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34043414021 is a prime number
BaseRepresentation
bin11111101101001001…
…010100011000000101
310020212112200121122222
4133231021110120011
51024210103222041
623350032302125
72313425146631
oct375511243005
9106775617588
1034043414021
111348a68a911
1267210a1945
133296ca7286
14190d45ddc1
15d43ac774b
hex7ed254605

34043414021 has 2 divisors, whose sum is σ = 34043414022. Its totient is φ = 34043414020.

The previous prime is 34043414017. The next prime is 34043414047. The reversal of 34043414021 is 12041434043.

It is an a-pointer prime, because the next prime (34043414047) can be obtained adding 34043414021 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21232569796 + 12810844225 = 145714^2 + 113185^2 .

It is a cyclic number.

It is not a de Polignac number, because 34043414021 - 22 = 34043414017 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34043414071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17021707010 + 17021707011.

It is an arithmetic number, because the mean of its divisors is an integer number (17021707011).

Almost surely, 234043414021 is an apocalyptic number.

It is an amenable number.

34043414021 is a deficient number, since it is larger than the sum of its proper divisors (1).

34043414021 is an equidigital number, since it uses as much as digits as its factorization.

34043414021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34043414021 its reverse (12041434043), we get a palindrome (46084848064).

The spelling of 34043414021 in words is "thirty-four billion, forty-three million, four hundred fourteen thousand, twenty-one".