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148,400

148,400 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.).

148,400 (one hundred forty-eight thousand four hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 7 × 53. Its proper divisors sum to 266,752, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x243B0.

Abundant Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
4,841
Recamán's sequence
a(211,616) = 148,400
Square (n²)
22,022,560,000
Cube (n³)
3,268,147,904,000,000
Divisor count
60
σ(n) — sum of divisors
415,152
φ(n) — Euler's totient
49,920
Sum of prime factors
78

Primality

Prime factorization: 2 4 × 5 2 × 7 × 53

Nearest primes: 148,399 (−1) · 148,403 (+3)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 25 · 28 · 35 · 40 · 50 · 53 · 56 · 70 · 80 · 100 · 106 · 112 · 140 · 175 · 200 · 212 · 265 · 280 · 350 · 371 · 400 · 424 · 530 · 560 · 700 · 742 · 848 · 1060 · 1325 · 1400 · 1484 · 1855 · 2120 · 2650 · 2800 · 2968 · 3710 · 4240 · 5300 · 5936 · 7420 · 9275 · 10600 · 14840 · 18550 · 21200 · 29680 · 37100 · 74200 (half) · 148400
Aliquot sum (sum of proper divisors): 266,752
Factor pairs (a × b = 148,400)
1 × 148400
2 × 74200
4 × 37100
5 × 29680
7 × 21200
8 × 18550
10 × 14840
14 × 10600
16 × 9275
20 × 7420
25 × 5936
28 × 5300
35 × 4240
40 × 3710
50 × 2968
53 × 2800
56 × 2650
70 × 2120
80 × 1855
100 × 1484
106 × 1400
112 × 1325
140 × 1060
175 × 848
200 × 742
212 × 700
265 × 560
280 × 530
350 × 424
371 × 400
First multiples
148,400 · 296,800 (double) · 445,200 · 593,600 · 742,000 · 890,400 · 1,038,800 · 1,187,200 · 1,335,600 · 1,484,000

Sums & aliquot sequence

As consecutive integers: 29,678 + 29,679 + 29,680 + 29,681 + 29,682 21,197 + 21,198 + … + 21,203 5,924 + 5,925 + … + 5,948 4,622 + 4,623 + … + 4,653
Aliquot sequence: 148,400 266,752 267,254 188,026 101,018 53,530 45,614 22,810 18,266 9,136 8,596 8,652 14,644 14,700 34,776 80,424 137,586 — unresolved within range

Continued fraction of √n

√148,400 = [385; (4, 2, 2, 30, 2, 2, 4, 770)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-eight thousand four hundred
Ordinal
148400th
Binary
100100001110110000
Octal
441660
Hexadecimal
0x243B0
Base64
AkOw
One's complement
4,294,818,895 (32-bit)
Scientific notation
1.484 × 10⁵
As a duration
148,400 s = 1 day, 17 hours, 13 minutes, 20 seconds
In other bases
ternary (3) 21112120022
quaternary (4) 210032300
quinary (5) 14222100
senary (6) 3103012
septenary (7) 1155440
nonary (9) 245508
undecimal (11) a154a
duodecimal (12) 71a68
tridecimal (13) 52715
tetradecimal (14) 3c120
pentadecimal (15) 2de85

As an angle

148,400° = 412 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρμηυʹ
Mayan (base 20)
𝋲·𝋫·𝋠·𝋠
Chinese
一十四萬八千四百
Chinese (financial)
壹拾肆萬捌仟肆佰
In other modern scripts
Eastern Arabic ١٤٨٤٠٠ Devanagari १४८४०० Bengali ১৪৮৪০০ Tamil ௧௪௮௪௦௦ Thai ๑๔๘๔๐๐ Tibetan ༡༤༨༤༠༠ Khmer ១៤៨៤០០ Lao ໑໔໘໔໐໐ Burmese ၁၄၈၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 148400, here are decompositions:

  • 13 + 148387 = 148400
  • 19 + 148381 = 148400
  • 61 + 148339 = 148400
  • 97 + 148303 = 148400
  • 151 + 148249 = 148400
  • 157 + 148243 = 148400
  • 193 + 148207 = 148400
  • 199 + 148201 = 148400

Showing the first eight; more decompositions exist.

Unicode codepoint
𤎰
CJK Unified Ideograph-243B0
U+243B0
Other letter (Lo)

UTF-8 encoding: F0 A4 8E B0 (4 bytes).

Hex color
#0243B0
RGB(2, 67, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.67.176.

Address
0.2.67.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.67.176

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 148,400 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 148400 first appears in π at position 562,709 of the decimal expansion (the 562,709ordinal-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

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