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13432544523431 = 11191016037105407
BaseRepresentation
bin1100001101111000001000…
…0010110111010010100111
31202120010202010022222120222
43003132002002313102213
53230034322344222211
644322454210514555
72554316655365045
oct303360202672247
952503663288528
1013432544523431
11430978a21a250
12160b397b95a5b
137658b68a96c7
143461d2553395
1518462827c1db
hexc37820b74a7

13432544523431 has 32 divisors (see below), whose sum is σ = 15580381777920. Its totient is φ = 11452151088000.

The previous prime is 13432544523421. The next prime is 13432544523451.

13432544523431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13432544523431 - 234 = 13415364654247 is a prime.

It is a super-2 number, since 2×134325445234312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13432544523421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127382330 + ... + 127487736.

It is an arithmetic number, because the mean of its divisors is an integer number (486886930560).

Almost surely, 213432544523431 is an apocalyptic number.

13432544523431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13432544523431 is a deficient number, since it is larger than the sum of its proper divisors (2147837254489).

13432544523431 is a wasteful number, since it uses less digits than its factorization.

13432544523431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111575.

The product of its digits is 2073600, while the sum is 44.

It can be divided in two parts, 1343254 and 4523431, that added together give a palindrome (5866685).

The spelling of 13432544523431 in words is "thirteen trillion, four hundred thirty-two billion, five hundred forty-four million, five hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 11 19 101 209 1111 1919 6037 21109 66407 105407 114703 609737 1159477 1261733 2002733 6707107 10646107 11585003 22030063 117107177 127435033 202276033 636342059 2225036363 6999762649 12090499121 64270547959 132995490331 706976027549 1221140411221 13432544523431