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13424312324241 = 3271390718071777
BaseRepresentation
bin1100001101011001011101…
…0111100001000010010001
31202112100111101222221021200
43003112113113201002101
53224420442423333431
644315013254141413
72553605655012240
oct303262727410221
952470441887250
1013424312324241
114306245377145
12160987b051869
13764ba4217320
14345a510c4957
151842e56b6ee6
hexc35975e1091

13424312324241 has 48 divisors (see below), whose sum is σ = 23891757961344. Its totient is φ = 7073148552192.

The previous prime is 13424312324219. The next prime is 13424312324279. The reversal of 13424312324241 is 14242321342431.

13424312324241 is a `hidden beast` number, since 1 + 3 + 42 + 43 + 12 + 324 + 241 = 666.

It is not a de Polignac number, because 13424312324241 - 26 = 13424312324177 is a prime.

It is a super-2 number, since 2×134243123242412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13424312324196 and 13424312324205.

It is not an unprimeable number, because it can be changed into a prime (13424312324641) 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, 8293056 + ... + 9778721.

It is an arithmetic number, because the mean of its divisors is an integer number (497744957528).

Almost surely, 213424312324241 is an apocalyptic number.

It is an amenable number.

13424312324241 is a deficient number, since it is larger than the sum of its proper divisors (10467445637103).

13424312324241 is a wasteful number, since it uses less digits than its factorization.

13424312324241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18072710 (or 18072707 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 13424312324241 its reverse (14242321342431), we get a palindrome (27666633666672).

The spelling of 13424312324241 in words is "thirteen trillion, four hundred twenty-four billion, three hundred twelve million, three hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 907 2721 6349 8163 11791 19047 35373 57141 82537 106119 247611 742833 18071777 54215331 126502439 162645993 234933101 379507317 704799303 1138521951 1644531707 2114397909 4933595121 14800785363 16391101739 49173305217 114737712173 147519915651 213084322607 344213136519 639252967821 1032639409557 1491590258249 1917758903463 4474770774747 13424312324241