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9914436401 is a prime number
BaseRepresentation
bin10010011101111001…
…00100101100110001
3221120221202112221012
421032330210230301
5130301043431101
64315444440305
7500455214252
oct111674445461
927527675835
109914436401
1142284938a1
121b083a9095
13c2005c91c
146a0a4cb29
153d060abbb
hex24ef24b31

9914436401 has 2 divisors, whose sum is σ = 9914436402. Its totient is φ = 9914436400.

The previous prime is 9914436391. The next prime is 9914436409. The reversal of 9914436401 is 1046344199.

9914436401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9116430400 + 798006001 = 95480^2 + 28249^2 .

It is an emirp because it is prime and its reverse (1046344199) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9914436401 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (9914436409) 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 as a sum of consecutive naturals, namely, 4957218200 + 4957218201.

It is an arithmetic number, because the mean of its divisors is an integer number (4957218201).

Almost surely, 29914436401 is an apocalyptic number.

It is an amenable number.

9914436401 is a deficient number, since it is larger than the sum of its proper divisors (1).

9914436401 is an equidigital number, since it uses as much as digits as its factorization.

9914436401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 9914436401 is about 99571.2629276138. The cubic root of 9914436401 is about 2148.2723746104.

The spelling of 9914436401 in words is "nine billion, nine hundred fourteen million, four hundred thirty-six thousand, four hundred one".