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40040200042033 is a prime number
BaseRepresentation
bin10010001101010100101011…
…11001100111011000110001
312020202210202101101201220011
421012222111321213120301
520222004312202321113
6221054114114414521
711301544324545322
oct1106522571473061
9166683671351804
1040040200042033
1111837a54094704
1245a8085b91441
131945a0bc1a499
149c5d5547a449
1549680e06a63d
hex246a95e67631

40040200042033 has 2 divisors, whose sum is σ = 40040200042034. Its totient is φ = 40040200042032.

The previous prime is 40040200042027. The next prime is 40040200042099. The reversal of 40040200042033 is 33024000204004.

40040200042033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31662318717184 + 8377881324849 = 5626928^2 + 2894457^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40040200042033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40040200041995 and 40040200042013.

It is not a weakly prime, because it can be changed into another prime (40040200040033) 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, 20020100021016 + 20020100021017.

It is an arithmetic number, because the mean of its divisors is an integer number (20020100021017).

Almost surely, 240040200042033 is an apocalyptic number.

It is an amenable number.

40040200042033 is a deficient number, since it is larger than the sum of its proper divisors (1).

40040200042033 is an equidigital number, since it uses as much as digits as its factorization.

40040200042033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 40040200042033 its reverse (33024000204004), we get a palindrome (73064200246037).

The spelling of 40040200042033 in words is "forty trillion, forty billion, two hundred million, forty-two thousand, thirty-three".