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42123103344 = 2432789617761
BaseRepresentation
bin100111001110101110…
…111000110001110000
311000201122001100202200
4213032232320301300
51142232003301334
631203500143200
73020564320320
oct471656706160
9130648040680
1042123103344
1116956437003
1281b6b37b00
133c83b9c22a
14207854d280
1511680b4799
hex9cebb8c70

42123103344 has 240 divisors, whose sum is σ = 136640986560. Its totient is φ = 11865047040.

The previous prime is 42123103343. The next prime is 42123103357. The reversal of 42123103344 is 44330132124.

42123103344 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 310 + 3 + 344 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42123103343) 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 47 ways as a sum of consecutive naturals, for example, 55351924 + ... + 55352684.

It is an arithmetic number, because the mean of its divisors is an integer number (569337444).

Almost surely, 242123103344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42123103344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68320493280).

42123103344 is an abundant number, since it is smaller than the sum of its proper divisors (94517883216).

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

42123103344 is a wasteful number, since it uses less digits than its factorization.

42123103344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42123103344 its reverse (44330132124), we get a palindrome (86453235468).

The spelling of 42123103344 in words is "forty-two billion, one hundred twenty-three million, one hundred three thousand, three hundred forty-four".