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140,448

140,448 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.).

140,448 (one hundred forty thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 7 × 11 × 19. Its proper divisors sum to 343,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x224A0.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
844,041
Recamán's sequence
a(487,931) = 140,448
Square (n²)
19,725,640,704
Cube (n³)
2,770,426,785,595,392
Divisor count
96
σ(n) — sum of divisors
483,840
φ(n) — Euler's totient
34,560
Sum of prime factors
50

Primality

Prime factorization: 2 5 × 3 × 7 × 11 × 19

Nearest primes: 140,443 (−5) · 140,449 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 11 · 12 · 14 · 16 · 19 · 21 · 22 · 24 · 28 · 32 · 33 · 38 · 42 · 44 · 48 · 56 · 57 · 66 · 76 · 77 · 84 · 88 · 96 · 112 · 114 · 132 · 133 · 152 · 154 · 168 · 176 · 209 · 224 · 228 · 231 · 264 · 266 · 304 · 308 · 336 · 352 · 399 · 418 · 456 · 462 · 528 · 532 · 608 · 616 · 627 · 672 · 798 · 836 · 912 · 924 · 1056 · 1064 · 1232 · 1254 · 1463 · 1596 · 1672 · 1824 · 1848 · 2128 · 2464 · 2508 · 2926 · 3192 · 3344 · 3696 · 4256 · 4389 · 5016 · 5852 · 6384 · 6688 · 7392 · 8778 · 10032 · 11704 · 12768 · 17556 · 20064 · 23408 · 35112 · 46816 · 70224 (half) · 140448
Aliquot sum (sum of proper divisors): 343,392
Factor pairs (a × b = 140,448)
1 × 140448
2 × 70224
3 × 46816
4 × 35112
6 × 23408
7 × 20064
8 × 17556
11 × 12768
12 × 11704
14 × 10032
16 × 8778
19 × 7392
21 × 6688
22 × 6384
24 × 5852
28 × 5016
32 × 4389
33 × 4256
38 × 3696
42 × 3344
44 × 3192
48 × 2926
56 × 2508
57 × 2464
66 × 2128
76 × 1848
77 × 1824
84 × 1672
88 × 1596
96 × 1463
112 × 1254
114 × 1232
132 × 1064
133 × 1056
152 × 924
154 × 912
168 × 836
176 × 798
209 × 672
224 × 627
228 × 616
231 × 608
264 × 532
266 × 528
304 × 462
308 × 456
336 × 418
352 × 399
First multiples
140,448 · 280,896 (double) · 421,344 · 561,792 · 702,240 · 842,688 · 983,136 · 1,123,584 · 1,264,032 · 1,404,480

Sums & aliquot sequence

As consecutive integers: 46,815 + 46,816 + 46,817 20,061 + 20,062 + … + 20,067 12,763 + 12,764 + … + 12,773 7,383 + 7,384 + … + 7,401
Aliquot sequence: 140,448 343,392 719,544 1,336,776 2,570,424 3,855,696 7,226,928 13,518,272 14,721,448 16,824,632 17,589,568 17,314,858 11,233,592 10,035,448 8,909,552 8,563,288 7,492,892 — unresolved within range

Continued fraction of √n

√140,448 = [374; (1, 3, 4, 4, 5, 187, 5, 4, 4, 3, 1, 748)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred forty thousand four hundred forty-eight
Ordinal
140448th
Binary
100010010010100000
Octal
422240
Hexadecimal
0x224A0
Base64
AiSg
One's complement
4,294,826,847 (32-bit)
Scientific notation
1.40448 × 10⁵
As a duration
140,448 s = 1 day, 15 hours, 48 seconds
In other bases
ternary (3) 21010122210
quaternary (4) 202102200
quinary (5) 13443243
senary (6) 3002120
septenary (7) 1123320
nonary (9) 233583
undecimal (11) 96580
duodecimal (12) 69340
tridecimal (13) 4bc09
tetradecimal (14) 39280
pentadecimal (15) 2b933

As an angle

140,448° = 390 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμυμηʹ
Mayan (base 20)
𝋱·𝋫·𝋢·𝋨
Chinese
一十四萬零四百四十八
Chinese (financial)
壹拾肆萬零肆佰肆拾捌
In other modern scripts
Eastern Arabic ١٤٠٤٤٨ Devanagari १४०४४८ Bengali ১৪০৪৪৮ Tamil ௧௪௦௪௪௮ Thai ๑๔๐๔๔๘ Tibetan ༡༤༠༤༤༨ Khmer ១៤០៤៤៨ Lao ໑໔໐໔໔໘ Burmese ၁၄၀၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 140448, here are decompositions:

  • 5 + 140443 = 140448
  • 29 + 140419 = 140448
  • 31 + 140417 = 140448
  • 37 + 140411 = 140448
  • 41 + 140407 = 140448
  • 47 + 140401 = 140448
  • 67 + 140381 = 140448
  • 97 + 140351 = 140448

Showing the first eight; more decompositions exist.

Unicode codepoint
𢒠
CJK Unified Ideograph-224A0
U+224A0
Other letter (Lo)

UTF-8 encoding: F0 A2 92 A0 (4 bytes).

Hex color
#0224A0
RGB(2, 36, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.36.160.

Address
0.2.36.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.36.160

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 140,448 and was likely granted around 1872.

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

Position in π

The digit sequence 140448 first appears in π at position 489,109 of the decimal expansion (the 489,109ordinal-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

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