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14101042033413 = 3217334612754361
BaseRepresentation
bin1100110100110010011110…
…0110011111001100000101
31211221001020212100002010100
43031030213212133030011
53322012413230032123
645553532420314313
72653523652434256
oct315144746371405
954831225302110
1014101042033413
114547244683925
1216b8a62542999
137b39515c9aba
1436a6cba5cb2d
15196c0186d643
hexcd32799f305

14101042033413 has 24 divisors (see below), whose sum is σ = 21566951931096. Its totient is φ = 8847445017600.

The previous prime is 14101042033343. The next prime is 14101042033417. The reversal of 14101042033413 is 31433024010141.

14101042033413 is a `hidden beast` number, since 1 + 4 + 10 + 104 + 203 + 341 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1464104840004 + 12636937193409 = 1210002^2 + 3554847^2 .

It is not a de Polignac number, because 14101042033413 - 28 = 14101042033157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14101042033417) 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 23 ways as a sum of consecutive naturals, for example, 3742353 + ... + 6496713.

It is an arithmetic number, because the mean of its divisors is an integer number (898622997129).

Almost surely, 214101042033413 is an apocalyptic number.

It is an amenable number.

14101042033413 is a deficient number, since it is larger than the sum of its proper divisors (7465909897683).

14101042033413 is a wasteful number, since it uses less digits than its factorization.

14101042033413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787845 (or 2787842 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14101042033413 its reverse (31433024010141), we get a palindrome (45534066043554).

The spelling of 14101042033413 in words is "fourteen trillion, one hundred one billion, forty-two million, thirty-three thousand, four hundred thirteen".

Divisors: 1 3 9 17 51 153 33461 100383 301149 568837 1706511 2754361 5119533 8263083 24789249 46824137 140472411 421417233 92163673421 276491020263 829473060789 1566782448157 4700347344471 14101042033413