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144,200

144,200 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.).

144,200 (one hundred forty-four thousand two hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5² × 7 × 103. Its proper divisors sum to 242,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23348.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
2,441
Recamán's sequence
a(220,016) = 144,200
Square (n²)
20,793,640,000
Cube (n³)
2,998,442,888,000,000
Divisor count
48
σ(n) — sum of divisors
386,880
φ(n) — Euler's totient
48,960
Sum of prime factors
126

Primality

Prime factorization: 2 3 × 5 2 × 7 × 103

Nearest primes: 144,173 (−27) · 144,203 (+3)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 25 · 28 · 35 · 40 · 50 · 56 · 70 · 100 · 103 · 140 · 175 · 200 · 206 · 280 · 350 · 412 · 515 · 700 · 721 · 824 · 1030 · 1400 · 1442 · 2060 · 2575 · 2884 · 3605 · 4120 · 5150 · 5768 · 7210 · 10300 · 14420 · 18025 · 20600 · 28840 · 36050 · 72100 (half) · 144200
Aliquot sum (sum of proper divisors): 242,680
Factor pairs (a × b = 144,200)
1 × 144200
2 × 72100
4 × 36050
5 × 28840
7 × 20600
8 × 18025
10 × 14420
14 × 10300
20 × 7210
25 × 5768
28 × 5150
35 × 4120
40 × 3605
50 × 2884
56 × 2575
70 × 2060
100 × 1442
103 × 1400
140 × 1030
175 × 824
200 × 721
206 × 700
280 × 515
350 × 412
First multiples
144,200 · 288,400 (double) · 432,600 · 576,800 · 721,000 · 865,200 · 1,009,400 · 1,153,600 · 1,297,800 · 1,442,000

Sums & aliquot sequence

As consecutive integers: 28,838 + 28,839 + 28,840 + 28,841 + 28,842 20,597 + 20,598 + … + 20,603 9,005 + 9,006 + … + 9,020 5,756 + 5,757 + … + 5,780
Aliquot sequence: 144,200 242,680 303,440 402,244 306,380 337,060 408,860 449,788 371,732 283,468 212,608 252,512 283,744 274,940 314,740 346,256 412,624 — unresolved within range

Continued fraction of √n

√144,200 = [379; (1, 2, 1, 3, 1, 29, 1, 1, 2, 3, 2, 1, 1, 29, 1, 3, 1, 2, 1, 758)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-four thousand two hundred
Ordinal
144200th
Binary
100011001101001000
Octal
431510
Hexadecimal
0x23348
Base64
AjNI
One's complement
4,294,823,095 (32-bit)
Scientific notation
1.442 × 10⁵
As a duration
144,200 s = 1 day, 16 hours, 3 minutes, 20 seconds
In other bases
ternary (3) 21022210202
quaternary (4) 203031020
quinary (5) 14103300
senary (6) 3031332
septenary (7) 1140260
nonary (9) 238722
undecimal (11) 99381
duodecimal (12) 6b548
tridecimal (13) 50834
tetradecimal (14) 3a7a0
pentadecimal (15) 2cad5

As an angle

144,200° = 400 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢
Greek (Milesian)
͵ρμδσʹ
Mayan (base 20)
𝋲·𝋠·𝋪·𝋠
Chinese
一十四萬四千二百
Chinese (financial)
壹拾肆萬肆仟貳佰
In other modern scripts
Eastern Arabic ١٤٤٢٠٠ Devanagari १४४२०० Bengali ১৪৪২০০ Tamil ௧௪௪௨௦௦ Thai ๑๔๔๒๐๐ Tibetan ༡༤༤༢༠༠ Khmer ១៤៤២០០ Lao ໑໔໔໒໐໐ Burmese ၁၄၄၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 144200, here are decompositions:

  • 31 + 144169 = 144200
  • 37 + 144163 = 144200
  • 61 + 144139 = 144200
  • 97 + 144103 = 144200
  • 127 + 144073 = 144200
  • 139 + 144061 = 144200
  • 163 + 144037 = 144200
  • 223 + 143977 = 144200

Showing the first eight; more decompositions exist.

Unicode codepoint
𣍈
CJK Unified Ideograph-23348
U+23348
Other letter (Lo)

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

Hex color
#023348
RGB(2, 51, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.51.72.

Address
0.2.51.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.51.72

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 144,200 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 144200 first appears in π at position 801,979 of the decimal expansion (the 801,979ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.