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100,144

100,144 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.).
Abundant Number Arithmetic Number Odious Number Pernicious Number Self Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
441,001
Square (n²)
10,028,820,736
Cube (n³)
1,004,326,223,785,984
Divisor count
20
σ(n) — sum of divisors
212,040
φ(n) — Euler's totient
45,440
Sum of prime factors
588

Primality

Prime factorization: 2 4 × 11 × 569

Nearest primes: 100,129 (−15) · 100,151 (+7)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 44 · 88 · 176 · 569 · 1138 · 2276 · 4552 · 6259 · 9104 · 12518 · 25036 · 50072 (half) · 100144
Aliquot sum (sum of proper divisors): 111,896
Factor pairs (a × b = 100,144)
1 × 100144
2 × 50072
4 × 25036
8 × 12518
11 × 9104
16 × 6259
22 × 4552
44 × 2276
88 × 1138
176 × 569
First multiples
100,144 · 200,288 (double) · 300,432 · 400,576 · 500,720 · 600,864 · 701,008 · 801,152 · 901,296 · 1,001,440

Sums & aliquot sequence

As consecutive integers: 9,099 + 9,100 + … + 9,109 3,114 + 3,115 + … + 3,145 109 + 110 + … + 460
Aliquot sequence: 100,144 111,896 101,944 89,216 103,564 88,460 97,348 73,018 46,502 23,254 20,522 11,350 9,854 6,106 3,398 1,702 1,034 — unresolved within range

Representations

In words
one hundred thousand one hundred forty-four
Ordinal
100144th
Binary
11000011100110000
Octal
303460
Hexadecimal
0x18730
Base64
AYcw
One's complement
4,294,867,151 (32-bit)
In other bases
ternary (3) 12002101001
quaternary (4) 120130300
quinary (5) 11201034
senary (6) 2051344
septenary (7) 564652
nonary (9) 162331
undecimal (11) 69270
duodecimal (12) 49b54
tridecimal (13) 36775
tetradecimal (14) 286d2
pentadecimal (15) 1ea14

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρρμδʹ
Mayan (base 20)
𝋬·𝋪·𝋧·𝋤
Chinese
一十萬零一百四十四
Chinese (financial)
壹拾萬零壹佰肆拾肆
In other modern scripts
Eastern Arabic ١٠٠١٤٤ Devanagari १००१४४ Bengali ১০০১৪৪ Tamil ௧௦௦௧௪௪ Thai ๑๐๐๑๔๔ Tibetan ༡༠༠༡༤༤ Khmer ១០០១៤៤ Lao ໑໐໐໑໔໔ Burmese ၁၀၀၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100144, here are decompositions:

  • 41 + 100103 = 100144
  • 101 + 100043 = 100144
  • 173 + 99971 = 100144
  • 263 + 99881 = 100144
  • 311 + 99833 = 100144
  • 383 + 99761 = 100144
  • 431 + 99713 = 100144
  • 521 + 99623 = 100144

Showing the first eight; more decompositions exist.

Unicode codepoint
𘜰
Tangut Ideograph-18730
U+18730
Other letter (Lo)

UTF-8 encoding: F0 98 9C B0 (4 bytes).

Hex color
#018730
RGB(1, 135, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.135.48.

Address
0.1.135.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.135.48

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 100,144 and was likely granted around 1870.

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

Position in π

The digit sequence 100144 first appears in π at position 188,218 of the decimal expansion (the 188,218ordinal-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.