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11433211413041 = 1121633835472767
BaseRepresentation
bin1010011001100000000010…
…0000010100001000110001
31111111000010011100122012002
42212120000200110020301
52444310204110204131
640152202251343345
72260010431346405
oct246300040241061
944430104318162
1011433211413041
113708885863500
1213479bb451b55
1364c1bb560a92
142b752849d105
1514c60dad16cb
hexa6600814231

11433211413041 has 48 divisors (see below), whose sum is σ = 12704961626112. Its totient is φ = 10280538908640.

The previous prime is 11433211413037. The next prime is 11433211413047. The reversal of 11433211413041 is 14031411233411.

It is not a de Polignac number, because 11433211413041 - 22 = 11433211413037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11433211412995 and 11433211413013.

It is not an unprimeable number, because it can be changed into a prime (11433211413047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4131986840 + ... + 4131989606.

It is an arithmetic number, because the mean of its divisors is an integer number (264686700544).

Almost surely, 211433211413041 is an apocalyptic number.

11433211413041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11433211413041 is a deficient number, since it is larger than the sum of its proper divisors (1271750213071).

11433211413041 is a wasteful number, since it uses less digits than its factorization.

11433211413041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 11433211413041 its reverse (14031411233411), we get a palindrome (25464622646452).

The spelling of 11433211413041 in words is "eleven trillion, four hundred thirty-three billion, two hundred eleven million, four hundred thirteen thousand, forty-one".

Divisors: 1 11 121 163 383 547 1793 2767 4213 6017 19723 30437 46343 62429 66187 89161 209501 334807 451021 686719 980771 1059761 1513549 2304511 4961231 7553909 10788481 11657371 16649039 25349621 34148663 54573541 128231081 172741043 183139429 246708487 375635293 579689267 1900151473 2713793357 4131988223 6376581937 20901666203 29851726927 70142401307 94489350521 1039382855731 11433211413041