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4031243434413 = 3213103210613061
BaseRepresentation
bin111010101010011000110…
…101010011100110101101
3112021101100021201121122200
4322222120311103212231
51012021441304400123
612323532213132113
7564150653551146
oct72523065234655
915241307647580
104031243434413
111314705908348
1255134732a039
132331b5981b30
14dd182982acd
156ecddd4e143
hex3aa98d539ad

4031243434413 has 72 divisors (see below), whose sum is σ = 6340334868504. Its totient is φ = 2453562835200.

The previous prime is 4031243434369. The next prime is 4031243434423. The reversal of 4031243434413 is 3144343421304.

4031243434413 is a `hidden beast` number, since 40 + 31 + 243 + 4 + 344 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1145043384489 + 2886200049924 = 1070067^2 + 1698882^2 .

It is not a de Polignac number, because 4031243434413 - 217 = 4031243303341 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4031243434423) 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 71 ways as a sum of consecutive naturals, for example, 1316967903 + ... + 1316970963.

It is an arithmetic number, because the mean of its divisors is an integer number (88060206507).

Almost surely, 24031243434413 is an apocalyptic number.

It is an amenable number.

4031243434413 is a deficient number, since it is larger than the sum of its proper divisors (2309091434091).

4031243434413 is a wasteful number, since it uses less digits than its factorization.

4031243434413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4031243434413 its reverse (3144343421304), we get a palindrome (7175586855717).

The spelling of 4031243434413 in words is "four trillion, thirty-one billion, two hundred forty-three million, four hundred thirty-four thousand, four hundred thirteen".

Divisors: 1 3 9 13 39 103 117 309 927 1061 1339 3061 3183 4017 9183 9549 10609 12051 13793 27549 31827 39793 41379 95481 109283 119379 124137 137917 315283 327849 358137 413751 945849 983547 1241253 1420679 2837547 3247721 4098679 4262037 9743163 11256149 12296037 12786111 29229489 32474149 33768447 36888111 42220373 97422447 101305341 126661119 146329937 292267341 334515263 379983357 422163937 438989811 1003545789 1266491811 1316969433 3010637367 3799475433 4348698419 13046095257 34455072089 39138285771 103365216267 310095648801 447915937157 1343747811471 4031243434413