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34445542175 = 5211418113767
BaseRepresentation
bin100000000101000111…
…010100001100011111
310021220120100211210022
4200011013110030133
51031021024322200
623453555302355
72326410164132
oct400507241437
9107816324708
1034445542175
1113676679730
1268138aa9bb
13332c3b2425
14194aa1a219
15d6905b885
hex8051d431f

34445542175 has 48 divisors (see below), whose sum is σ = 47803440384. Its totient is φ = 24403680000.

The previous prime is 34445542169. The next prime is 34445542211. The reversal of 34445542175 is 57124554443.

It is not a de Polignac number, because 34445542175 - 212 = 34445538079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9142142 + ... + 9145908.

It is an arithmetic number, because the mean of its divisors is an integer number (995905008).

Almost surely, 234445542175 is an apocalyptic number.

34445542175 is a deficient number, since it is larger than the sum of its proper divisors (13357898209).

34445542175 is a wasteful number, since it uses less digits than its factorization.

34445542175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4635 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 44.

The spelling of 34445542175 in words is "thirty-four billion, four hundred forty-five million, five hundred forty-two thousand, one hundred seventy-five".

Divisors: 1 5 11 25 41 55 205 275 451 811 1025 2255 3767 4055 8921 11275 18835 20275 33251 41437 44605 94175 154447 166255 207185 223025 365761 772235 831275 1035925 1698917 1828805 3055037 3861175 8494585 9144025 15275185 33605407 42472925 76375925 125256517 168027035 626282585 840135175 1377821687 3131412925 6889108435 34445542175