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145,040

145,040 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.).

145,040 (one hundred forty-five thousand forty) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5 × 7² × 37. Its proper divisors sum to 257,836, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23690.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
40,541
Recamán's sequence
a(218,336) = 145,040
Square (n²)
21,036,601,600
Cube (n³)
3,051,148,696,064,000
Divisor count
60
σ(n) — sum of divisors
402,876
φ(n) — Euler's totient
48,384
Sum of prime factors
64

Primality

Prime factorization: 2 4 × 5 × 7 2 × 37

Nearest primes: 145,037 (−3) · 145,043 (+3)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 35 · 37 · 40 · 49 · 56 · 70 · 74 · 80 · 98 · 112 · 140 · 148 · 185 · 196 · 245 · 259 · 280 · 296 · 370 · 392 · 490 · 518 · 560 · 592 · 740 · 784 · 980 · 1036 · 1295 · 1480 · 1813 · 1960 · 2072 · 2590 · 2960 · 3626 · 3920 · 4144 · 5180 · 7252 · 9065 · 10360 · 14504 · 18130 · 20720 · 29008 · 36260 · 72520 (half) · 145040
Aliquot sum (sum of proper divisors): 257,836
Factor pairs (a × b = 145,040)
1 × 145040
2 × 72520
4 × 36260
5 × 29008
7 × 20720
8 × 18130
10 × 14504
14 × 10360
16 × 9065
20 × 7252
28 × 5180
35 × 4144
37 × 3920
40 × 3626
49 × 2960
56 × 2590
70 × 2072
74 × 1960
80 × 1813
98 × 1480
112 × 1295
140 × 1036
148 × 980
185 × 784
196 × 740
245 × 592
259 × 560
280 × 518
296 × 490
370 × 392
First multiples
145,040 · 290,080 (double) · 435,120 · 580,160 · 725,200 · 870,240 · 1,015,280 · 1,160,320 · 1,305,360 · 1,450,400

Sums & aliquot sequence

As a sum of two squares: 112² + 364² = 224² + 308²
As consecutive integers: 29,006 + 29,007 + 29,008 + 29,009 + 29,010 20,717 + 20,718 + … + 20,723 4,517 + 4,518 + … + 4,548 4,127 + 4,128 + … + 4,161
Aliquot sequence: 145,040 257,836 200,076 266,796 407,696 394,336 382,076 315,796 279,456 482,592 902,400 2,139,072 3,963,024 8,562,216 14,627,544 22,144,296 33,216,504 — unresolved within range

Continued fraction of √n

√145,040 = [380; (1, 5, 3, 2, 1, 1, 1, 14, 1, 10, 1, 3, 1, 1, 2, 3, 1, 14, 1, 3, 2, 1, 1, 3, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-five thousand forty
Ordinal
145040th
Binary
100011011010010000
Octal
433220
Hexadecimal
0x23690
Base64
AjaQ
One's complement
4,294,822,255 (32-bit)
Scientific notation
1.4504 × 10⁵
As a duration
145,040 s = 1 day, 16 hours, 17 minutes, 20 seconds
In other bases
ternary (3) 21100221212
quaternary (4) 203122100
quinary (5) 14120130
senary (6) 3035252
septenary (7) 1142600
nonary (9) 240855
undecimal (11) 99a75
duodecimal (12) 6bb28
tridecimal (13) 5102c
tetradecimal (14) 3ac00
pentadecimal (15) 2ce95

As an angle

145,040° = 402 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρμεμʹ
Mayan (base 20)
𝋲·𝋢·𝋬·𝋠
Chinese
一十四萬五千零四十
Chinese (financial)
壹拾肆萬伍仟零肆拾
In other modern scripts
Eastern Arabic ١٤٥٠٤٠ Devanagari १४५०४० Bengali ১৪৫০৪০ Tamil ௧௪௫௦௪௦ Thai ๑๔๕๐๔๐ Tibetan ༡༤༥༠༤༠ Khmer ១៤៥០៤០ Lao ໑໔໕໐໔໐ Burmese ၁၄၅၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 145040, here are decompositions:

  • 3 + 145037 = 145040
  • 19 + 145021 = 145040
  • 31 + 145009 = 145040
  • 67 + 144973 = 145040
  • 73 + 144967 = 145040
  • 79 + 144961 = 145040
  • 109 + 144931 = 145040
  • 151 + 144889 = 145040

Showing the first eight; more decompositions exist.

Unicode codepoint
𣚐
CJK Unified Ideograph-23690
U+23690
Other letter (Lo)

UTF-8 encoding: F0 A3 9A 90 (4 bytes).

Hex color
#023690
RGB(2, 54, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.54.144.

Address
0.2.54.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.54.144

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 145,040 and was likely granted around 1873.

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

Position in π

The digit sequence 145040 first appears in π at position 71,001 of the decimal expansion (the 71,001ordinal-suffix:st 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.