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34412431041 = 331274534483
BaseRepresentation
bin100000000011001001…
…000000011011000001
310021211021001121212000
4200003021000123001
51030434040243131
623450413454213
72325525560202
oct400311003301
9107737047760
1034412431041
1113659a1385a
1268047a1369
13332558b341
14194647b5a9
15d661bace6
hex8032406c1

34412431041 has 8 divisors (see below), whose sum is σ = 50981379360. Its totient is φ = 22941620676.

The previous prime is 34412430959. The next prime is 34412431061. The reversal of 34412431041 is 14013421443.

34412431041 is a `hidden beast` number, since 344 + 1 + 2 + 4 + 310 + 4 + 1 = 666.

It is not a de Polignac number, because 34412431041 - 217 = 34412299969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1274534483 = 34412431041 / (3 + 4 + 4 + 1 + 2 + 4 + 3 + 1 + 0 + 4 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 34412430996 and 34412431014.

It is not an unprimeable number, because it can be changed into a prime (34412431061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 637267215 + ... + 637267268.

It is an arithmetic number, because the mean of its divisors is an integer number (6372672420).

Almost surely, 234412431041 is an apocalyptic number.

It is an amenable number.

34412431041 is a deficient number, since it is larger than the sum of its proper divisors (16568948319).

34412431041 is a wasteful number, since it uses less digits than its factorization.

34412431041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274534492 (or 1274534486 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34412431041 its reverse (14013421443), we get a palindrome (48425852484).

The spelling of 34412431041 in words is "thirty-four billion, four hundred twelve million, four hundred thirty-one thousand, forty-one".

Divisors: 1 3 9 27 1274534483 3823603449 11470810347 34412431041