161 28,894 + 28,895 + 28,896 + 28,897 + 28,898 20,637 + 20,638 + … + 20,643 9,625 + 9,626 + … + 9,639
Aliquot sequence: 144,480 387,744 777,504 1,762,656 3,736,992 7,778,400 21,219,744 48,761,664 105,515,904 209,786,496 371,711,424 758,048,064 1,251,120,384 2,466,833,856 4,059,997,896 6,089,996,904 10,030,584,216 — keeps growing

Continued fraction of √n

√144,480 = [380; (9, 1, 1, 189, 1, 1, 9, 760)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-four thousand four hundred eighty
Ordinal
144480th
Binary
100011010001100000
Octal
432140
Hexadecimal
0x23460
Base64
AjRg
One's complement
4,294,822,815 (32-bit)
Scientific notation
1.4448 × 10⁵
As a duration
144,480 s = 1 day, 16 hours, 8 minutes
In other bases
ternary (3) 21100012010
quaternary (4) 203101200
quinary (5) 14110410
senary (6) 3032520
septenary (7) 1141140
nonary (9) 240163
undecimal (11) 99606
duodecimal (12) 6b740
tridecimal (13) 509bb
tetradecimal (14) 3a920
pentadecimal (15) 2cc20

As an angle

144,480° = 401 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρμδυπʹ
Mayan (base 20)
𝋲·𝋡·𝋤·𝋠
Chinese
一十四萬四千四百八十
Chinese (financial)
壹拾肆萬肆仟肆佰捌拾
In other modern scripts
Eastern Arabic ١٤٤٤٨٠ Devanagari १४४४८० Bengali ১৪৪৪৮০ Tamil ௧௪௪௪௮௦ Thai ๑๔๔๔๘๐ Tibetan ༡༤༤༤༨༠ Khmer ១៤៤៤៨០ Lao ໑໔໔໔໘໐ Burmese ၁၄၄၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 144480, here are decompositions:

  • 19 + 144461 = 144480
  • 29 + 144451 = 144480
  • 41 + 144439 = 144480
  • 53 + 144427 = 144480
  • 67 + 144413 = 144480
  • 71 + 144409 = 144480
  • 73 + 144407 = 144480
  • 97 + 144383 = 144480

Showing the first eight; more decompositions exist.

Unicode codepoint
𣑠
CJK Unified Ideograph-23460
U+23460
Other letter (Lo)

UTF-8 encoding: F0 A3 91 A0 (4 bytes).

Hex color
#023460
RGB(2, 52, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.52.96.

Address
0.2.52.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.52.96

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 144,480 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

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