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3434125242141 = 331119359910421
BaseRepresentation
bin110001111110010001110…
…100001010111100011101
3110011022002002111120012000
4301332101310022330131
5422231042030222031
611145340530032513
7503051552634006
oct61762164127435
913138062446160
103434125242141
11110444a198630
12475681718739
131bbab50959c9
14bc2d933a1ad
155e4e1eca3e6
hex31f91d0af1d

3434125242141 has 32 divisors (see below), whose sum is σ = 5578858496640. Its totient is φ = 2070504115200.

The previous prime is 3434125242131. The next prime is 3434125242157. The reversal of 3434125242141 is 1412425214343.

3434125242141 is a `hidden beast` number, since 3 + 4 + 3 + 412 + 5 + 24 + 214 + 1 = 666.

It is not a de Polignac number, because 3434125242141 - 29 = 3434125241629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3434125242096 and 3434125242105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434125242131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29897890 + ... + 30012531.

It is an arithmetic number, because the mean of its divisors is an integer number (174339328020).

Almost surely, 23434125242141 is an apocalyptic number.

It is an amenable number.

3434125242141 is a deficient number, since it is larger than the sum of its proper divisors (2144733254499).

3434125242141 is a wasteful number, since it uses less digits than its factorization.

3434125242141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59910634 (or 59910628 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 3434125242141 in words is "three trillion, four hundred thirty-four billion, one hundred twenty-five million, two hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 99 193 297 579 1737 2123 5211 6369 19107 57321 59910421 179731263 539193789 659014631 1617581367 1977043893 5931131679 11562711253 17793395037 34688133759 104064401277 127189823783 312193203831 381569471349 1144708414047 3434125242141