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14541926401 is a prime number
BaseRepresentation
bin11011000101100010…
…00011000000000001
31101112110012101211201
431202301003000001
5214240213121101
610402551541201
71023235222612
oct154261030001
941473171751
1014541926401
1161925a15a2
12299a08a801
1314a99835a2
149bd463c09
155a19cde01
hex362c43001

14541926401 has 2 divisors, whose sum is σ = 14541926402. Its totient is φ = 14541926400.

The previous prime is 14541926297. The next prime is 14541926419. The reversal of 14541926401 is 10462914541.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14141966400 + 399960001 = 118920^2 + 19999^2 .

It is a cyclic number.

It is not a de Polignac number, because 14541926401 - 217 = 14541795329 is a prime.

It is a super-2 number, since 2×145419264012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (14541926461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7270963200 + 7270963201.

It is an arithmetic number, because the mean of its divisors is an integer number (7270963201).

Almost surely, 214541926401 is an apocalyptic number.

It is an amenable number.

14541926401 is a deficient number, since it is larger than the sum of its proper divisors (1).

14541926401 is an equidigital number, since it uses as much as digits as its factorization.

14541926401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 14541926401 in words is "fourteen billion, five hundred forty-one million, nine hundred twenty-six thousand, four hundred one".