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42344302104104 = 2372111321393791103
BaseRepresentation
bin10011010000011000011010…
…00101011100111000101000
312112221002001012220221220012
421220030031011130320220
521022232112314312404
6230020412010151052
711630163165123500
oct1150141505347050
9175832035827805
1042344302104104
1112546132695730
1248ba739122488
131a820870b8100
14a65691b8ca00
154d67148dca6e
hex26830d15ce28

42344302104104 has 576 divisors, whose sum is σ = 110275530624000. Its totient is φ = 15065597514240.

The previous prime is 42344302104023. The next prime is 42344302104113. The reversal of 42344302104104 is 40140120344324.

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 143 ways as a sum of consecutive naturals, for example, 38390119217 + ... + 38390120319.

It is an arithmetic number, because the mean of its divisors is an integer number (191450574000).

Almost surely, 242344302104104 is an apocalyptic number.

42344302104104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42344302104104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55137765312000).

42344302104104 is an abundant number, since it is smaller than the sum of its proper divisors (67931228519896).

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

42344302104104 is a wasteful number, since it uses less digits than its factorization.

42344302104104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 42344302104104 its reverse (40140120344324), we get a palindrome (82484422448428).

The spelling of 42344302104104 in words is "forty-two trillion, three hundred forty-four billion, three hundred two million, one hundred four thousand, one hundred four".