number.wiki
Live analysis

118,440

118,440 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.).

118,440 (one hundred eighteen thousand four hundred forty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 7 × 47. Its proper divisors sum to 330,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CEA8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Vampire Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
44,811
Recamán's sequence
a(243,216) = 118,440
Square (n²)
14,028,033,600
Cube (n³)
1,661,480,299,584,000
Divisor count
96
σ(n) — sum of divisors
449,280
φ(n) — Euler's totient
26,496
Sum of prime factors
71

Primality

Prime factorization: 2 3 × 3 2 × 5 × 7 × 47

Nearest primes: 118,429 (−11) · 118,453 (+13)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 24 · 28 · 30 · 35 · 36 · 40 · 42 · 45 · 47 · 56 · 60 · 63 · 70 · 72 · 84 · 90 · 94 · 105 · 120 · 126 · 140 · 141 · 168 · 180 · 188 · 210 · 235 · 252 · 280 · 282 · 315 · 329 · 360 · 376 · 420 · 423 · 470 · 504 · 564 · 630 · 658 · 705 · 840 · 846 · 940 · 987 · 1128 · 1260 · 1316 · 1410 · 1645 · 1692 · 1880 · 1974 · 2115 · 2520 · 2632 · 2820 · 2961 · 3290 · 3384 · 3948 · 4230 · 4935 · 5640 · 5922 · 6580 · 7896 · 8460 · 9870 · 11844 · 13160 · 14805 · 16920 · 19740 · 23688 · 29610 · 39480 · 59220 (half) · 118440
Aliquot sum (sum of proper divisors): 330,840
Factor pairs (a × b = 118,440)
1 × 118440
2 × 59220
3 × 39480
4 × 29610
5 × 23688
6 × 19740
7 × 16920
8 × 14805
9 × 13160
10 × 11844
12 × 9870
14 × 8460
15 × 7896
18 × 6580
20 × 5922
21 × 5640
24 × 4935
28 × 4230
30 × 3948
35 × 3384
36 × 3290
40 × 2961
42 × 2820
45 × 2632
47 × 2520
56 × 2115
60 × 1974
63 × 1880
70 × 1692
72 × 1645
84 × 1410
90 × 1316
94 × 1260
105 × 1128
120 × 987
126 × 940
140 × 846
141 × 840
168 × 705
180 × 658
188 × 630
210 × 564
235 × 504
252 × 470
280 × 423
282 × 420
315 × 376
329 × 360
First multiples
118,440 · 236,880 (double) · 355,320 · 473,760 · 592,200 · 710,640 · 829,080 · 947,520 · 1,065,960 · 1,184,400

Sums & aliquot sequence

As consecutive integers: 39,479 + 39,480 + 39,481 23,686 + 23,687 + 23,688 + 23,689 + 23,690 16,917 + 16,918 + … + 16,923 13,156 + 13,157 + … + 13,164
Aliquot sequence: 118,440 330,840 745,560 1,828,440 4,269,960 10,121,040 23,871,204 45,090,780 102,667,572 199,563,084 387,252,600 984,742,920 2,911,862,520 8,273,474,280 18,615,318,300 — keeps growing

Continued fraction of √n

√118,440 = [344; (6, 1, 1, 1, 1, 1, 1, 3, 2, 5, 4, 76, 4, 5, 2, 3, 1, 1, 1, 1, 1, 1, 6, 688)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred eighteen thousand four hundred forty
Ordinal
118440th
Binary
11100111010101000
Octal
347250
Hexadecimal
0x1CEA8
Base64
Ac6o
One's complement
4,294,848,855 (32-bit)
Scientific notation
1.1844 × 10⁵
As a duration
118,440 s = 1 day, 8 hours, 54 minutes
In other bases
ternary (3) 20000110200
quaternary (4) 130322220
quinary (5) 12242230
senary (6) 2312200
septenary (7) 1002210
nonary (9) 200420
undecimal (11) 80a93
duodecimal (12) 58660
tridecimal (13) 41baa
tetradecimal (14) 31240
pentadecimal (15) 25160

As an angle

118,440° = 329 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριηυμʹ
Mayan (base 20)
𝋮·𝋰·𝋢·𝋠
Chinese
一十一萬八千四百四十
Chinese (financial)
壹拾壹萬捌仟肆佰肆拾
In other modern scripts
Eastern Arabic ١١٨٤٤٠ Devanagari ११८४४० Bengali ১১৮৪৪০ Tamil ௧௧௮௪௪௦ Thai ๑๑๘๔๔๐ Tibetan ༡༡༨༤༤༠ Khmer ១១៨៤៤០ Lao ໑໑໘໔໔໐ Burmese ၁၁၈၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 118440, here are decompositions:

  • 11 + 118429 = 118440
  • 17 + 118423 = 118440
  • 29 + 118411 = 118440
  • 31 + 118409 = 118440
  • 41 + 118399 = 118440
  • 53 + 118387 = 118440
  • 67 + 118373 = 118440
  • 71 + 118369 = 118440

Showing the first eight; more decompositions exist.

Unicode codepoint
𜺨
Left Half Upper One Quarter Block
U+1CEA8
Other symbol (So)

UTF-8 encoding: F0 9C BA A8 (4 bytes).

Hex color
#01CEA8
RGB(1, 206, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.206.168.

Address
0.1.206.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.206.168

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 118,440 and was likely granted around 1871.

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

Position in π

The digit sequence 118440 first appears in π at position 162,460 of the decimal expansion (the 162,460ordinal-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

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