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14400978181 is a prime number
BaseRepresentation
bin11010110100101110…
…10111110100000101
31101011121222111020021
431122113113310011
5213443122300211
610340554535141
71016604203062
oct153227276405
941147874207
1014400978181
11611aa82067
12295aa374b1
131486703785
149a8853c69
1559443b771
hex35a5d7d05

14400978181 has 2 divisors, whose sum is σ = 14400978182. Its totient is φ = 14400978180.

The previous prime is 14400978169. The next prime is 14400978187. The reversal of 14400978181 is 18187900441.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9802782081 + 4598196100 = 99009^2 + 67810^2 .

It is a cyclic number.

It is not a de Polignac number, because 14400978181 - 211 = 14400976133 is a prime.

It is a super-2 number, since 2×144009781812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (14400978187) 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, 7200489090 + 7200489091.

It is an arithmetic number, because the mean of its divisors is an integer number (7200489091).

Almost surely, 214400978181 is an apocalyptic number.

It is an amenable number.

14400978181 is a deficient number, since it is larger than the sum of its proper divisors (1).

14400978181 is an equidigital number, since it uses as much as digits as its factorization.

14400978181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512, while the sum is 43.

The spelling of 14400978181 in words is "fourteen billion, four hundred million, nine hundred seventy-eight thousand, one hundred eighty-one".