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34457428105 = 517339835177
BaseRepresentation
bin100000000101110100…
…101010000010001001
310021221101201201012221
4200011310222002021
51031032100144410
623455102134041
72326613210032
oct400564520211
9107841651187
1034457428105
1113682357811
126817881321
1333319b4519
14194c431a89
15d6a1084da
hex805d2a089

34457428105 has 8 divisors (see below), whose sum is σ = 41587925832. Its totient is φ = 27406601088.

The previous prime is 34457428007. The next prime is 34457428141. The reversal of 34457428105 is 50182475443.

It can be written as a sum of positive squares in 4 ways, for example, as 14105837824 + 20351590281 = 118768^2 + 142659^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34457428105 - 29 = 34457427593 is a prime.

It is a super-2 number, since 2×344574281052 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19916724 + ... + 19918453.

It is an arithmetic number, because the mean of its divisors is an integer number (5198490729).

Almost surely, 234457428105 is an apocalyptic number.

It is an amenable number.

34457428105 is a deficient number, since it is larger than the sum of its proper divisors (7130497727).

34457428105 is a wasteful number, since it uses less digits than its factorization.

34457428105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39835355.

The product of its (nonzero) digits is 537600, while the sum is 43.

The spelling of 34457428105 in words is "thirty-four billion, four hundred fifty-seven million, four hundred twenty-eight thousand, one hundred five".

Divisors: 1 5 173 865 39835177 199175885 6891485621 34457428105