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146,448

146,448 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.).

146,448 (one hundred forty-six thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 50 divisors, and factors as 2⁴ × 3⁴ × 113. Its proper divisors sum to 281,166, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23C10.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
3,072
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
844,641
Recamán's sequence
a(215,520) = 146,448
Square (n²)
21,447,016,704
Cube (n³)
3,140,872,702,267,392
Divisor count
50
σ(n) — sum of divisors
427,614
φ(n) — Euler's totient
48,384
Sum of prime factors
133

Primality

Prime factorization: 2 4 × 3 4 × 113

Nearest primes: 146,437 (−11) · 146,449 (+1)

Divisors & multiples

All divisors (50)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 36 · 48 · 54 · 72 · 81 · 108 · 113 · 144 · 162 · 216 · 226 · 324 · 339 · 432 · 452 · 648 · 678 · 904 · 1017 · 1296 · 1356 · 1808 · 2034 · 2712 · 3051 · 4068 · 5424 · 6102 · 8136 · 9153 · 12204 · 16272 · 18306 · 24408 · 36612 · 48816 · 73224 (half) · 146448
Aliquot sum (sum of proper divisors): 281,166
Factor pairs (a × b = 146,448)
1 × 146448
2 × 73224
3 × 48816
4 × 36612
6 × 24408
8 × 18306
9 × 16272
12 × 12204
16 × 9153
18 × 8136
24 × 6102
27 × 5424
36 × 4068
48 × 3051
54 × 2712
72 × 2034
81 × 1808
108 × 1356
113 × 1296
144 × 1017
162 × 904
216 × 678
226 × 648
324 × 452
339 × 432
First multiples
146,448 · 292,896 (double) · 439,344 · 585,792 · 732,240 · 878,688 · 1,025,136 · 1,171,584 · 1,318,032 · 1,464,480

Sums & aliquot sequence

As a sum of two squares: 252² + 288²
As consecutive integers: 48,815 + 48,816 + 48,817 16,268 + 16,269 + … + 16,276 5,411 + 5,412 + … + 5,437 4,561 + 4,562 + … + 4,592
Aliquot sequence: 146,448 281,166 281,178 363,942 424,638 526,338 722,961 321,329 1 0 — terminates at zero

Continued fraction of √n

√146,448 = [382; (1, 2, 5, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 2, 1, 8, 1, 2, 1, 1, 1, 2, 2, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand four hundred forty-eight
Ordinal
146448th
Binary
100011110000010000
Octal
436020
Hexadecimal
0x23C10
Base64
AjwQ
One's complement
4,294,820,847 (32-bit)
Scientific notation
1.46448 × 10⁵
As a duration
146,448 s = 1 day, 16 hours, 40 minutes, 48 seconds
In other bases
ternary (3) 21102220000
quaternary (4) 203300100
quinary (5) 14141243
senary (6) 3050000
septenary (7) 1146651
nonary (9) 242800
undecimal (11) a0035
duodecimal (12) 70900
tridecimal (13) 51873
tetradecimal (14) 3b528
pentadecimal (15) 2d5d3

As an angle

146,448° = 406 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛυμηʹ
Mayan (base 20)
𝋲·𝋦·𝋢·𝋨
Chinese
一十四萬六千四百四十八
Chinese (financial)
壹拾肆萬陸仟肆佰肆拾捌
In other modern scripts
Eastern Arabic ١٤٦٤٤٨ Devanagari १४६४४८ Bengali ১৪৬৪৪৮ Tamil ௧௪௬௪௪௮ Thai ๑๔๖๔๔๘ Tibetan ༡༤༦༤༤༨ Khmer ១៤៦៤៤៨ Lao ໑໔໖໔໔໘ Burmese ၁၄၆၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146448, here are decompositions:

  • 11 + 146437 = 146448
  • 31 + 146417 = 146448
  • 41 + 146407 = 146448
  • 59 + 146389 = 146448
  • 67 + 146381 = 146448
  • 79 + 146369 = 146448
  • 89 + 146359 = 146448
  • 101 + 146347 = 146448

Showing the first eight; more decompositions exist.

Unicode codepoint
𣰐
CJK Unified Ideograph-23C10
U+23C10
Other letter (Lo)

UTF-8 encoding: F0 A3 B0 90 (4 bytes).

Hex color
#023C10
RGB(2, 60, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.60.16.

Address
0.2.60.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.60.16

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 146,448 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°.