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4034134042441 = 192979443209203
BaseRepresentation
bin111010101101000101001…
…000000110011101001001
3112021122210201220201102021
4322231011020012131021
51012043401303324231
612325131113004441
7564312413403616
oct72550510063511
915248721821367
104034134042441
1113159595519a8
12551a133b3721
132335567b4999
14dd37883150d
156ee0c9d5811
hex3ab45206749

4034134042441 has 32 divisors (see below), whose sum is σ = 4458555648000. Its totient is φ = 3635073868608.

The previous prime is 4034134042439. The next prime is 4034134042453. The reversal of 4034134042441 is 1442404314304.

It is a cyclic number.

It is not a de Polignac number, because 4034134042441 - 21 = 4034134042439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4034134042397 and 4034134042406.

It is not an unprimeable number, because it can be changed into a prime (4034134043441) 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 31 ways as a sum of consecutive naturals, for example, 19178746 + ... + 19387948.

It is an arithmetic number, because the mean of its divisors is an integer number (139329864000).

Almost surely, 24034134042441 is an apocalyptic number.

It is an amenable number.

4034134042441 is a deficient number, since it is larger than the sum of its proper divisors (424421605559).

4034134042441 is a wasteful number, since it uses less digits than its factorization.

4034134042441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209773.

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 4034134042441 its reverse (1442404314304), we get a palindrome (5476538356745).

The spelling of 4034134042441 in words is "four trillion, thirty-four billion, one hundred thirty-four million, forty-two thousand, four hundred forty-one".

Divisors: 1 19 29 79 443 551 1501 2291 8417 12847 34997 43529 209203 244093 664943 1014913 3974857 6066887 16527037 19283347 92676929 115270853 314013703 479284073 1760861651 2687630941 7321477391 9106397387 51064987879 139108070429 212322844339 4034134042441