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14332233040 = 245612936933
BaseRepresentation
bin11010101100100010…
…01000010101010000
31100222211121212121221
431112101020111100
5213323022424130
610330101254424
71015110653656
oct152621102520
940884555557
1014332233040
1160951988a4
12293ba04414
1314753b4188
1499d67add6
1558d3ac87a
hex356448550

14332233040 has 40 divisors (see below), whose sum is σ = 33868722888. Its totient is φ = 5638909440.

The previous prime is 14332233037. The next prime is 14332233053. The reversal of 14332233040 is 4033223341.

It can be written as a sum of positive squares in 4 ways, for example, as 29986576 + 14302246464 = 5476^2 + 119592^2 .

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 = 14332232996 and 14332233014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1463587 + ... + 1473346.

Almost surely, 214332233040 is an apocalyptic number.

14332233040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14332233040 is an abundant number, since it is smaller than the sum of its proper divisors (19536489848).

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

14332233040 is a wasteful number, since it uses less digits than its factorization.

14332233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937007 (or 2937001 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 14332233040 its reverse (4033223341), we get a palindrome (18365456381).

The spelling of 14332233040 in words is "fourteen billion, three hundred thirty-two million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 2936933 5873866 11747732 14684665 23495464 29369330 46990928 58738660 117477320 179152913 234954640 358305826 716611652 895764565 1433223304 1791529130 2866446608 3583058260 7166116520 14332233040