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345443303344543 = 31471019253991639
BaseRepresentation
bin100111010001011011100100…
…1011000101100100110011111
31200022010001112202102220220021
41032202313021120230212133
5330234220341124011133
63222410243542133011
7132522312041543005
oct11642671130544637
91608101482386807
10345443303344543
11a00837560600a8
12328b1287421167
1311a9a218937b61
14614378ba34a75
1529e0b8e19152d
hex13a2dc962c99f

345443303344543 has 32 divisors (see below), whose sum is σ = 364678520832000. Its totient is φ = 326733815460960.

The previous prime is 345443303344499. The next prime is 345443303344619.

345443303344543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345443303344543 - 225 = 345443269790111 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 (345443303344343) 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, 3769564318 + ... + 3769655956.

It is an arithmetic number, because the mean of its divisors is an integer number (11396203776000).

Almost surely, 2345443303344543 is an apocalyptic number.

345443303344543 is a deficient number, since it is larger than the sum of its proper divisors (19235217487457).

345443303344543 is a wasteful number, since it uses less digits than its factorization.

345443303344543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95275.

The product of its (nonzero) digits is 74649600, while the sum is 52.

It can be divided in two parts, 34544330 and 3344543, that added together give a palindrome (37888873).

The spelling of 345443303344543 in words is "three hundred forty-five trillion, four hundred forty-three billion, three hundred three million, three hundred forty-four thousand, five hundred forty-three".

Divisors: 1 31 47 1019 1457 2539 31589 47893 78709 91639 119333 1484683 2587241 2840809 3699323 4307033 80204471 93380141 121600327 133518023 232671421 2894784371 3769610137 4388866627 7212814051 10935556787 136054865437 237092177999 339002260397 7349857517969 11143332365953 345443303344543