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5042142135 = 3351572331021
BaseRepresentation
bin1001011001000100…
…01111101110110111
3111000101200100201000
410230202033232313
540311242022020
62152154334343
7235643333562
oct45442175667
914011610630
105042142135
112158181018
12b8872a3b3
136247c5474
1435b9114d9
151e79cd090
hex12c88fbb7

5042142135 has 64 divisors (see below), whose sum is σ = 9068492160. Its totient is φ = 2657940480.

The previous prime is 5042142103. The next prime is 5042142139. The reversal of 5042142135 is 5312412405.

5042142135 is a `hidden beast` number, since 504 + 2 + 142 + 13 + 5 = 666.

It is not a de Polignac number, because 5042142135 - 25 = 5042142103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5042142099 and 5042142108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5042142139) 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 63 ways as a sum of consecutive naturals, for example, 4937925 + ... + 4938945.

It is an arithmetic number, because the mean of its divisors is an integer number (141695190).

Almost surely, 25042142135 is an apocalyptic number.

5042142135 is a deficient number, since it is larger than the sum of its proper divisors (4026350025).

5042142135 is a wasteful number, since it uses less digits than its factorization.

5042142135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5042142135 is about 71008.0427486915. The cubic root of 5042142135 is about 1714.7666482335.

The spelling of 5042142135 in words is "five billion, forty-two million, one hundred forty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 157 233 471 699 785 1021 1165 1413 2097 2355 3063 3495 4239 5105 6291 7065 9189 10485 15315 21195 27567 31455 36581 45945 109743 137835 160297 182905 237893 329229 480891 548715 713679 801485 987687 1189465 1442673 1646145 2141037 2404455 3568395 4328019 4938435 6423111 7213365 10705185 21640095 32115555 37349201 112047603 186746005 336142809 560238015 1008428427 1680714045 5042142135