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140,140

140,140 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.).

140,140 (one hundred forty thousand one hundred forty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 5 × 7² × 11 × 13. Its proper divisors sum to 262,052, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2236C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
41,041
Recamán's sequence
a(488,547) = 140,140
Square (n²)
19,639,219,600
Cube (n³)
2,752,240,234,744,000
Divisor count
72
σ(n) — sum of divisors
402,192
φ(n) — Euler's totient
40,320
Sum of prime factors
47

Primality

Prime factorization: 2 2 × 5 × 7 2 × 11 × 13

Nearest primes: 140,123 (−17) · 140,143 (+3)

Divisors & multiples

All divisors (72)
1 · 2 · 4 · 5 · 7 · 10 · 11 · 13 · 14 · 20 · 22 · 26 · 28 · 35 · 44 · 49 · 52 · 55 · 65 · 70 · 77 · 91 · 98 · 110 · 130 · 140 · 143 · 154 · 182 · 196 · 220 · 245 · 260 · 286 · 308 · 364 · 385 · 455 · 490 · 539 · 572 · 637 · 715 · 770 · 910 · 980 · 1001 · 1078 · 1274 · 1430 · 1540 · 1820 · 2002 · 2156 · 2548 · 2695 · 2860 · 3185 · 4004 · 5005 · 5390 · 6370 · 7007 · 10010 · 10780 · 12740 · 14014 · 20020 · 28028 · 35035 · 70070 (half) · 140140
Aliquot sum (sum of proper divisors): 262,052
Factor pairs (a × b = 140,140)
1 × 140140
2 × 70070
4 × 35035
5 × 28028
7 × 20020
10 × 14014
11 × 12740
13 × 10780
14 × 10010
20 × 7007
22 × 6370
26 × 5390
28 × 5005
35 × 4004
44 × 3185
49 × 2860
52 × 2695
55 × 2548
65 × 2156
70 × 2002
77 × 1820
91 × 1540
98 × 1430
110 × 1274
130 × 1078
140 × 1001
143 × 980
154 × 910
182 × 770
196 × 715
220 × 637
245 × 572
260 × 539
286 × 490
308 × 455
364 × 385
First multiples
140,140 · 280,280 (double) · 420,420 · 560,560 · 700,700 · 840,840 · 980,980 · 1,121,120 · 1,261,260 · 1,401,400

Sums & aliquot sequence

As consecutive integers: 28,026 + 28,027 + 28,028 + 28,029 + 28,030 20,017 + 20,018 + … + 20,023 17,514 + 17,515 + … + 17,521 12,735 + 12,736 + … + 12,745
Aliquot sequence: 140,140 262,052 275,548 318,724 318,780 939,204 1,774,780 2,563,148 2,563,204 2,730,364 3,192,980 4,470,508 4,607,764 4,772,726 3,409,114 1,741,766 1,163,962 — unresolved within range

Continued fraction of √n

√140,140 = [374; (2, 1, 5, 20, 1, 1, 1, 1, 1, 3, 5, 9, 18, 1, 1, 1, 1, 3, 1, 14, 2, 82, 1, 2, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred forty thousand one hundred forty
Ordinal
140140th
Binary
100010001101101100
Octal
421554
Hexadecimal
0x2236C
Base64
AiNs
One's complement
4,294,827,155 (32-bit)
Scientific notation
1.4014 × 10⁵
As a duration
140,140 s = 1 day, 14 hours, 55 minutes, 40 seconds
In other bases
ternary (3) 21010020101
quaternary (4) 202031230
quinary (5) 13441030
senary (6) 3000444
septenary (7) 1122400
nonary (9) 233211
undecimal (11) 96320
duodecimal (12) 69124
tridecimal (13) 4ba30
tetradecimal (14) 39100
pentadecimal (15) 2b7ca

As an angle

140,140° = 389 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρμρμʹ
Mayan (base 20)
𝋱·𝋪·𝋧·𝋠
Chinese
一十四萬零一百四十
Chinese (financial)
壹拾肆萬零壹佰肆拾
In other modern scripts
Eastern Arabic ١٤٠١٤٠ Devanagari १४०१४० Bengali ১৪০১৪০ Tamil ௧௪௦௧௪௦ Thai ๑๔๐๑๔๐ Tibetan ༡༤༠༡༤༠ Khmer ១៤០១៤០ Lao ໑໔໐໑໔໐ Burmese ၁၄၀၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 140140, here are decompositions:

  • 17 + 140123 = 140140
  • 29 + 140111 = 140140
  • 71 + 140069 = 140140
  • 83 + 140057 = 140140
  • 131 + 140009 = 140140
  • 149 + 139991 = 140140
  • 173 + 139967 = 140140
  • 197 + 139943 = 140140

Showing the first eight; more decompositions exist.

Unicode codepoint
𢍬
CJK Unified Ideograph-2236C
U+2236C
Other letter (Lo)

UTF-8 encoding: F0 A2 8D AC (4 bytes).

Hex color
#02236C
RGB(2, 35, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.35.108.

Address
0.2.35.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.35.108

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 140,140 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 140140 first appears in π at position 813,007 of the decimal expansion (the 813,007ordinal-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