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34513344411 = 37131676411181
BaseRepresentation
bin100000001001001001…
…111101011110011011
310022002021221112222020
4200021021331132123
51031140404010121
623504420425523
72331162405240
oct401111753633
9108067845866
1034513344411
1113700979537
1268325482a3
1333404617b0
141955a295c7
15d6eea11c6
hex80927d79b

34513344411 has 64 divisors (see below), whose sum is σ = 57113634816. Its totient is φ = 18052300800.

The previous prime is 34513344407. The next prime is 34513344457. The reversal of 34513344411 is 11444331543.

34513344411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34513344411 - 22 = 34513344407 is a prime.

It is a super-3 number, since 3×345133444113 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34513344491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29223241 + ... + 29224421.

It is an arithmetic number, because the mean of its divisors is an integer number (892400544).

Almost surely, 234513344411 is an apocalyptic number.

34513344411 is a deficient number, since it is larger than the sum of its proper divisors (22600290405).

34513344411 is a wasteful number, since it uses less digits than its factorization.

34513344411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012.

The product of its digits is 34560, while the sum is 33.

Adding to 34513344411 its reverse (11444331543), we get a palindrome (45957675954).

The spelling of 34513344411 in words is "thirty-four billion, five hundred thirteen million, three hundred forty-four thousand, four hundred eleven".

Divisors: 1 3 7 13 21 39 91 167 273 501 641 1169 1181 1923 2171 3507 3543 4487 6513 8267 8333 13461 15197 15353 24801 24999 45591 46059 58331 107047 107471 174993 197227 321141 322413 591681 749329 757021 1380589 1391611 2247987 2271063 2563951 4141767 4174833 5299147 7691853 9741277 9841273 15897441 17947657 29223831 29523819 53842971 68888911 126422507 206666733 379267521 884957549 1643492591 2654872647 4930477773 11504448137 34513344411