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13434643431 = 3211217725687
BaseRepresentation
bin11001000001100010…
…00110001111100111
31021200021122121011100
430200301012033213
5210003232042211
610101035011143
7653631404436
oct144061061747
937607577140
1013434643431
115774562500
12272b299ab3
131361452971
1491638b11d
155396aa156
hex320c463e7

13434643431 has 36 divisors (see below), whose sum is σ = 22584861936. Its totient is φ = 7663244160.

The previous prime is 13434643421. The next prime is 13434643447.

13434643431 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 4 + 643 + 4 + 3 + 1 = 666.

13434643431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13434643431 - 25 = 13434643399 is a prime.

It is a super-2 number, since 2×134346434312 (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 (13434643421) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 344331 + ... + 381356.

It is an arithmetic number, because the mean of its divisors is an integer number (627357276).

Almost surely, 213434643431 is an apocalyptic number.

13434643431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13434643431 is a deficient number, since it is larger than the sum of its proper divisors (9150218505).

13434643431 is a wasteful number, since it uses less digits than its factorization.

13434643431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725732 (or 725718 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 13434643431 in words is "thirteen billion, four hundred thirty-four million, six hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 363 561 1089 1683 2057 6171 18513 725687 2177061 6531183 7982557 12336679 23947671 37010037 71843013 87808127 111030111 135703469 263424381 407110407 790273143 1221331221 1492738159 4478214477 13434643431