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144,400

144,400 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.).

144,400 (one hundred forty-four thousand four hundred) is an even 6-digit number. It is a composite number with 45 divisors, and factors as 2⁴ × 5² × 19². Its proper divisors sum to 221,741, more than the number itself, making it an abundant number. It is a perfect square (380²). Written other ways, in hexadecimal, 0x23410.

Abundant Number Gapful Number Happy Number Odious Number Perfect Square Pernicious Number Powerful 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
4,441
Recamán's sequence
a(219,616) = 144,400
Square (n²)
20,851,360,000
Cube (n³)
3,010,936,384,000,000
Square root (√n)
380
Divisor count
45
σ(n) — sum of divisors
366,141
φ(n) — Euler's totient
54,720
Sum of prime factors
56

Primality

Prime factorization: 2 4 × 5 2 × 19 2

Nearest primes: 144,383 (−17) · 144,407 (+7)

Divisors & multiples

All divisors (45)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 19 · 20 · 25 · 38 · 40 · 50 · 76 · 80 · 95 · 100 · 152 · 190 · 200 · 304 · 361 · 380 · 400 · 475 · 722 · 760 · 950 · 1444 · 1520 · 1805 · 1900 · 2888 · 3610 · 3800 · 5776 · 7220 · 7600 · 9025 · 14440 · 18050 · 28880 · 36100 · 72200 (half) · 144400
Aliquot sum (sum of proper divisors): 221,741
Factor pairs (a × b = 144,400)
1 × 144400
2 × 72200
4 × 36100
5 × 28880
8 × 18050
10 × 14440
16 × 9025
19 × 7600
20 × 7220
25 × 5776
38 × 3800
40 × 3610
50 × 2888
76 × 1900
80 × 1805
95 × 1520
100 × 1444
152 × 950
190 × 760
200 × 722
304 × 475
361 × 400
380 × 380
First multiples
144,400 · 288,800 (double) · 433,200 · 577,600 · 722,000 · 866,400 · 1,010,800 · 1,155,200 · 1,299,600 · 1,444,000

Sums & aliquot sequence

As a sum of two squares: 0² + 380² = 228² + 304²
As consecutive integers: 28,878 + 28,879 + 28,880 + 28,881 + 28,882 7,591 + 7,592 + … + 7,609 5,764 + 5,765 + … + 5,788 4,497 + 4,498 + … + 4,528
Aliquot sequence: 144,400 221,741 24,043 1 0 — terminates at zero

Representations

In words
one hundred forty-four thousand four hundred
Ordinal
144400th
Binary
100011010000010000
Octal
432020
Hexadecimal
0x23410
Base64
AjQQ
One's complement
4,294,822,895 (32-bit)
Scientific notation
1.444 × 10⁵
As a duration
144,400 s = 1 day, 16 hours, 6 minutes, 40 seconds
In other bases
ternary (3) 21100002011
quaternary (4) 203100100
quinary (5) 14110100
senary (6) 3032304
septenary (7) 1140664
nonary (9) 240064
undecimal (11) 99543
duodecimal (12) 6b694
tridecimal (13) 50959
tetradecimal (14) 3a8a4
pentadecimal (15) 2cbba

As an angle

144,400° = 401 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρμδυʹ
Mayan (base 20)
𝋲·𝋡·𝋠·𝋠
Chinese
一十四萬四千四百
Chinese (financial)
壹拾肆萬肆仟肆佰
In other modern scripts
Eastern Arabic ١٤٤٤٠٠ Devanagari १४४४०० Bengali ১৪৪৪০০ Tamil ௧௪௪௪௦௦ Thai ๑๔๔๔๐๐ Tibetan ༡༤༤༤༠༠ Khmer ១៤៤៤០០ Lao ໑໔໔໔໐໐ Burmese ၁၄၄၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 144400, here are decompositions:

  • 17 + 144383 = 144400
  • 59 + 144341 = 144400
  • 89 + 144311 = 144400
  • 101 + 144299 = 144400
  • 197 + 144203 = 144400
  • 227 + 144173 = 144400
  • 233 + 144167 = 144400
  • 239 + 144161 = 144400

Showing the first eight; more decompositions exist.

Unicode codepoint
𣐐
CJK Unified Ideograph-23410
U+23410
Other letter (Lo)

UTF-8 encoding: F0 A3 90 90 (4 bytes).

Hex color
#023410
RGB(2, 52, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.52.16.

Address
0.2.52.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.52.16

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 144,400 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 144400 first appears in π at position 307,671 of the decimal expansion (the 307,671ordinal-suffix:st 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