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13355040402441 = 329414583344083
BaseRepresentation
bin1100001001010111011001…
…1100000110110000001001
31202021201200201122200221100
43002111312130012300021
53222302110320334231
644223115412332013
72545604231256453
oct302256634066011
952251621580840
1013355040402441
114289928161aa1
1215b8368014009
1375b4b489039a
1434255d0752d3
151825dde731e6
hexc2576706c09

13355040402441 has 24 divisors (see below), whose sum is σ = 19315383811776. Its totient is φ = 8891932203360.

The previous prime is 13355040402433. The next prime is 13355040402481. The reversal of 13355040402441 is 14420404055331.

13355040402441 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 5 + 0 + 404 + 0 + 244 + 1 = 666.

It is not a de Polignac number, because 13355040402441 - 23 = 13355040402433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13355040402396 and 13355040402405.

It is not an unprimeable number, because it can be changed into a prime (13355040402481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38641386 + ... + 38985468.

It is an arithmetic number, because the mean of its divisors is an integer number (804807658824).

Almost surely, 213355040402441 is an apocalyptic number.

It is an amenable number.

13355040402441 is a deficient number, since it is larger than the sum of its proper divisors (5960343409335).

13355040402441 is a wasteful number, since it uses less digits than its factorization.

13355040402441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349613 (or 349610 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 13355040402441 its reverse (14420404055331), we get a palindrome (27775444457772).

The spelling of 13355040402441 in words is "thirteen trillion, three hundred fifty-five billion, forty million, four hundred two thousand, four hundred forty-one".

Divisors: 1 3 9 941 2823 4583 8469 13749 41247 344083 1032249 3096747 4312603 12937809 38813427 323782103 971346309 1576932389 2914038927 4730797167 14192391501 1483893378049 4451680134147 13355040402441