Search a number
-
+
14400128159993 is a prime number
BaseRepresentation
bin1101000110001100101010…
…0001100001000011111001
31212222122020200122112012202
43101203022201201003321
53341412430302104433
650343154430115545
73014242412526632
oct321431241410371
955878220575182
1014400128159993
114652072a32534
121746a1194bbb5
13805c06cb53b4
1437ad81672889
1519e8a8baeee8
hexd18ca8610f9

14400128159993 has 2 divisors, whose sum is σ = 14400128159994. Its totient is φ = 14400128159992.

The previous prime is 14400128159983. The next prime is 14400128160029. The reversal of 14400128159993 is 39995182100441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12040254588649 + 2359873571344 = 3469907^2 + 1536188^2 .

It is a cyclic number.

It is not a de Polignac number, because 14400128159993 - 28 = 14400128159737 is a prime.

It is not a weakly prime, because it can be changed into another prime (14400128159983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7200064079996 + 7200064079997.

It is an arithmetic number, because the mean of its divisors is an integer number (7200064079997).

Almost surely, 214400128159993 is an apocalyptic number.

It is an amenable number.

14400128159993 is a deficient number, since it is larger than the sum of its proper divisors (1).

14400128159993 is an equidigital number, since it uses as much as digits as its factorization.

14400128159993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2799360, while the sum is 56.

The spelling of 14400128159993 in words is "fourteen trillion, four hundred billion, one hundred twenty-eight million, one hundred fifty-nine thousand, nine hundred ninety-three".