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4141411344141 = 329124429382567
BaseRepresentation
bin111100010000111111010…
…110100001111100001101
3112122220201002002021212120
4330100333112201330031
51020323102301003031
612450312121523153
7605131014413301
oct74207726417415
915586632067776
104141411344141
1113573a9812525
1256a7723434b9
132406c1bab7b6
14104634193d01
1572adaa62a96
hex3c43f5a1f0d

4141411344141 has 16 divisors (see below), whose sum is σ = 5712352348800. Its totient is φ = 2665707645888.

The previous prime is 4141411344139. The next prime is 4141411344157. The reversal of 4141411344141 is 1414431141414.

It is not a de Polignac number, because 4141411344141 - 21 = 4141411344139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141411344121) 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 15 ways as a sum of consecutive naturals, for example, 10634040 + ... + 11016606.

It is an arithmetic number, because the mean of its divisors is an integer number (357022021800).

Almost surely, 24141411344141 is an apocalyptic number.

It is an amenable number.

4141411344141 is a deficient number, since it is larger than the sum of its proper divisors (1570941004659).

4141411344141 is a wasteful number, since it uses less digits than its factorization.

4141411344141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507028.

The product of its digits is 12288, while the sum is 33.

Adding to 4141411344141 its reverse (1414431141414), we get a palindrome (5555842485555).

The spelling of 4141411344141 in words is "four trillion, one hundred forty-one billion, four hundred eleven million, three hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 29 87 124429 373287 382567 1147701 3608441 10825323 11094443 33283329 47602429243 142807287729 1380470448047 4141411344141