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42424074101 = 109869344773
BaseRepresentation
bin100111100000101010…
…111111111101110101
311001111121101021000202
4213200222333331311
51143341030332401
631253411050245
73031210452143
oct474052777565
9131447337022
1042424074101
1116aa0313872
12827b8a0985
134001349b36
1420a64d6593
15118471606b
hex9e0abff75

42424074101 has 8 divisors (see below), whose sum is σ = 42819167160. Its totient is φ = 42029088192.

The previous prime is 42424074047. The next prime is 42424074127. The reversal of 42424074101 is 10147042424.

It can be written as a sum of positive squares in 4 ways, for example, as 3840900625 + 38583173476 = 61975^2 + 196426^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42424074101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42424074191) 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 7 ways as a sum of consecutive naturals, for example, 925151 + ... + 969923.

It is an arithmetic number, because the mean of its divisors is an integer number (5352395895).

Almost surely, 242424074101 is an apocalyptic number.

It is an amenable number.

42424074101 is a deficient number, since it is larger than the sum of its proper divisors (395093059).

42424074101 is a wasteful number, since it uses less digits than its factorization.

42424074101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53575.

The product of its (nonzero) digits is 7168, while the sum is 29.

The spelling of 42424074101 in words is "forty-two billion, four hundred twenty-four million, seventy-four thousand, one hundred one".

Divisors: 1 109 8693 44773 947537 4880257 389211689 42424074101