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34044244033 is a prime number
BaseRepresentation
bin11111101101001100…
…011111000001000001
310020212121020210020011
4133231030133001001
51024210311302113
623350102144521
72313435204532
oct375514370101
9106777223204
1034044244033
11134900a7478
126721422141
133297207cc7
14190d5d8689
15d43bdd63d
hex7ed31f041

34044244033 has 2 divisors, whose sum is σ = 34044244034. Its totient is φ = 34044244032.

The previous prime is 34044244027. The next prime is 34044244043. The reversal of 34044244033 is 33044244043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29258786704 + 4785457329 = 171052^2 + 69177^2 .

It is a cyclic number.

It is not a de Polignac number, because 34044244033 - 29 = 34044243521 is a prime.

It is a super-2 number, since 2×340442440332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34044243986 and 34044244004.

It is not a weakly prime, because it can be changed into another prime (34044244043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17022122016 + 17022122017.

It is an arithmetic number, because the mean of its divisors is an integer number (17022122017).

Almost surely, 234044244033 is an apocalyptic number.

It is an amenable number.

34044244033 is a deficient number, since it is larger than the sum of its proper divisors (1).

34044244033 is an equidigital number, since it uses as much as digits as its factorization.

34044244033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 34044244033 its reverse (33044244043), we get a palindrome (67088488076).

The spelling of 34044244033 in words is "thirty-four billion, forty-four million, two hundred forty-four thousand, thirty-three".