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14202434432 = 274714511627
BaseRepresentation
bin11010011101000011…
…11111001110000000
31100122210101102102002
431032201333032000
5213041310400212
610305143243132
71011643462244
oct151641771600
940583342362
1014202434432
1160289a421a
1229044494a8
131454539274
1498a330424
15581cbdac2
hex34e87f380

14202434432 has 64 divisors (see below), whose sum is σ = 28933597440. Its totient is φ = 6941068800.

The previous prime is 14202434419. The next prime is 14202434437. The reversal of 14202434432 is 23443420241.

14202434432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 14202434395 and 14202434404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14202434437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8728403 + ... + 8730029.

It is an arithmetic number, because the mean of its divisors is an integer number (452087460).

Almost surely, 214202434432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14202434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14466798720).

14202434432 is an abundant number, since it is smaller than the sum of its proper divisors (14731163008).

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

14202434432 is a wasteful number, since it uses less digits than its factorization.

14202434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 14202434432 its reverse (23443420241), we get a palindrome (37645854673).

The spelling of 14202434432 in words is "fourteen billion, two hundred two million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1451 1504 1627 2902 3008 3254 5804 6016 6508 11608 13016 23216 26032 46432 52064 68197 76469 92864 104128 136394 152938 185728 208256 272788 305876 545576 611752 1091152 1223504 2182304 2360777 2447008 4364608 4721554 4894016 8729216 9443108 9788032 18886216 37772432 75544864 110956519 151089728 221913038 302179456 443826076 887652152 1775304304 3550608608 7101217216 14202434432