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141,440

141,440 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.).

141,440 (one hundred forty-one thousand four hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 5 × 13 × 17. Its proper divisors sum to 244,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x22880.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
44,141
Recamán's sequence
a(485,947) = 141,440
Square (n²)
20,005,273,600
Cube (n³)
2,829,545,897,984,000
Divisor count
64
σ(n) — sum of divisors
385,560
φ(n) — Euler's totient
49,152
Sum of prime factors
49

Primality

Prime factorization: 2 7 × 5 × 13 × 17

Nearest primes: 141,439 (−1) · 141,443 (+3)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 17 · 20 · 26 · 32 · 34 · 40 · 52 · 64 · 65 · 68 · 80 · 85 · 104 · 128 · 130 · 136 · 160 · 170 · 208 · 221 · 260 · 272 · 320 · 340 · 416 · 442 · 520 · 544 · 640 · 680 · 832 · 884 · 1040 · 1088 · 1105 · 1360 · 1664 · 1768 · 2080 · 2176 · 2210 · 2720 · 3536 · 4160 · 4420 · 5440 · 7072 · 8320 · 8840 · 10880 · 14144 · 17680 · 28288 · 35360 · 70720 (half) · 141440
Aliquot sum (sum of proper divisors): 244,120
Factor pairs (a × b = 141,440)
1 × 141440
2 × 70720
4 × 35360
5 × 28288
8 × 17680
10 × 14144
13 × 10880
16 × 8840
17 × 8320
20 × 7072
26 × 5440
32 × 4420
34 × 4160
40 × 3536
52 × 2720
64 × 2210
65 × 2176
68 × 2080
80 × 1768
85 × 1664
104 × 1360
128 × 1105
130 × 1088
136 × 1040
160 × 884
170 × 832
208 × 680
221 × 640
260 × 544
272 × 520
320 × 442
340 × 416
First multiples
141,440 · 282,880 (double) · 424,320 · 565,760 · 707,200 · 848,640 · 990,080 · 1,131,520 · 1,272,960 · 1,414,400

Sums & aliquot sequence

As a sum of two squares: 8² + 376² = 152² + 344² = 184² + 328² = 232² + 296²
As consecutive integers: 28,286 + 28,287 + 28,288 + 28,289 + 28,290 10,874 + 10,875 + … + 10,886 8,312 + 8,313 + … + 8,328 2,144 + 2,145 + … + 2,208
Aliquot sequence: 141,440 244,120 339,080 553,540 698,900 876,520 1,213,280 1,653,472 1,632,104 1,428,106 719,258 396,922 198,464 252,640 344,600 457,060 502,808 — unresolved within range

Continued fraction of √n

√141,440 = [376; (11, 1, 3, 46, 1, 3, 11, 1, 1, 187, 1, 1, 11, 3, 1, 46, 3, 1, 11, 752)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-one thousand four hundred forty
Ordinal
141440th
Binary
100010100010000000
Octal
424200
Hexadecimal
0x22880
Base64
AiiA
One's complement
4,294,825,855 (32-bit)
Scientific notation
1.4144 × 10⁵
As a duration
141,440 s = 1 day, 15 hours, 17 minutes, 20 seconds
In other bases
ternary (3) 21012000112
quaternary (4) 202202000
quinary (5) 14011230
senary (6) 3010452
septenary (7) 1126235
nonary (9) 235015
undecimal (11) 972a2
duodecimal (12) 69a28
tridecimal (13) 4c4c0
tetradecimal (14) 3978c
pentadecimal (15) 2bd95

As an angle

141,440° = 392 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρμαυμʹ
Mayan (base 20)
𝋱·𝋭·𝋬·𝋠
Chinese
一十四萬一千四百四十
Chinese (financial)
壹拾肆萬壹仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٤١٤٤٠ Devanagari १४१४४० Bengali ১৪১৪৪০ Tamil ௧௪௧௪௪௦ Thai ๑๔๑๔๔๐ Tibetan ༡༤༡༤༤༠ Khmer ១៤១៤៤០ Lao ໑໔໑໔໔໐ Burmese ၁၄၁၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 141440, here are decompositions:

  • 37 + 141403 = 141440
  • 43 + 141397 = 141440
  • 139 + 141301 = 141440
  • 157 + 141283 = 141440
  • 163 + 141277 = 141440
  • 199 + 141241 = 141440
  • 241 + 141199 = 141440
  • 283 + 141157 = 141440

Showing the first eight; more decompositions exist.

Unicode codepoint
𢢀
CJK Unified Ideograph-22880
U+22880
Other letter (Lo)

UTF-8 encoding: F0 A2 A2 80 (4 bytes).

Hex color
#022880
RGB(2, 40, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.40.128.

Address
0.2.40.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.40.128

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 141,440 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 141440 first appears in π at position 325,068 of the decimal expansion (the 325,068ordinal-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.