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34356444465343 = 7111334322122343
BaseRepresentation
bin1111100111111001110111…
…01010110000100010111111
311111122102222200112102021211
413303330323222300202333
514000343444240342333
6201023044355105251
710144112502354310
oct763747352604277
9144572880472254
1034356444465343
11aa46539259190
123a2a6138a2227
131622a4ccb17b0
1486ac09dc8607
153e8a53968ecd
hex1f3f3bab08bf

34356444465343 has 16 divisors (see below), whose sum is σ = 46128932430336. Its totient is φ = 24711928086240.

The previous prime is 34356444465281. The next prime is 34356444465359.

34356444465343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34356444465343 - 217 = 34356444334271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34356444465373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17161060171 + ... + 17161062172.

It is an arithmetic number, because the mean of its divisors is an integer number (2883058276896).

Almost surely, 234356444465343 is an apocalyptic number.

34356444465343 is a deficient number, since it is larger than the sum of its proper divisors (11772487964993).

34356444465343 is a wasteful number, since it uses less digits than its factorization.

34356444465343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34322122374.

The product of its digits is 298598400, while the sum is 58.

The spelling of 34356444465343 in words is "thirty-four trillion, three hundred fifty-six billion, four hundred forty-four million, four hundred sixty-five thousand, three hundred forty-three".

Divisors: 1 7 11 13 77 91 143 1001 34322122343 240254856401 377543345773 446187590459 2642803420411 3123313133213 4908063495049 34356444465343