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145,008

145,008 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.).

145,008 (one hundred forty-five thousand eight) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 19 × 53. Its proper divisors sum to 290,232, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23670.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
800,541
Recamán's sequence
a(218,400) = 145,008
Square (n²)
21,027,320,064
Cube (n³)
3,049,129,627,840,512
Divisor count
60
σ(n) — sum of divisors
435,240
φ(n) — Euler's totient
44,928
Sum of prime factors
86

Primality

Prime factorization: 2 4 × 3 2 × 19 × 53

Nearest primes: 145,007 (−1) · 145,009 (+1)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 19 · 24 · 36 · 38 · 48 · 53 · 57 · 72 · 76 · 106 · 114 · 144 · 152 · 159 · 171 · 212 · 228 · 304 · 318 · 342 · 424 · 456 · 477 · 636 · 684 · 848 · 912 · 954 · 1007 · 1272 · 1368 · 1908 · 2014 · 2544 · 2736 · 3021 · 3816 · 4028 · 6042 · 7632 · 8056 · 9063 · 12084 · 16112 · 18126 · 24168 · 36252 · 48336 · 72504 (half) · 145008
Aliquot sum (sum of proper divisors): 290,232
Factor pairs (a × b = 145,008)
1 × 145008
2 × 72504
3 × 48336
4 × 36252
6 × 24168
8 × 18126
9 × 16112
12 × 12084
16 × 9063
18 × 8056
19 × 7632
24 × 6042
36 × 4028
38 × 3816
48 × 3021
53 × 2736
57 × 2544
72 × 2014
76 × 1908
106 × 1368
114 × 1272
144 × 1007
152 × 954
159 × 912
171 × 848
212 × 684
228 × 636
304 × 477
318 × 456
342 × 424
First multiples
145,008 · 290,016 (double) · 435,024 · 580,032 · 725,040 · 870,048 · 1,015,056 · 1,160,064 · 1,305,072 · 1,450,080

Sums & aliquot sequence

As consecutive integers: 48,335 + 48,336 + 48,337 16,108 + 16,109 + … + 16,116 7,623 + 7,624 + … + 7,641 4,516 + 4,517 + … + 4,547
Aliquot sequence: 145,008 290,232 528,768 1,141,992 2,227,608 3,960,792 8,048,808 14,497,122 14,537,598 14,634,258 14,634,270 32,410,530 54,739,962 67,918,464 146,893,536 270,835,776 505,467,726 — unresolved within range

Continued fraction of √n

√145,008 = [380; (1, 3, 1, 46, 1, 3, 1, 760)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-five thousand eight
Ordinal
145008th
Binary
100011011001110000
Octal
433160
Hexadecimal
0x23670
Base64
AjZw
One's complement
4,294,822,287 (32-bit)
Scientific notation
1.45008 × 10⁵
As a duration
145,008 s = 1 day, 16 hours, 16 minutes, 48 seconds
In other bases
ternary (3) 21100220200
quaternary (4) 203121300
quinary (5) 14120013
senary (6) 3035200
septenary (7) 1142523
nonary (9) 240820
undecimal (11) 99a46
duodecimal (12) 6bb00
tridecimal (13) 51006
tetradecimal (14) 3abba
pentadecimal (15) 2ce73

As an angle

145,008° = 402 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμεηʹ
Mayan (base 20)
𝋲·𝋢·𝋪·𝋨
Chinese
一十四萬五千零八
Chinese (financial)
壹拾肆萬伍仟零捌
In other modern scripts
Eastern Arabic ١٤٥٠٠٨ Devanagari १४५००८ Bengali ১৪৫০০৮ Tamil ௧௪௫௦௦௮ Thai ๑๔๕๐๐๘ Tibetan ༡༤༥༠༠༨ Khmer ១៤៥០០៨ Lao ໑໔໕໐໐໘ Burmese ၁၄၅၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 145008, here are decompositions:

  • 41 + 144967 = 145008
  • 47 + 144961 = 145008
  • 67 + 144941 = 145008
  • 109 + 144899 = 145008
  • 179 + 144829 = 145008
  • 191 + 144817 = 145008
  • 229 + 144779 = 145008
  • 251 + 144757 = 145008

Showing the first eight; more decompositions exist.

Unicode codepoint
𣙰
CJK Unified Ideograph-23670
U+23670
Other letter (Lo)

UTF-8 encoding: F0 A3 99 B0 (4 bytes).

Hex color
#023670
RGB(2, 54, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.54.112.

Address
0.2.54.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.54.112

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 145,008 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

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