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42022332024 = 2331750930501
BaseRepresentation
bin100111001000101110…
…011110011001111000
311000110121102122111120
4213020232132121320
51142030204111044
631145500225240
73015231633351
oct471056363170
9130417378446
1042022332024
1116904569022
12818923b220
133c6904862a
142068ddad28
15115e30b519
hex9c8b9e678

42022332024 has 16 divisors (see below), whose sum is σ = 105055830120. Its totient is φ = 14007444000.

The previous prime is 42022332019. The next prime is 42022332059. The reversal of 42022332024 is 42023322024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1750930501 = 42022332024 / (4 + 2 + 0 + 2 + 2 + 3 + 3 + 2 + 0 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 42022331985 and 42022332003.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 875465227 + ... + 875465274.

Almost surely, 242022332024 is an apocalyptic number.

It is an amenable number.

42022332024 is an abundant number, since it is smaller than the sum of its proper divisors (63033498096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42022332024 is a wasteful number, since it uses less digits than its factorization.

42022332024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750930510 (or 1750930506 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 42022332024 its reverse (42023322024), we get a palindrome (84045654048).

The spelling of 42022332024 in words is "forty-two billion, twenty-two million, three hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 1750930501 3501861002 5252791503 7003722004 10505583006 14007444008 21011166012 42022332024