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13454445431 = 729710128027
BaseRepresentation
bin11001000011111001…
…01000101101110111
31021201122220122101202
430201330220231313
5210023314223211
610103023243115
7654261620300
oct144174505567
937648818352
1013454445431
115784757a99
122735a4949b
131365596c1b
14918c637a7
1553b2bc53b
hex321f28b77

13454445431 has 24 divisors (see below), whose sum is σ = 15969569616. Its totient is φ = 11300083200.

The previous prime is 13454445427. The next prime is 13454445469.

13454445431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13454445431 - 22 = 13454445427 is a prime.

It is a super-2 number, since 2×134544454312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13454445421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466040 + ... + 494066.

It is an arithmetic number, because the mean of its divisors is an integer number (665398734).

Almost surely, 213454445431 is an apocalyptic number.

13454445431 is a deficient number, since it is larger than the sum of its proper divisors (2515124185).

13454445431 is a wasteful number, since it uses less digits than its factorization.

13454445431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28239 (or 28232 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

The spelling of 13454445431 in words is "thirteen billion, four hundred fifty-four million, four hundred forty-five thousand, four hundred thirty-one".

Divisors: 1 7 49 97 101 679 707 4753 4949 9797 28027 68579 196189 480053 1373323 2718619 2830727 19030333 19815089 133212331 138705623 274580519 1922063633 13454445431