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150,040

150,040 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.).

150,040 (one hundred fifty thousand forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5 × 11² × 31. Its proper divisors sum to 233,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x24A18.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
40,051
Square (n²)
22,512,001,600
Cube (n³)
3,377,700,720,064,000
Divisor count
48
σ(n) — sum of divisors
383,040
φ(n) — Euler's totient
52,800
Sum of prime factors
64

Primality

Prime factorization: 2 3 × 5 × 11 2 × 31

Nearest primes: 150,011 (−29) · 150,041 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 20 · 22 · 31 · 40 · 44 · 55 · 62 · 88 · 110 · 121 · 124 · 155 · 220 · 242 · 248 · 310 · 341 · 440 · 484 · 605 · 620 · 682 · 968 · 1210 · 1240 · 1364 · 1705 · 2420 · 2728 · 3410 · 3751 · 4840 · 6820 · 7502 · 13640 · 15004 · 18755 · 30008 · 37510 · 75020 (half) · 150040
Aliquot sum (sum of proper divisors): 233,000
Factor pairs (a × b = 150,040)
1 × 150040
2 × 75020
4 × 37510
5 × 30008
8 × 18755
10 × 15004
11 × 13640
20 × 7502
22 × 6820
31 × 4840
40 × 3751
44 × 3410
55 × 2728
62 × 2420
88 × 1705
110 × 1364
121 × 1240
124 × 1210
155 × 968
220 × 682
242 × 620
248 × 605
310 × 484
341 × 440
First multiples
150,040 · 300,080 (double) · 450,120 · 600,160 · 750,200 · 900,240 · 1,050,280 · 1,200,320 · 1,350,360 · 1,500,400

Sums & aliquot sequence

As consecutive integers: 30,006 + 30,007 + 30,008 + 30,009 + 30,010 13,635 + 13,636 + … + 13,645 9,370 + 9,371 + … + 9,385 4,825 + 4,826 + … + 4,855
Aliquot sequence: 150,040 233,000 314,560 435,248 485,080 628,760 915,640 1,332,920 1,734,280 2,205,560 3,466,600 4,593,710 4,426,882 2,213,444 1,808,476 1,366,724 1,025,050 — unresolved within range

Continued fraction of √n

√150,040 = [387; (2, 1, 6, 85, 1, 12, 1, 5, 2, 9, 9, 1, 2, 2, 1, 15, 9, 6, 3, 2, 2, 1, 2, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred fifty thousand forty
Ordinal
150040th
Binary
100100101000011000
Octal
445030
Hexadecimal
0x24A18
Base64
AkoY
One's complement
4,294,817,255 (32-bit)
Scientific notation
1.5004 × 10⁵
As a duration
150,040 s = 1 day, 17 hours, 40 minutes, 40 seconds
In other bases
ternary (3) 21121211001
quaternary (4) 210220120
quinary (5) 14300130
senary (6) 3114344
septenary (7) 1163302
nonary (9) 247731
undecimal (11) a2800
duodecimal (12) 729b4
tridecimal (13) 533a7
tetradecimal (14) 3c972
pentadecimal (15) 2e6ca

As an angle

150,040° = 416 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρνμʹ
Mayan (base 20)
𝋲·𝋯·𝋢·𝋠
Chinese
一十五萬零四十
Chinese (financial)
壹拾伍萬零肆拾
In other modern scripts
Eastern Arabic ١٥٠٠٤٠ Devanagari १५००४० Bengali ১৫০০৪০ Tamil ௧௫௦௦௪௦ Thai ๑๕๐๐๔๐ Tibetan ༡༥༠༠༤༠ Khmer ១៥០០៤០ Lao ໑໕໐໐໔໐ Burmese ၁၅၀၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 150040, here are decompositions:

  • 29 + 150011 = 150040
  • 47 + 149993 = 150040
  • 71 + 149969 = 150040
  • 101 + 149939 = 150040
  • 131 + 149909 = 150040
  • 167 + 149873 = 150040
  • 173 + 149867 = 150040
  • 179 + 149861 = 150040

Showing the first eight; more decompositions exist.

Unicode codepoint
𤨘
CJK Unified Ideograph-24A18
U+24A18
Other letter (Lo)

UTF-8 encoding: F0 A4 A8 98 (4 bytes).

Hex color
#024A18
RGB(2, 74, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.74.24.

Address
0.2.74.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.74.24

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 150,040 and was likely granted around 1873.

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

Related reading