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3024114144001 = 294143241124533
BaseRepresentation
bin101100000000011011001…
…111111101001100000001
3101201002202201021201021121
4230000123033331030001
5344021341210102001
610233131525152241
7431325240045646
oct54003317751401
911632681251247
103024114144001
11a66579661005
1240a11585b681
1318c232682872
14a6521765dcd
15539e67806a1
hex2c01b3fd301

3024114144001 has 32 divisors (see below), whose sum is σ = 3280717883520. Its totient is φ = 2781104524800.

The previous prime is 3024114143993. The next prime is 3024114144043. The reversal of 3024114144001 is 1004414114203.

3024114144001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3024114144001 - 23 = 3024114143993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3024114147001) 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 31 ways as a sum of consecutive naturals, for example, 123254931 + ... + 123279463.

It is an arithmetic number, because the mean of its divisors is an integer number (102522433860).

Almost surely, 23024114144001 is an apocalyptic number.

It is an amenable number.

3024114144001 is a deficient number, since it is larger than the sum of its proper divisors (256603739519).

3024114144001 is a wasteful number, since it uses less digits than its factorization.

3024114144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27057.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 3024114144001 its reverse (1004414114203), we get a palindrome (4028528258204).

The spelling of 3024114144001 in words is "three trillion, twenty-four billion, one hundred fourteen million, one hundred forty-four thousand, one".

Divisors: 1 29 41 43 1189 1247 1763 2411 24533 51127 69919 98851 103673 711457 1005853 1054919 2866679 3006517 4250593 29169737 30592651 43251679 59149063 123267197 1254298691 1715322827 2425111583 2543409709 70328235907 73758881561 104279798069 3024114144001