number.wiki
Live analysis

1,014,144

1,014,144 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.).

1,014,144 (one million fourteen thousand one hundred forty-four) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 19 × 139. Its proper divisors sum to 1,841,856, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7980.

Abundant Number Arithmetic Number Evil Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
4,414,101
Square (n²)
1,028,488,052,736
Cube (n³)
1,043,034,987,753,897,984
Divisor count
64
σ(n) — sum of divisors
2,856,000
φ(n) — Euler's totient
317,952
Sum of prime factors
175

Primality

Prime factorization: 2 7 × 3 × 19 × 139

Nearest primes: 1,014,137 (−7) · 1,014,149 (+5)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 19 · 24 · 32 · 38 · 48 · 57 · 64 · 76 · 96 · 114 · 128 · 139 · 152 · 192 · 228 · 278 · 304 · 384 · 417 · 456 · 556 · 608 · 834 · 912 · 1112 · 1216 · 1668 · 1824 · 2224 · 2432 · 2641 · 3336 · 3648 · 4448 · 5282 · 6672 · 7296 · 7923 · 8896 · 10564 · 13344 · 15846 · 17792 · 21128 · 26688 · 31692 · 42256 · 53376 · 63384 · 84512 · 126768 · 169024 · 253536 · 338048 · 507072 (half) · 1014144
Aliquot sum (sum of proper divisors): 1,841,856
Factor pairs (a × b = 1,014,144)
1 × 1014144
2 × 507072
3 × 338048
4 × 253536
6 × 169024
8 × 126768
12 × 84512
16 × 63384
19 × 53376
24 × 42256
32 × 31692
38 × 26688
48 × 21128
57 × 17792
64 × 15846
76 × 13344
96 × 10564
114 × 8896
128 × 7923
139 × 7296
152 × 6672
192 × 5282
228 × 4448
278 × 3648
304 × 3336
384 × 2641
417 × 2432
456 × 2224
556 × 1824
608 × 1668
834 × 1216
912 × 1112
First multiples
1,014,144 · 2,028,288 (double) · 3,042,432 · 4,056,576 · 5,070,720 · 6,084,864 · 7,099,008 · 8,113,152 · 9,127,296 · 10,141,440

Sums & aliquot sequence

As consecutive integers: 338,047 + 338,048 + 338,049 53,367 + 53,368 + … + 53,385 17,764 + 17,765 + … + 17,820 7,227 + 7,228 + … + 7,365
Aliquot sequence: 1,014,144 1,841,856 3,150,768 5,192,448 8,629,080 17,258,520 34,517,400 72,488,400 167,838,480 426,319,920 1,158,495,312 2,069,298,096 3,276,388,776 5,168,548,824 7,752,823,296 12,901,186,608 — keeps growing

Continued fraction of √n

√1,014,144 = [1007; (21, 4, 1, 79, 1, 3, 5, 125, 1, 2, 4, 2, 1, 19, 2, 4, 1, 1, 4, 1, 3, 503, 3, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one million fourteen thousand one hundred forty-four
Ordinal
1014144th
Binary
11110111100110000000
Octal
3674600
Hexadecimal
0xF7980
Base64
D3mA
One's complement
4,293,953,151 (32-bit)
Scientific notation
1.014144 × 10⁶
As a duration
1,014,144 s = 11 days, 17 hours, 42 minutes, 24 seconds
In other bases
ternary (3) 1220112010220
quaternary (4) 3313212000
quinary (5) 224423034
senary (6) 33423040
septenary (7) 11422455
nonary (9) 1815126
undecimal (11) 632a3a
duodecimal (12) 40aa80
tridecimal (13) 2967b1
tetradecimal (14) 1c582c
pentadecimal (15) 150749

As an angle

1,014,144° = 2,817 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零一萬四千一百四十四
Chinese (financial)
壹佰零壹萬肆仟壹佰肆拾肆
In other modern scripts
Eastern Arabic ١٠١٤١٤٤ Devanagari १०१४१४४ Bengali ১০১৪১৪৪ Tamil ௧௦௧௪௧௪௪ Thai ๑๐๑๔๑๔๔ Tibetan ༡༠༡༤༡༤༤ Khmer ១០១៤១៤៤ Lao ໑໐໑໔໑໔໔ Burmese ၁၀၁၄၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1014144, here are decompositions:

  • 7 + 1014137 = 1014144
  • 13 + 1014131 = 1014144
  • 17 + 1014127 = 1014144
  • 23 + 1014121 = 1014144
  • 31 + 1014113 = 1014144
  • 83 + 1014061 = 1014144
  • 107 + 1014037 = 1014144
  • 137 + 1014007 = 1014144

Showing the first eight; more decompositions exist.

Hex color
#0F7980
RGB(15, 121, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.121.128.

Address
0.15.121.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.121.128

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 4144 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 4144-10-01 (MMDYYYY (US, single-digit day))
  • 4144-01-10 (DDMYYYY (Euro, single-digit month))
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 1,014,144 and was likely granted around 1911.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.