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42024240224439 = 31130831114937049
BaseRepresentation
bin10011000111000100001111…
…11010010001100010110111
312111210110220120000211221220
421203202013322101202313
521002011120444140224
6225213400333241423
711565102564051054
oct1143420772214267
9174713816024856
1042024240224439
11124324200452a0
1248686b5033273
131a5ab3ab271b5
14a53dac45802b
154cd230d3d279
hex263887e918b7

42024240224439 has 32 divisors (see below), whose sum is σ = 61153129440000. Its totient is φ = 25458004450560.

The previous prime is 42024240224413. The next prime is 42024240224509. The reversal of 42024240224439 is 93442204242024.

It is a happy number.

42024240224439 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42024240224439 - 216 = 42024240158903 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42024240224439.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42024240224339) 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 31 ways as a sum of consecutive naturals, for example, 1134269587 + ... + 1134306635.

It is an arithmetic number, because the mean of its divisors is an integer number (1911035295000).

Almost surely, 242024240224439 is an apocalyptic number.

42024240224439 is a deficient number, since it is larger than the sum of its proper divisors (19128889215561).

42024240224439 is a wasteful number, since it uses less digits than its factorization.

42024240224439 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51295.

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 42024240224439 in words is "forty-two trillion, twenty-four billion, two hundred forty million, two hundred twenty-four thousand, four hundred thirty-nine".

Divisors: 1 3 11 33 3083 9249 11149 33447 33913 37049 101739 111147 122639 367917 407539 1222617 34372367 103117101 114222067 342666201 378096037 413059301 1134288111 1239177903 1256442737 3769328211 4543652311 13630956933 1273461824983 3820385474949 14008080074813 42024240224439