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345230323032543 = 31347673279853927
BaseRepresentation
bin100111001111111000011001…
…0110001010010000111011111
31200021100200210210102001210120
41032133300302301102013133
5330222223200144020133
63222124342043010023
7132501032144010534
oct11637606261220737
91607320723361716
10345230323032543
11a00013a3241423
1232877b48809913
1311a8310634b3c0
146137345a70d8b
1529da3763a8ab3
hex139fc32c521df

345230323032543 has 32 divisors (see below), whose sum is σ = 507014719604736. Its totient is φ = 207620269452288.

The previous prime is 345230323032503. The next prime is 345230323032577.

345230323032543 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-345230323032543 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 345230323032495 and 345230323032504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345230323032503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138693355 + ... + 141160572.

It is an arithmetic number, because the mean of its divisors is an integer number (15844209987648).

Almost surely, 2345230323032543 is an apocalyptic number.

345230323032543 is a deficient number, since it is larger than the sum of its proper divisors (161784396572193).

345230323032543 is a wasteful number, since it uses less digits than its factorization.

345230323032543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279854663.

The product of its (nonzero) digits is 2332800, while the sum is 42.

The spelling of 345230323032543 in words is "three hundred forty-five trillion, two hundred thirty billion, three hundred twenty-three million, thirty-two thousand, five hundred forty-three".

Divisors: 1 3 13 39 47 141 611 673 1833 2019 8749 26247 31631 94893 411203 1233609 279853927 839561781 3638101051 10914303153 13153134569 39459403707 170990749397 188341692871 512972248191 565025078613 2448442007323 7345326021969 8852059564937 26556178694811 115076774344181 345230323032543