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144,672

144,672 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.).

144,672 (one hundred forty-four thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 11 × 137. Its proper divisors sum to 272,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23520.

Abundant Number Arithmetic 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
24
Digit product
1,344
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
276,441
Recamán's sequence
a(219,072) = 144,672
Square (n²)
20,929,987,584
Cube (n³)
3,027,983,163,752,448
Divisor count
48
σ(n) — sum of divisors
417,312
φ(n) — Euler's totient
43,520
Sum of prime factors
161

Primality

Prime factorization: 2 5 × 3 × 11 × 137

Nearest primes: 144,671 (−1) · 144,701 (+29)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 22 · 24 · 32 · 33 · 44 · 48 · 66 · 88 · 96 · 132 · 137 · 176 · 264 · 274 · 352 · 411 · 528 · 548 · 822 · 1056 · 1096 · 1507 · 1644 · 2192 · 3014 · 3288 · 4384 · 4521 · 6028 · 6576 · 9042 · 12056 · 13152 · 18084 · 24112 · 36168 · 48224 · 72336 (half) · 144672
Aliquot sum (sum of proper divisors): 272,640
Factor pairs (a × b = 144,672)
1 × 144672
2 × 72336
3 × 48224
4 × 36168
6 × 24112
8 × 18084
11 × 13152
12 × 12056
16 × 9042
22 × 6576
24 × 6028
32 × 4521
33 × 4384
44 × 3288
48 × 3014
66 × 2192
88 × 1644
96 × 1507
132 × 1096
137 × 1056
176 × 822
264 × 548
274 × 528
352 × 411
First multiples
144,672 · 289,344 (double) · 434,016 · 578,688 · 723,360 · 868,032 · 1,012,704 · 1,157,376 · 1,302,048 · 1,446,720

Sums & aliquot sequence

As consecutive integers: 48,223 + 48,224 + 48,225 13,147 + 13,148 + … + 13,157 4,368 + 4,369 + … + 4,400 2,229 + 2,230 + … + 2,292
Aliquot sequence: 144,672 272,640 610,368 1,261,104 2,405,328 3,808,560 9,690,576 19,259,952 30,695,184 66,798,576 146,469,024 348,862,176 719,539,704 1,398,001,176 3,050,217,144 5,906,366,856 11,762,260,344 — keeps growing

Continued fraction of √n

√144,672 = [380; (2, 1, 3, 1, 7, 1, 22, 1, 7, 1, 3, 1, 2, 760)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-four thousand six hundred seventy-two
Ordinal
144672nd
Binary
100011010100100000
Octal
432440
Hexadecimal
0x23520
Base64
AjUg
One's complement
4,294,822,623 (32-bit)
Scientific notation
1.44672 × 10⁵
As a duration
144,672 s = 1 day, 16 hours, 11 minutes, 12 seconds
In other bases
ternary (3) 21100110020
quaternary (4) 203110200
quinary (5) 14112142
senary (6) 3033440
septenary (7) 1141533
nonary (9) 240406
undecimal (11) 99770
duodecimal (12) 6b880
tridecimal (13) 50b08
tetradecimal (14) 3aa1a
pentadecimal (15) 2ccec

As an angle

144,672° = 401 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρμδχοβʹ
Mayan (base 20)
𝋲·𝋡·𝋭·𝋬
Chinese
一十四萬四千六百七十二
Chinese (financial)
壹拾肆萬肆仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ١٤٤٦٧٢ Devanagari १४४६७२ Bengali ১৪৪৬৭২ Tamil ௧௪௪௬௭௨ Thai ๑๔๔๖๗๒ Tibetan ༡༤༤༦༧༢ Khmer ១៤៤៦៧២ Lao ໑໔໔໖໗໒ Burmese ၁၄၄၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 144672, here are decompositions:

  • 5 + 144667 = 144672
  • 13 + 144659 = 144672
  • 43 + 144629 = 144672
  • 61 + 144611 = 144672
  • 79 + 144593 = 144672
  • 83 + 144589 = 144672
  • 89 + 144583 = 144672
  • 103 + 144569 = 144672

Showing the first eight; more decompositions exist.

Unicode codepoint
𣔠
CJK Unified Ideograph-23520
U+23520
Other letter (Lo)

UTF-8 encoding: F0 A3 94 A0 (4 bytes).

Hex color
#023520
RGB(2, 53, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.53.32.

Address
0.2.53.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.53.32

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 144,672 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 144672 first appears in π at position 247,663 of the decimal expansion (the 247,663ordinal-suffix:rd 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°.