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1,012,144

1,012,144 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.).

1,012,144 (one million twelve thousand one hundred forty-four) is an even 7-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 7² × 1,291. Its proper divisors sum to 1,270,820, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF71B0.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
4,412,101
Square (n²)
1,024,435,476,736
Cube (n³)
1,036,876,221,165,481,984
Divisor count
30
σ(n) — sum of divisors
2,282,964
φ(n) — Euler's totient
433,440
Sum of prime factors
1,313

Primality

Prime factorization: 2 4 × 7 2 × 1291

Nearest primes: 1,012,133 (−11) · 1,012,147 (+3)

Divisors & multiples

All divisors (30)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 49 · 56 · 98 · 112 · 196 · 392 · 784 · 1291 · 2582 · 5164 · 9037 · 10328 · 18074 · 20656 · 36148 · 63259 · 72296 · 126518 · 144592 · 253036 · 506072 (half) · 1012144
Aliquot sum (sum of proper divisors): 1,270,820
Factor pairs (a × b = 1,012,144)
1 × 1012144
2 × 506072
4 × 253036
7 × 144592
8 × 126518
14 × 72296
16 × 63259
28 × 36148
49 × 20656
56 × 18074
98 × 10328
112 × 9037
196 × 5164
392 × 2582
784 × 1291
First multiples
1,012,144 · 2,024,288 (double) · 3,036,432 · 4,048,576 · 5,060,720 · 6,072,864 · 7,085,008 · 8,097,152 · 9,109,296 · 10,121,440

Sums & aliquot sequence

As consecutive integers: 144,589 + 144,590 + … + 144,595 31,614 + 31,615 + … + 31,645 20,632 + 20,633 + … + 20,680 4,407 + 4,408 + … + 4,630
Aliquot sequence: 1,012,144 1,270,820 1,397,944 1,528,856 1,892,584 1,656,026 828,016 1,005,696 2,018,094 2,328,738 2,355,198 2,529,930 4,058,070 6,491,370 9,087,990 13,673,226 19,071,222 — unresolved within range

Continued fraction of √n

√1,012,144 = [1006; (18, 1, 1, 1, 2, 2, 1, 2, 17, 1, 3, 8, 2, 1, 1, 1, 1, 1, 1, 5, 4, 1, 1, 1, …)]

Representations

In words
one million twelve thousand one hundred forty-four
Ordinal
1012144th
Binary
11110111000110110000
Octal
3670660
Hexadecimal
0xF71B0
Base64
D3Gw
One's complement
4,293,955,151 (32-bit)
Scientific notation
1.012144 × 10⁶
As a duration
1,012,144 s = 11 days, 17 hours, 9 minutes, 4 seconds
In other bases
ternary (3) 1220102101211
quaternary (4) 3313012300
quinary (5) 224342034
senary (6) 33405504
septenary (7) 11413600
nonary (9) 1812354
undecimal (11) 631491
duodecimal (12) 409894
tridecimal (13) 295903
tetradecimal (14) 1c4c00
pentadecimal (15) 14ed64

As an angle

1,012,144° = 2,811 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零一萬二千一百四十四
Chinese (financial)
壹佰零壹萬貳仟壹佰肆拾肆
In other modern scripts
Eastern Arabic ١٠١٢١٤٤ Devanagari १०१२१४४ Bengali ১০১২১৪৪ Tamil ௧௦௧௨௧௪௪ Thai ๑๐๑๒๑๔๔ Tibetan ༡༠༡༢༡༤༤ Khmer ១០១២១៤៤ Lao ໑໐໑໒໑໔໔ Burmese ၁၀၁၂၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012144, here are decompositions:

  • 11 + 1012133 = 1012144
  • 41 + 1012103 = 1012144
  • 47 + 1012097 = 1012144
  • 101 + 1012043 = 1012144
  • 113 + 1012031 = 1012144
  • 137 + 1012007 = 1012144
  • 197 + 1011947 = 1012144
  • 227 + 1011917 = 1012144

Showing the first eight; more decompositions exist.

Hex color
#0F71B0
RGB(15, 113, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.113.176.

Address
0.15.113.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.113.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 2144 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 2144-10-01 (MMDYYYY (US, single-digit day))
  • 2144-01-10 (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 1,012,144 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°.