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13445166141 = 3211135809759
BaseRepresentation
bin11001000010110010…
…01111010000111101
31021201000110012121100
430201121033100331
5210013430304031
610102052323313
7654120012051
oct144131172075
937630405540
1013445166141
11577a49a360
122732913539
131363698414
14917929c61
1553a587de6
hex32164f43d

13445166141 has 12 divisors (see below), whose sum is σ = 21186322560. Its totient is φ = 8148585480.

The previous prime is 13445166113. The next prime is 13445166191. The reversal of 13445166141 is 14166154431.

13445166141 is a `hidden beast` number, since 1 + 3 + 4 + 451 + 66 + 141 = 666.

13445166141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13445166141 - 219 = 13444641853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13445166096 and 13445166105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13445166191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67904781 + ... + 67904978.

It is an arithmetic number, because the mean of its divisors is an integer number (1765526880).

Almost surely, 213445166141 is an apocalyptic number.

13445166141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13445166141 is a deficient number, since it is larger than the sum of its proper divisors (7741156419).

13445166141 is a wasteful number, since it uses less digits than its factorization.

13445166141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135809776 (or 135809773 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 13445166141 in words is "thirteen billion, four hundred forty-five million, one hundred sixty-six thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 135809759 407429277 1222287831 1493907349 4481722047 13445166141