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40654438054049 is a prime number
BaseRepresentation
bin10010011111001100110010…
…10101101011100010100001
312022221112012200120202001202
421033212121111223202201
520312040242120212144
6222244220243010545
711364120605524421
oct1117463125534241
9168845180522052
1040654438054049
1111a544a5471386
124687129069a55
13198b90a58c871
14a07984672481
154a77add8364e
hex24f99956b8a1

40654438054049 has 2 divisors, whose sum is σ = 40654438054050. Its totient is φ = 40654438054048.

The previous prime is 40654438053997. The next prime is 40654438054073. The reversal of 40654438054049 is 94045083445604.

It is a happy number.

40654438054049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36993460950625 + 3660977103424 = 6082225^2 + 1913368^2 .

It is a cyclic number.

It is not a de Polignac number, because 40654438054049 - 228 = 40654169618593 is a prime.

It is a super-3 number, since 3×406544380540493 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40654438053985 and 40654438054003.

It is not a weakly prime, because it can be changed into another prime (40654438054249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20327219027024 + 20327219027025.

It is an arithmetic number, because the mean of its divisors is an integer number (20327219027025).

Almost surely, 240654438054049 is an apocalyptic number.

It is an amenable number.

40654438054049 is a deficient number, since it is larger than the sum of its proper divisors (1).

40654438054049 is an equidigital number, since it uses as much as digits as its factorization.

40654438054049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33177600, while the sum is 56.

The spelling of 40654438054049 in words is "forty trillion, six hundred fifty-four billion, four hundred thirty-eight million, fifty-four thousand, forty-nine".