Search a number
-
+
4003023434401 is a prime number
BaseRepresentation
bin111010010000000110110…
…010100011001010100001
3112011200111120211002020001
4322100012302203022201
51011041142444400101
612302544044420001
7562131436530505
oct72200662431241
915150446732201
104003023434401
111303744408692
12547990547601
132306392c6684
14dba66ac6305
156e1db62c901
hex3a406ca32a1

4003023434401 has 2 divisors, whose sum is σ = 4003023434402. Its totient is φ = 4003023434400.

The previous prime is 4003023434357. The next prime is 4003023434411. The reversal of 4003023434401 is 1044343203004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3366769935376 + 636253499025 = 1834876^2 + 797655^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4003023434401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4003023434401.

It is not a weakly prime, because it can be changed into another prime (4003023434411) 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, 2001511717200 + 2001511717201.

It is an arithmetic number, because the mean of its divisors is an integer number (2001511717201).

Almost surely, 24003023434401 is an apocalyptic number.

It is an amenable number.

4003023434401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4003023434401 is an equidigital number, since it uses as much as digits as its factorization.

4003023434401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4003023434401 its reverse (1044343203004), we get a palindrome (5047366637405).

The spelling of 4003023434401 in words is "four trillion, three billion, twenty-three million, four hundred thirty-four thousand, four hundred one".