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64141464141 = 3347499910111
BaseRepresentation
bin111011101111001000…
…010001001001001101
320010120010110222112000
4323233020101021031
52022330203323031
645244410102513
74430325310116
oct735710211115
9203503428460
1064141464141
11252252033a7
1210520a1aa39
13608277c4a1
14316690d20d
151a0611d3e6
hexeef21124d

64141464141 has 32 divisors (see below), whose sum is σ = 97075200000. Its totient is φ = 41838657840.

The previous prime is 64141464139. The next prime is 64141464157. The reversal of 64141464141 is 14146414146.

64141464141 is a `hidden beast` number, since 6 + 4 + 1 + 4 + 1 + 4 + 641 + 4 + 1 = 666.

64141464141 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 64141464141 - 21 = 64141464139 is a prime.

It is a super-2 number, since 2×641414641412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64141464096 and 64141464105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64141464131) 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, 6338676 + ... + 6348786.

It is an arithmetic number, because the mean of its divisors is an integer number (3033600000).

Almost surely, 264141464141 is an apocalyptic number.

It is an amenable number.

64141464141 is a deficient number, since it is larger than the sum of its proper divisors (32933735859).

64141464141 is a wasteful number, since it uses less digits than its factorization.

64141464141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15166 (or 15160 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

Adding to 64141464141 its reverse (14146414146), we get a palindrome (78287878287).

The spelling of 64141464141 in words is "sixty-four billion, one hundred forty-one million, four hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 3 9 27 47 141 423 1269 4999 10111 14997 30333 44991 90999 134973 234953 272997 475217 704859 1425651 2114577 4276953 6343731 12830859 50544889 151634667 454904001 1364712003 2375609783 7126829349 21380488047 64141464141