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34413136541 = 7210923926959
BaseRepresentation
bin100000000011001011…
…101100101010011101
310021211022101110121122
4200003023230222131
51030434230332131
623450440540325
72325534556100
oct400313545235
9107738343548
1034413136541
111365a355913
126804a816a5
1333257774b4
1419465c2737
15d662a9d7b
hex8032eca9d

34413136541 has 24 divisors (see below), whose sum is σ = 40569408000. Its totient is φ = 29102994144.

The previous prime is 34413136529. The next prime is 34413136579. The reversal of 34413136541 is 14563131443.

It is a happy number.

It is not a de Polignac number, because 34413136541 - 26 = 34413136477 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 (34413132541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1263020 + ... + 1289978.

It is an arithmetic number, because the mean of its divisors is an integer number (1690392000).

Almost surely, 234413136541 is an apocalyptic number.

It is an amenable number.

34413136541 is a deficient number, since it is larger than the sum of its proper divisors (6156271459).

34413136541 is a wasteful number, since it uses less digits than its factorization.

34413136541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27321 (or 27314 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

Adding to 34413136541 its reverse (14563131443), we get a palindrome (48976267984).

The spelling of 34413136541 in words is "thirty-four billion, four hundred thirteen million, one hundred thirty-six thousand, five hundred forty-one".

Divisors: 1 7 49 109 239 763 1673 5341 11711 26051 26959 182357 188713 1276499 1320991 2938531 6443201 20569717 45102407 143988019 315716849 702308909 4916162363 34413136541