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144,072

144,072 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.).

144,072 (one hundred forty-four thousand seventy-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 23 × 29. Its proper divisors sum to 287,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x232C8.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
270,441
Recamán's sequence
a(220,272) = 144,072
Square (n²)
20,756,741,184
Cube (n³)
2,990,465,215,861,248
Divisor count
64
σ(n) — sum of divisors
432,000
φ(n) — Euler's totient
44,352
Sum of prime factors
67

Primality

Prime factorization: 2 3 × 3 3 × 23 × 29

Nearest primes: 144,071 (−1) · 144,073 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 23 · 24 · 27 · 29 · 36 · 46 · 54 · 58 · 69 · 72 · 87 · 92 · 108 · 116 · 138 · 174 · 184 · 207 · 216 · 232 · 261 · 276 · 348 · 414 · 522 · 552 · 621 · 667 · 696 · 783 · 828 · 1044 · 1242 · 1334 · 1566 · 1656 · 2001 · 2088 · 2484 · 2668 · 3132 · 4002 · 4968 · 5336 · 6003 · 6264 · 8004 · 12006 · 16008 · 18009 · 24012 · 36018 · 48024 · 72036 (half) · 144072
Aliquot sum (sum of proper divisors): 287,928
Factor pairs (a × b = 144,072)
1 × 144072
2 × 72036
3 × 48024
4 × 36018
6 × 24012
8 × 18009
9 × 16008
12 × 12006
18 × 8004
23 × 6264
24 × 6003
27 × 5336
29 × 4968
36 × 4002
46 × 3132
54 × 2668
58 × 2484
69 × 2088
72 × 2001
87 × 1656
92 × 1566
108 × 1334
116 × 1242
138 × 1044
174 × 828
184 × 783
207 × 696
216 × 667
232 × 621
261 × 552
276 × 522
348 × 414
First multiples
144,072 · 288,144 (double) · 432,216 · 576,288 · 720,360 · 864,432 · 1,008,504 · 1,152,576 · 1,296,648 · 1,440,720

Sums & aliquot sequence

As consecutive integers: 48,023 + 48,024 + 48,025 16,004 + 16,005 + … + 16,012 8,997 + 8,998 + … + 9,012 6,253 + 6,254 + … + 6,275
Aliquot sequence: 144,072 287,928 556,872 835,368 1,253,112 2,327,688 4,551,912 7,878,168 14,006,232 26,162,208 48,237,390 87,180,210 158,716,350 303,247,386 412,329,294 567,954,738 757,273,530 — unresolved within range

Continued fraction of √n

√144,072 = [379; (1, 1, 3, 5, 1, 83, 1, 1, 32, 1, 1, 83, 1, 5, 3, 1, 1, 758)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-four thousand seventy-two
Ordinal
144072nd
Binary
100011001011001000
Octal
431310
Hexadecimal
0x232C8
Base64
AjLI
One's complement
4,294,823,223 (32-bit)
Scientific notation
1.44072 × 10⁵
As a duration
144,072 s = 1 day, 16 hours, 1 minute, 12 seconds
In other bases
ternary (3) 21022122000
quaternary (4) 203023020
quinary (5) 14102242
senary (6) 3031000
septenary (7) 1140015
nonary (9) 238560
undecimal (11) 99275
duodecimal (12) 6b460
tridecimal (13) 50766
tetradecimal (14) 3a70c
pentadecimal (15) 2ca4c

As an angle

144,072° = 400 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρμδοβʹ
Mayan (base 20)
𝋲·𝋠·𝋣·𝋬
Chinese
一十四萬四千零七十二
Chinese (financial)
壹拾肆萬肆仟零柒拾貳
In other modern scripts
Eastern Arabic ١٤٤٠٧٢ Devanagari १४४०७२ Bengali ১৪৪০৭২ Tamil ௧௪௪௦௭௨ Thai ๑๔๔๐๗๒ Tibetan ༡༤༤༠༧༢ Khmer ១៤៤០៧២ Lao ໑໔໔໐໗໒ Burmese ၁၄၄၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 144072, here are decompositions:

  • 11 + 144061 = 144072
  • 41 + 144031 = 144072
  • 59 + 144013 = 144072
  • 73 + 143999 = 144072
  • 101 + 143971 = 144072
  • 163 + 143909 = 144072
  • 191 + 143881 = 144072
  • 193 + 143879 = 144072

Showing the first eight; more decompositions exist.

Unicode codepoint
𣋈
CJK Unified Ideograph-232C8
U+232C8
Other letter (Lo)

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

Hex color
#0232C8
RGB(2, 50, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.50.200.

Address
0.2.50.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.50.200

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 144,072 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 144072 first appears in π at position 927,040 of the decimal expansion (the 927,040ordinal-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°.