number.wiki
Live analysis

114,240

114,240 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.).

114,240 (one hundred fourteen thousand two hundred forty) is an even 6-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3 × 5 × 7 × 17. Its proper divisors sum to 324,672, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BE40.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
42,411
Recamán's sequence
a(57,267) = 114,240
Square (n²)
13,050,777,600
Cube (n³)
1,490,920,833,024,000
Divisor count
112
σ(n) — sum of divisors
438,912
φ(n) — Euler's totient
24,576
Sum of prime factors
44

Primality

Prime factorization: 2 6 × 3 × 5 × 7 × 17

Nearest primes: 114,229 (−11) · 114,259 (+19)

Divisors & multiples

All divisors (112)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 17 · 20 · 21 · 24 · 28 · 30 · 32 · 34 · 35 · 40 · 42 · 48 · 51 · 56 · 60 · 64 · 68 · 70 · 80 · 84 · 85 · 96 · 102 · 105 · 112 · 119 · 120 · 136 · 140 · 160 · 168 · 170 · 192 · 204 · 210 · 224 · 238 · 240 · 255 · 272 · 280 · 320 · 336 · 340 · 357 · 408 · 420 · 448 · 476 · 480 · 510 · 544 · 560 · 595 · 672 · 680 · 714 · 816 · 840 · 952 · 960 · 1020 · 1088 · 1120 · 1190 · 1344 · 1360 · 1428 · 1632 · 1680 · 1785 · 1904 · 2040 · 2240 · 2380 · 2720 · 2856 · 3264 · 3360 · 3570 · 3808 · 4080 · 4760 · 5440 · 5712 · 6720 · 7140 · 7616 · 8160 · 9520 · 11424 · 14280 · 16320 · 19040 · 22848 · 28560 · 38080 · 57120 (half) · 114240
Aliquot sum (sum of proper divisors): 324,672
Factor pairs (a × b = 114,240)
1 × 114240
2 × 57120
3 × 38080
4 × 28560
5 × 22848
6 × 19040
7 × 16320
8 × 14280
10 × 11424
12 × 9520
14 × 8160
15 × 7616
16 × 7140
17 × 6720
20 × 5712
21 × 5440
24 × 4760
28 × 4080
30 × 3808
32 × 3570
34 × 3360
35 × 3264
40 × 2856
42 × 2720
48 × 2380
51 × 2240
56 × 2040
60 × 1904
64 × 1785
68 × 1680
70 × 1632
80 × 1428
84 × 1360
85 × 1344
96 × 1190
102 × 1120
105 × 1088
112 × 1020
119 × 960
120 × 952
136 × 840
140 × 816
160 × 714
168 × 680
170 × 672
192 × 595
204 × 560
210 × 544
224 × 510
238 × 480
240 × 476
255 × 448
272 × 420
280 × 408
320 × 357
336 × 340
First multiples
114,240 · 228,480 (double) · 342,720 · 456,960 · 571,200 · 685,440 · 799,680 · 913,920 · 1,028,160 · 1,142,400

Sums & aliquot sequence

As consecutive integers: 38,079 + 38,080 + 38,081 22,846 + 22,847 + 22,848 + 22,849 + 22,850 16,317 + 16,318 + … + 16,323 7,609 + 7,610 + … + 7,623
Aliquot sequence: 114,240 324,672 589,728 958,560 2,062,416 3,265,616 3,061,546 1,772,534 891,946 567,638 287,050 246,956 190,012 147,948 197,292 275,460 495,996 — unresolved within range

Continued fraction of √n

√114,240 = [337; (1, 167, 1, 674)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred fourteen thousand two hundred forty
Ordinal
114240th
Binary
11011111001000000
Octal
337100
Hexadecimal
0x1BE40
Base64
Ab5A
One's complement
4,294,853,055 (32-bit)
Scientific notation
1.1424 × 10⁵
As a duration
114,240 s = 1 day, 7 hours, 44 minutes
In other bases
ternary (3) 12210201010
quaternary (4) 123321000
quinary (5) 12123430
senary (6) 2240520
septenary (7) 654030
nonary (9) 183633
undecimal (11) 78915
duodecimal (12) 56140
tridecimal (13) 3ccc9
tetradecimal (14) 2d8c0
pentadecimal (15) 23cb0

As an angle

114,240° = 317 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριδσμʹ
Mayan (base 20)
𝋮·𝋥·𝋬·𝋠
Chinese
一十一萬四千二百四十
Chinese (financial)
壹拾壹萬肆仟貳佰肆拾
In other modern scripts
Eastern Arabic ١١٤٢٤٠ Devanagari ११४२४० Bengali ১১৪২৪০ Tamil ௧௧௪௨௪௦ Thai ๑๑๔๒๔๐ Tibetan ༡༡༤༢༤༠ Khmer ១១៤២៤០ Lao ໑໑໔໒໔໐ Burmese ၁၁၄၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 114240, here are decompositions:

  • 11 + 114229 = 114240
  • 19 + 114221 = 114240
  • 23 + 114217 = 114240
  • 37 + 114203 = 114240
  • 41 + 114199 = 114240
  • 43 + 114197 = 114240
  • 47 + 114193 = 114240
  • 73 + 114167 = 114240

Showing the first eight; more decompositions exist.

Hex color
#01BE40
RGB(1, 190, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.190.64.

Address
0.1.190.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.190.64

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 114,240 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 114240 first appears in π at position 226,483 of the decimal expansion (the 226,483ordinal-suffix:rd 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°.