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4134213424041 = 313930119329167
BaseRepresentation
bin111100001010010010010…
…100101001001110101001
3112122020010102221001202020
4330022102110221032221
51020213332114032131
612443121553255053
7604454443201431
oct74122224511651
915566112831666
104134213424041
111354345776628
125692a3864489
1323cb1589918c
141041502372c1
1572818ba0996
hex3c2925293a9

4134213424041 has 16 divisors (see below), whose sum is σ = 5552142489600. Its totient is φ = 2736214758288.

The previous prime is 4134213424027. The next prime is 4134213424087. The reversal of 4134213424041 is 1404243124314.

It is a happy number.

It is not a de Polignac number, because 4134213424041 - 27 = 4134213423913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4134213423993 and 4134213424011.

It is not an unprimeable number, because it can be changed into a prime (4134213424001) 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 15 ways as a sum of consecutive naturals, for example, 12395040 + ... + 12724206.

It is an arithmetic number, because the mean of its divisors is an integer number (347008905600).

Almost surely, 24134213424041 is an apocalyptic number.

It is an amenable number.

4134213424041 is a deficient number, since it is larger than the sum of its proper divisors (1417929065559).

4134213424041 is a wasteful number, since it uses less digits than its factorization.

4134213424041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359428.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4134213424041 its reverse (1404243124314), we get a palindrome (5538456548355).

The spelling of 4134213424041 in words is "four trillion, one hundred thirty-four billion, two hundred thirteen million, four hundred twenty-four thousand, forty-one".

Divisors: 1 3 139 417 30119 90357 329167 987501 4186541 12559623 45754213 137262639 9914180873 29742542619 1378071141347 4134213424041