42144193 has 16 divisors (see below), whose sum is σ = 52057600. Its totient is φ = 33224256.

The previous prime is 42144161. The next prime is 42144217. The reversal of 42144193 is 39144124.

It is a Cunningham number, because it is equal to 348³+1.

It is not a de Polignac number, because 42144193 - 2⁵ = 42144161 is a prime.

It is a super-2 number, since 2×42144193² = 3552266007242498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42144103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31096 + ... + 32422.

It is an arithmetic number, because the mean of its divisors is an integer number (3253600).

Almost surely, 2^42144193 is an apocalyptic number.

It is an amenable number.

42144193 is a deficient number, since it is larger than the sum of its proper divisors (9913407).

42144193 is a wasteful number, since it uses less digits than its factorization.

42144193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696.

The product of its digits is 3456, while the sum is 28.

The square root of 42144193 is about 6491.8558979694. The cubic root of 42144193 is about 348.0000027525. Note that the first 5 decimals are identical.

The spelling of 42144193 in words is "forty-two million, one hundred forty-four thousand, one hundred ninety-three".