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14114433040 = 245448139373
BaseRepresentation
bin11010010010100100…
…10010100000010000
31100102122210111012021
431021102102200100
5212401243324130
610252321141224
71006524462361
oct151122224020
940378714167
1014114433040
115a932584a4
12289aa8a814
13143c236c36
1497c783b68
155791d937a
hex349492810

14114433040 has 40 divisors (see below), whose sum is σ = 32824213848. Its totient is φ = 5644369920.

The previous prime is 14114433029. The next prime is 14114433041. The reversal of 14114433040 is 4033441141.

It can be written as a sum of positive squares in 4 ways, for example, as 7266539536 + 6847893504 = 85244^2 + 82752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 14114432996 and 14114433014.

It is not an unprimeable number, because it can be changed into a prime (14114433041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338794 + ... + 378166.

Almost surely, 214114433040 is an apocalyptic number.

14114433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14114433040 is an abundant number, since it is smaller than the sum of its proper divisors (18709780808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14114433040 is a wasteful number, since it uses less digits than its factorization.

14114433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43867 (or 43861 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14114433040 its reverse (4033441141), we get a palindrome (18147874181).

The spelling of 14114433040 in words is "fourteen billion, one hundred fourteen million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4481 8962 17924 22405 35848 39373 44810 71696 78746 89620 157492 179240 196865 314984 358480 393730 629968 787460 1574920 3149840 176430413 352860826 705721652 882152065 1411443304 1764304130 2822886608 3528608260 7057216520 14114433040