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13405424330241 = 32312111303174763
BaseRepresentation
bin1100001100010011000110…
…0011100010011000000001
31202110112202001220102111100
43003010301203202120001
53224113302112031431
644302211131005013
72552336624504316
oct303046143423001
952415661812440
1013405424330241
1142a9232612749
121606089599769
13763184035008
14344b7c784d0d
15183a8c3a44e6
hexc31318e2601

13405424330241 has 48 divisors (see below), whose sum is σ = 20098273841152. Its totient is φ = 8601016687200.

The previous prime is 13405424330203. The next prime is 13405424330317. The reversal of 13405424330241 is 14203342450431.

13405424330241 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 542 + 43 + 30 + 2 + 41 = 666.

It is not a de Polignac number, because 13405424330241 - 219 = 13405423805953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13405424330196 and 13405424330205.

It is not an unprimeable number, because it can be changed into a prime (13405424330201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76618926 + ... + 76793688.

Almost surely, 213405424330241 is an apocalyptic number.

It is an amenable number.

13405424330241 is a deficient number, since it is larger than the sum of its proper divisors (6692849510911).

13405424330241 is a wasteful number, since it uses less digits than its factorization.

13405424330241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176314 (or 176311 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 13405424330241 its reverse (14203342450431), we get a palindrome (27608766780672).

The spelling of 13405424330241 in words is "thirteen trillion, four hundred five billion, four hundred twenty-four million, three hundred thirty thousand, two hundred forty-one".

Divisors: 1 3 9 31 93 211 279 633 1303 1899 3909 6541 11727 19623 40393 58869 121179 174763 274933 363537 524289 824799 1572867 2474397 5417653 8522923 16252959 25568769 36874993 48758877 76706307 110624979 227716189 331874937 683148567 1143124783 2049445701 3429374349 7059201859 10288123047 21177605577 48048115879 63532816731 144144347637 432433042911 1489491592249 4468474776747 13405424330241