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34423054141 = 721494714841
BaseRepresentation
bin100000000011110001…
…100001111100111101
310021212000001100000011
4200003301201330331
51030444300213031
623451433303221
72326015063300
oct400361417475
9107760040004
1034423054141
1113664a0a083
126808264b11
13332783a6b8
141947a44b37
15d670b86b1
hex803c61f3d

34423054141 has 12 divisors (see below), whose sum is σ = 40311899100. Its totient is φ = 29307445440.

The previous prime is 34423054139. The next prime is 34423054181. The reversal of 34423054141 is 14145032443.

It can be written as a sum of positive squares in 2 ways, for example, as 22503000100 + 11920054041 = 150010^2 + 109179^2 .

It is not a de Polignac number, because 34423054141 - 21 = 34423054139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34423054181) 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 in 11 ways as a sum of consecutive naturals, for example, 2350120 + ... + 2364721.

It is an arithmetic number, because the mean of its divisors is an integer number (3359324925).

Almost surely, 234423054141 is an apocalyptic number.

It is an amenable number.

34423054141 is a deficient number, since it is larger than the sum of its proper divisors (5888844959).

34423054141 is a wasteful number, since it uses less digits than its factorization.

34423054141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715004 (or 4714997 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 34423054141 its reverse (14145032443), we get a palindrome (48568086584).

The spelling of 34423054141 in words is "thirty-four billion, four hundred twenty-three million, fifty-four thousand, one hundred forty-one".

Divisors: 1 7 49 149 1043 7301 4714841 33003887 231027209 702511309 4917579163 34423054141