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34434511543443 = 3112767377112413
BaseRepresentation
bin1111101010001011010001…
…10101000001110010010011
311111220220111022111212220210
413311011220311001302103
514003133334423342233
6201122555103335203
710152545203521144
oct765055065016223
9144826438455823
1034434511543443
11aa7665a073450
123a417802b1503
13162a211826b2b
148708d4169acb
153eaac23c5163
hex1f5168d41c93

34434511543443 has 16 divisors (see below), whose sum is σ = 50104663773696. Its totient is φ = 20861858631840.

The previous prime is 34434511543433. The next prime is 34434511543451.

34434511543443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34434511543443 - 210 = 34434511542419 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34434511543392 and 34434511543401.

It is not an unprimeable number, because it can be changed into a prime (34434511543403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188464896 + ... + 188647517.

It is an arithmetic number, because the mean of its divisors is an integer number (3131541485856).

Almost surely, 234434511543443 is an apocalyptic number.

34434511543443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34434511543443 is a deficient number, since it is larger than the sum of its proper divisors (15670152230253).

34434511543443 is a wasteful number, since it uses less digits than its factorization.

34434511543443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377115194.

The product of its digits is 8294400, while the sum is 48.

It can be divided in two parts, 3443451 and 1543443, that added together give a palindrome (4986894).

The spelling of 34434511543443 in words is "thirty-four trillion, four hundred thirty-four billion, five hundred eleven million, five hundred forty-three thousand, four hundred forty-three".

Divisors: 1 3 11 33 2767 8301 30437 91311 377112413 1131337239 4148236543 12444709629 1043470046771 3130410140313 11478170514481 34434511543443