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144,004

144,004 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.).

144,004 (one hundred forty-four thousand four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 37 × 139. Its proper divisors sum to 153,916, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23284.

Abundant Number Cube-Free Evil Number Gapful Number Happy Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
400,441
Recamán's sequence
a(220,408) = 144,004
Square (n²)
20,737,152,016
Cube (n³)
2,986,232,838,912,064
Divisor count
24
σ(n) — sum of divisors
297,920
φ(n) — Euler's totient
59,616
Sum of prime factors
187

Primality

Prime factorization: 2 2 × 7 × 37 × 139

Nearest primes: 143,999 (−5) · 144,013 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 28 · 37 · 74 · 139 · 148 · 259 · 278 · 518 · 556 · 973 · 1036 · 1946 · 3892 · 5143 · 10286 · 20572 · 36001 · 72002 (half) · 144004
Aliquot sum (sum of proper divisors): 153,916
Factor pairs (a × b = 144,004)
1 × 144004
2 × 72002
4 × 36001
7 × 20572
14 × 10286
28 × 5143
37 × 3892
74 × 1946
139 × 1036
148 × 973
259 × 556
278 × 518
First multiples
144,004 · 288,008 (double) · 432,012 · 576,016 · 720,020 · 864,024 · 1,008,028 · 1,152,032 · 1,296,036 · 1,440,040

Sums & aliquot sequence

As consecutive integers: 20,569 + 20,570 + … + 20,575 17,997 + 17,998 + … + 18,004 3,874 + 3,875 + … + 3,910 2,544 + 2,545 + … + 2,599
Aliquot sequence: 144,004 153,916 168,644 187,516 199,780 280,028 291,844 302,666 256,438 217,322 185,014 92,510 95,626 49,274 25,894 17,198 8,602 — unresolved within range

Continued fraction of √n

√144,004 = [379; (2, 11, 5, 1, 1, 1, 27, 2, 6, 9, 4, 1, 1, 1, 2, 1, 3, 6, 252, 1, 4, 1, 3, 16, …)]

Representations

In words
one hundred forty-four thousand four
Ordinal
144004th
Binary
100011001010000100
Octal
431204
Hexadecimal
0x23284
Base64
AjKE
One's complement
4,294,823,291 (32-bit)
Scientific notation
1.44004 × 10⁵
As a duration
144,004 s = 1 day, 16 hours, 4 seconds
In other bases
ternary (3) 21022112111
quaternary (4) 203022010
quinary (5) 14102004
senary (6) 3030404
septenary (7) 1136560
nonary (9) 238474
undecimal (11) 99213
duodecimal (12) 6b404
tridecimal (13) 50713
tetradecimal (14) 3a6a0
pentadecimal (15) 2ca04

As an angle

144,004° = 400 × 360° + 4°
4° ≈ 0.07 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 · 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμδδʹ
Mayan (base 20)
𝋲·𝋠·𝋠·𝋤
Chinese
一十四萬四千零四
Chinese (financial)
壹拾肆萬肆仟零肆
In other modern scripts
Eastern Arabic ١٤٤٠٠٤ Devanagari १४४००४ Bengali ১৪৪০০৪ Tamil ௧௪௪௦௦௪ Thai ๑๔๔๐๐๔ Tibetan ༡༤༤༠༠༤ Khmer ១៤៤០០៤ Lao ໑໔໔໐໐໔ Burmese ၁၄၄၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 144004, here are decompositions:

  • 5 + 143999 = 144004
  • 23 + 143981 = 144004
  • 131 + 143873 = 144004
  • 173 + 143831 = 144004
  • 191 + 143813 = 144004
  • 197 + 143807 = 144004
  • 293 + 143711 = 144004
  • 317 + 143687 = 144004

Showing the first eight; more decompositions exist.

Unicode codepoint
𣊄
CJK Unified Ideograph-23284
U+23284
Other letter (Lo)

UTF-8 encoding: F0 A3 8A 84 (4 bytes).

Hex color
#023284
RGB(2, 50, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.50.132.

Address
0.2.50.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.50.132

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 144,004 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 144004 first appears in π at position 693,660 of the decimal expansion (the 693,660ordinal-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