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4142031435 = 325978231153
BaseRepresentation
bin1111011011100010…
…0110001001001011
3101200122221222221200
43312320212021023
531440330001220
61523002035243
7204433454253
oct36670461113
911618858850
104142031435
111836083583
129771a8b23
13510190599
142b4166963
1519397d890
hexf6e2624b

4142031435 has 48 divisors (see below), whose sum is σ = 7268649024. Its totient is φ = 2181758976.

The previous prime is 4142031433. The next prime is 4142031451. The reversal of 4142031435 is 5341302414.

It is a happy number.

4142031435 is a `hidden beast` number, since 414 + 203 + 1 + 43 + 5 = 666.

It is not a de Polignac number, because 4142031435 - 21 = 4142031433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4142031399 and 4142031408.

It is not an unprimeable number, because it can be changed into a prime (4142031433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3591819 + ... + 3592971.

It is an arithmetic number, because the mean of its divisors is an integer number (151430188).

Almost surely, 24142031435 is an apocalyptic number.

4142031435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4142031435 is a deficient number, since it is larger than the sum of its proper divisors (3126617589).

4142031435 is a wasteful number, since it uses less digits than its factorization.

4142031435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4142031435 is about 64358.6158567755. The cubic root of 4142031435 is about 1605.9713629732.

Adding to 4142031435 its reverse (5341302414), we get a palindrome (9483333849).

The spelling of 4142031435 in words is "four billion, one hundred forty-two million, thirty-one thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 45 97 291 485 823 873 1153 1455 2469 3459 4115 4365 5765 7407 10377 12345 17295 37035 51885 79831 111841 239493 335523 399155 559205 718479 948919 1006569 1197465 1677615 2846757 3592395 4744595 5032845 8540271 14233785 42701355 92045143 276135429 460225715 828406287 1380677145 4142031435