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45400220441 is a prime number
BaseRepresentation
bin101010010010000100…
…000110001100011001
311100012000112011021222
4222102010012030121
51220434424023231
632505004141425
73165026335502
oct522204061431
9140160464258
1045400220441
1118288271644
128970537875
134386acbb84
1422a988dba9
1512aab4727b
hexa92106319

45400220441 has 2 divisors, whose sum is σ = 45400220442. Its totient is φ = 45400220440.

The previous prime is 45400220429. The next prime is 45400220443. The reversal of 45400220441 is 14402200454.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22870210441 + 22530010000 = 151229^2 + 150100^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45400220441 is a prime.

It is a super-2 number, since 2×454002204412 (a number of 22 digits) contains 22 as substring.

Together with 45400220443, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45400220441.

It is not a weakly prime, because it can be changed into another prime (45400220443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22700110220 + 22700110221.

It is an arithmetic number, because the mean of its divisors is an integer number (22700110221).

Almost surely, 245400220441 is an apocalyptic number.

It is an amenable number.

45400220441 is a deficient number, since it is larger than the sum of its proper divisors (1).

45400220441 is an equidigital number, since it uses as much as digits as its factorization.

45400220441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 45400220441 its reverse (14402200454), we get a palindrome (59802420895).

The spelling of 45400220441 in words is "forty-five billion, four hundred million, two hundred twenty thousand, four hundred forty-one".