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144,840

144,840 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.).

144,840 (one hundred forty-four thousand eight hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 17 × 71. Its proper divisors sum to 321,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x235C8.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
48,441
Recamán's sequence
a(218,736) = 144,840
Square (n²)
20,978,625,600
Cube (n³)
3,038,544,131,904,000
Divisor count
64
σ(n) — sum of divisors
466,560
φ(n) — Euler's totient
35,840
Sum of prime factors
102

Primality

Prime factorization: 2 3 × 3 × 5 × 17 × 71

Nearest primes: 144,839 (−1) · 144,847 (+7)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 17 · 20 · 24 · 30 · 34 · 40 · 51 · 60 · 68 · 71 · 85 · 102 · 120 · 136 · 142 · 170 · 204 · 213 · 255 · 284 · 340 · 355 · 408 · 426 · 510 · 568 · 680 · 710 · 852 · 1020 · 1065 · 1207 · 1420 · 1704 · 2040 · 2130 · 2414 · 2840 · 3621 · 4260 · 4828 · 6035 · 7242 · 8520 · 9656 · 12070 · 14484 · 18105 · 24140 · 28968 · 36210 · 48280 · 72420 (half) · 144840
Aliquot sum (sum of proper divisors): 321,720
Factor pairs (a × b = 144,840)
1 × 144840
2 × 72420
3 × 48280
4 × 36210
5 × 28968
6 × 24140
8 × 18105
10 × 14484
12 × 12070
15 × 9656
17 × 8520
20 × 7242
24 × 6035
30 × 4828
34 × 4260
40 × 3621
51 × 2840
60 × 2414
68 × 2130
71 × 2040
85 × 1704
102 × 1420
120 × 1207
136 × 1065
142 × 1020
170 × 852
204 × 710
213 × 680
255 × 568
284 × 510
340 × 426
355 × 408
First multiples
144,840 · 289,680 (double) · 434,520 · 579,360 · 724,200 · 869,040 · 1,013,880 · 1,158,720 · 1,303,560 · 1,448,400

Sums & aliquot sequence

As consecutive integers: 48,279 + 48,280 + 48,281 28,966 + 28,967 + 28,968 + 28,969 + 28,970 9,649 + 9,650 + … + 9,663 9,045 + 9,046 + … + 9,060
Aliquot sequence: 144,840 321,720 784,200 1,648,680 3,751,320 7,780,200 16,340,280 37,141,320 79,135,800 166,187,040 357,303,648 652,769,808 1,210,432,368 2,119,354,512 3,853,373,328 8,864,934,300 19,810,452,580 — keeps growing

Continued fraction of √n

√144,840 = [380; (1, 1, 2, 1, 2, 5, 1, 11, 1, 5, 2, 1, 2, 1, 1, 760)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-four thousand eight hundred forty
Ordinal
144840th
Binary
100011010111001000
Octal
432710
Hexadecimal
0x235C8
Base64
AjXI
One's complement
4,294,822,455 (32-bit)
Scientific notation
1.4484 × 10⁵
As a duration
144,840 s = 1 day, 16 hours, 14 minutes
In other bases
ternary (3) 21100200110
quaternary (4) 203113020
quinary (5) 14113330
senary (6) 3034320
septenary (7) 1142163
nonary (9) 240613
undecimal (11) 99903
duodecimal (12) 6b9a0
tridecimal (13) 50c07
tetradecimal (14) 3aada
pentadecimal (15) 2cdb0

As an angle

144,840° = 402 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρμδωμʹ
Mayan (base 20)
𝋲·𝋢·𝋢·𝋠
Chinese
一十四萬四千八百四十
Chinese (financial)
壹拾肆萬肆仟捌佰肆拾
In other modern scripts
Eastern Arabic ١٤٤٨٤٠ Devanagari १४४८४० Bengali ১৪৪৮৪০ Tamil ௧௪௪௮௪௦ Thai ๑๔๔๘๔๐ Tibetan ༡༤༤༨༤༠ Khmer ១៤៤៨៤០ Lao ໑໔໔໘໔໐ Burmese ၁၄၄၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 144840, here are decompositions:

  • 11 + 144829 = 144840
  • 23 + 144817 = 144840
  • 61 + 144779 = 144840
  • 67 + 144773 = 144840
  • 83 + 144757 = 144840
  • 89 + 144751 = 144840
  • 103 + 144737 = 144840
  • 109 + 144731 = 144840

Showing the first eight; more decompositions exist.

Unicode codepoint
𣗈
CJK Unified Ideograph-235C8
U+235C8
Other letter (Lo)

UTF-8 encoding: F0 A3 97 88 (4 bytes).

Hex color
#0235C8
RGB(2, 53, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.53.200.

Address
0.2.53.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.53.200

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 144,840 and was likely granted around 1873.

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

Position in π

The digit sequence 144840 first appears in π at position 102,662 of the decimal expansion (the 102,662ordinal-suffix:nd 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°.