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101,440

101,440 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.).
Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆
4 notable facts · grade D
101,428 101,429 101,430 101,431 101,432 101,433 101,434 101,435 101,436 101,437 101,438 101,439 101,440 101,441 101,442 101,443 101,444 101,445 101,446 101,447 101,448 101,449 101,450 101,451 101,452
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Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
44,101
Square (n²)
10,290,073,600
Cube (n³)
1,043,825,065,984,000
Divisor count
28
σ(n) — sum of divisors
242,316
φ(n) — Euler's totient
40,448
Sum of prime factors
334

Primality

Prime factorization: 2 6 × 5 × 317

Nearest primes: 101,429 (−11) · 101,449 (+9)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 160 · 317 · 320 · 634 · 1268 · 1585 · 2536 · 3170 · 5072 · 6340 · 10144 · 12680 · 20288 · 25360 · 50720 (half) · 101440
Aliquot sum (sum of proper divisors): 140,876
Factor pairs (a × b = 101,440)
1 × 101440
2 × 50720
4 × 25360
5 × 20288
8 × 12680
10 × 10144
16 × 6340
20 × 5072
32 × 3170
40 × 2536
64 × 1585
80 × 1268
160 × 634
317 × 320
First multiples
101,440 · 202,880 (double) · 304,320 · 405,760 · 507,200 · 608,640 · 710,080 · 811,520 · 912,960 · 1,014,400

Sums & aliquot sequence

As a sum of two squares: 64² + 312² = 136² + 288²
As consecutive integers: 20,286 + 20,287 + 20,288 + 20,289 + 20,290 729 + 730 + … + 856 162 + 163 + … + 478
Aliquot sequence: 101,440 → 140,876 → 111,964 → 92,660 → 108,436 → 81,334 → 51,794 → 34,606 → 26,882 → 13,444 → 10,090 → 8,090 → 6,490 → 6,470 → 5,194 → 4,040 → 5,140 — unresolved within range

Continued fraction of √n

√101,440 = [318; (2, 70, 3, 1, 1, 1, 1, 7, 3, 1, 19, 1, 3, 1, 3, 3, 1, 1, 41, 1, 8, 1, 41, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand four hundred forty
Ordinal
101440th
Binary
11000110001000000
Octal
306100
Hexadecimal
0x18C40
Base64
AYxA
One's complement
4,294,865,855 (32-bit)
Scientific notation
1.0144 × 10⁵
As a duration
101,440 s = 1 day, 4 hours, 10 minutes, 40 seconds
In other bases
ternary (3) 12011011001
quaternary (4) 120301000
quinary (5) 11221230
senary (6) 2101344
septenary (7) 601513
nonary (9) 164131
undecimal (11) 6a239
duodecimal (12) 4a854
tridecimal (13) 37231
tetradecimal (14) 28d7a
pentadecimal (15) 200ca

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ραυμʹ
Mayan (base 20)
𝋬·𝋭·𝋬·𝋠
Chinese
一十萬一千四百四十
Chinese (financial)
壹拾萬壹仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٠١٤٤٠ Devanagari १०१४४० Bengali ১০১৪৪০ Tamil ௧௦௧௪௪௦ Thai ๑๐๑๔๔๐ Tibetan ༡༠༡༤༤༠ Khmer ១០១៤៤០ Lao ໑໐໑໔໔໐ Burmese ၁၀၁၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101440, here are decompositions:

  • 11 + 101429 = 101440
  • 29 + 101411 = 101440
  • 41 + 101399 = 101440
  • 107 + 101333 = 101440
  • 167 + 101273 = 101440
  • 173 + 101267 = 101440
  • 233 + 101207 = 101440
  • 257 + 101183 = 101440

Showing the first eight; more decompositions exist.

Unicode codepoint
𘱀
Khitan Small Script Character-18C40
U+18C40
Other letter (Lo)

UTF-8 encoding: F0 98 B1 80 (4 bytes).

Lookup U+18C40 on Compart ↗ Lookup on FileFormat.Info ↗
Hex color
#018C40
RGB(1, 140, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.140.64.

Address
0.1.140.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.140.64

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 101,440 and was likely granted around 1870.

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

Look up US101,440 on Google Patents ↗ Look up on USPTO ↗
Position in π

The digit sequence 101440 first appears in π at position 882,997 of the decimal expansion (the 882,997ordinal-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.

Look up 101440 on Pi Search ↗