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144,240

144,240 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.).

144,240 (one hundred forty-four thousand two hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 601. Its proper divisors sum to 303,648, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23370.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
42,441
Recamán's sequence
a(219,936) = 144,240
Square (n²)
20,805,177,600
Cube (n³)
3,000,938,817,024,000
Divisor count
40
σ(n) — sum of divisors
447,888
φ(n) — Euler's totient
38,400
Sum of prime factors
617

Primality

Prime factorization: 2 4 × 3 × 5 × 601

Nearest primes: 144,223 (−17) · 144,241 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 601 · 1202 · 1803 · 2404 · 3005 · 3606 · 4808 · 6010 · 7212 · 9015 · 9616 · 12020 · 14424 · 18030 · 24040 · 28848 · 36060 · 48080 · 72120 (half) · 144240
Aliquot sum (sum of proper divisors): 303,648
Factor pairs (a × b = 144,240)
1 × 144240
2 × 72120
3 × 48080
4 × 36060
5 × 28848
6 × 24040
8 × 18030
10 × 14424
12 × 12020
15 × 9616
16 × 9015
20 × 7212
24 × 6010
30 × 4808
40 × 3606
48 × 3005
60 × 2404
80 × 1803
120 × 1202
240 × 601
First multiples
144,240 · 288,480 (double) · 432,720 · 576,960 · 721,200 · 865,440 · 1,009,680 · 1,153,920 · 1,298,160 · 1,442,400

Sums & aliquot sequence

As consecutive integers: 48,079 + 48,080 + 48,081 28,846 + 28,847 + 28,848 + 28,849 + 28,850 9,609 + 9,610 + … + 9,623 4,492 + 4,493 + … + 4,523
Aliquot sequence: 144,240 303,648 493,680 1,287,456 2,092,368 3,313,040 4,389,964 3,626,660 4,046,740 4,952,684 4,810,132 3,625,568 3,573,064 4,123,736 3,631,264 5,682,656 7,671,328 — unresolved within range

Continued fraction of √n

√144,240 = [379; (1, 3, 1, 2, 1, 46, 1, 2, 1, 3, 1, 758)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-four thousand two hundred forty
Ordinal
144240th
Binary
100011001101110000
Octal
431560
Hexadecimal
0x23370
Base64
AjNw
One's complement
4,294,823,055 (32-bit)
Scientific notation
1.4424 × 10⁵
As a duration
144,240 s = 1 day, 16 hours, 4 minutes
In other bases
ternary (3) 21022212020
quaternary (4) 203031300
quinary (5) 14103430
senary (6) 3031440
septenary (7) 1140345
nonary (9) 238766
undecimal (11) 99408
duodecimal (12) 6b580
tridecimal (13) 50865
tetradecimal (14) 3a7cc
pentadecimal (15) 2cb10

As an angle

144,240° = 400 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρμδσμʹ
Mayan (base 20)
𝋲·𝋠·𝋬·𝋠
Chinese
一十四萬四千二百四十
Chinese (financial)
壹拾肆萬肆仟貳佰肆拾
In other modern scripts
Eastern Arabic ١٤٤٢٤٠ Devanagari १४४२४० Bengali ১৪৪২৪০ Tamil ௧௪௪௨௪௦ Thai ๑๔๔๒๔๐ Tibetan ༡༤༤༢༤༠ Khmer ១៤៤២៤០ Lao ໑໔໔໒໔໐ Burmese ၁၄၄၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 144240, here are decompositions:

  • 17 + 144223 = 144240
  • 37 + 144203 = 144240
  • 67 + 144173 = 144240
  • 71 + 144169 = 144240
  • 73 + 144167 = 144240
  • 79 + 144161 = 144240
  • 101 + 144139 = 144240
  • 137 + 144103 = 144240

Showing the first eight; more decompositions exist.

Unicode codepoint
𣍰
CJK Unified Ideograph-23370
U+23370
Other letter (Lo)

UTF-8 encoding: F0 A3 8D B0 (4 bytes).

Hex color
#023370
RGB(2, 51, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.51.112.

Address
0.2.51.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.51.112

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 144,240 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 144240 first appears in π at position 386,315 of the decimal expansion (the 386,315ordinal-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°.