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13434322343431 = 1164110631792387
BaseRepresentation
bin1100001101111110110000…
…0000101101011000000111
31202120022100000121121011011
43003133230000231120013
53230101443004442211
644323350435423051
72554412013533533
oct303375400553007
952508300547134
1013434322343431
11430a511804780
12160b7b3454a87
13765b0b001cc2
143463206d4bc3
151846ce3a3921
hexc37ec02d607

13434322343431 has 16 divisors (see below), whose sum is σ = 14692304809728. Its totient is φ = 12182489164800.

The previous prime is 13434322343417. The next prime is 13434322343467.

13434322343431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13434322343431 - 29 = 13434322342919 is a prime.

It is a super-3 number, since 3×134343223434313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434322343411) 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, 6599020 + ... + 8391406.

It is an arithmetic number, because the mean of its divisors is an integer number (918269050608).

Almost surely, 213434322343431 is an apocalyptic number.

13434322343431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13434322343431 is a deficient number, since it is larger than the sum of its proper divisors (1257982466297).

13434322343431 is a wasteful number, since it uses less digits than its factorization.

13434322343431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794102.

The product of its digits is 746496, while the sum is 40.

It can be divided in two parts, 1343432 and 2343431, that added together give a palindrome (3686863).

The spelling of 13434322343431 in words is "thirteen trillion, four hundred thirty-four billion, three hundred twenty-two million, three hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 11 641 1063 7051 11693 681383 1792387 7495213 19716257 1148920067 1905307381 12638120737 20958381191 1221302031221 13434322343431