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124,440

124,440 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.).

124,440 (one hundred twenty-four thousand four hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 17 × 61. Its proper divisors sum to 277,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E618.

Abundant Number Evil Number Gapful Number Harshad / Niven Octagonal Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
44,421
Recamán's sequence
a(237,284) = 124,440
Square (n²)
15,485,313,600
Cube (n³)
1,926,992,424,384,000
Divisor count
64
σ(n) — sum of divisors
401,760
φ(n) — Euler's totient
30,720
Sum of prime factors
92

Primality

Prime factorization: 2 3 × 3 × 5 × 17 × 61

Nearest primes: 124,433 (−7) · 124,447 (+7)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 17 · 20 · 24 · 30 · 34 · 40 · 51 · 60 · 61 · 68 · 85 · 102 · 120 · 122 · 136 · 170 · 183 · 204 · 244 · 255 · 305 · 340 · 366 · 408 · 488 · 510 · 610 · 680 · 732 · 915 · 1020 · 1037 · 1220 · 1464 · 1830 · 2040 · 2074 · 2440 · 3111 · 3660 · 4148 · 5185 · 6222 · 7320 · 8296 · 10370 · 12444 · 15555 · 20740 · 24888 · 31110 · 41480 · 62220 (half) · 124440
Aliquot sum (sum of proper divisors): 277,320
Factor pairs (a × b = 124,440)
1 × 124440
2 × 62220
3 × 41480
4 × 31110
5 × 24888
6 × 20740
8 × 15555
10 × 12444
12 × 10370
15 × 8296
17 × 7320
20 × 6222
24 × 5185
30 × 4148
34 × 3660
40 × 3111
51 × 2440
60 × 2074
61 × 2040
68 × 1830
85 × 1464
102 × 1220
120 × 1037
122 × 1020
136 × 915
170 × 732
183 × 680
204 × 610
244 × 510
255 × 488
305 × 408
340 × 366
First multiples
124,440 · 248,880 (double) · 373,320 · 497,760 · 622,200 · 746,640 · 871,080 · 995,520 · 1,119,960 · 1,244,400

Sums & aliquot sequence

As consecutive integers: 41,479 + 41,480 + 41,481 24,886 + 24,887 + 24,888 + 24,889 + 24,890 8,289 + 8,290 + … + 8,303 7,770 + 7,771 + … + 7,785
Aliquot sequence: 124,440 277,320 555,000 1,225,680 2,574,672 4,076,688 9,065,328 14,353,560 35,900,280 93,022,920 210,872,880 497,310,960 1,044,353,760 2,245,362,096 3,611,485,264 3,537,882,730 2,852,973,854 — unresolved within range

Continued fraction of √n

√124,440 = [352; (1, 3, 5, 1, 2, 8, 1, 13, 1, 1, 46, 1, 1, 13, 1, 8, 2, 1, 5, 3, 1, 704)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-four thousand four hundred forty
Ordinal
124440th
Binary
11110011000011000
Octal
363030
Hexadecimal
0x1E618
Base64
AeYY
One's complement
4,294,842,855 (32-bit)
Scientific notation
1.2444 × 10⁵
As a duration
124,440 s = 1 day, 10 hours, 34 minutes
In other bases
ternary (3) 20022200220
quaternary (4) 132120120
quinary (5) 12440230
senary (6) 2400040
septenary (7) 1025541
nonary (9) 208626
undecimal (11) 85548
duodecimal (12) 60020
tridecimal (13) 44844
tetradecimal (14) 334c8
pentadecimal (15) 26d10
Palindromic in base 13

As an angle

124,440° = 345 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκδυμʹ
Mayan (base 20)
𝋯·𝋫·𝋢·𝋠
Chinese
一十二萬四千四百四十
Chinese (financial)
壹拾貳萬肆仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٢٤٤٤٠ Devanagari १२४४४० Bengali ১২৪৪৪০ Tamil ௧௨௪௪௪௦ Thai ๑๒๔๔๔๐ Tibetan ༡༢༤༤༤༠ Khmer ១២៤៤៤០ Lao ໑໒໔໔໔໐ Burmese ၁၂၄၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 124440, here are decompositions:

  • 7 + 124433 = 124440
  • 11 + 124429 = 124440
  • 13 + 124427 = 124440
  • 73 + 124367 = 124440
  • 89 + 124351 = 124440
  • 97 + 124343 = 124440
  • 101 + 124339 = 124440
  • 103 + 124337 = 124440

Showing the first eight; more decompositions exist.

Hex color
#01E618
RGB(1, 230, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.230.24.

Address
0.1.230.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.230.24

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 124,440 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 124440 first appears in π at position 284,648 of the decimal expansion (the 284,648ordinal-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°.