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42255344355224 = 23711213716756263
BaseRepresentation
bin10011001101110010101101…
…10010100100011110011000
312112121120102121020002112012
421212321112302210132120
521014302421123331344
6225511500501005052
711620563552543110
oct1146712662443630
9175546377202465
1042255344355224
1112511433326300
1248a54513b3788
131a7687b1a7390
14a6125347a040
154d4259cdb29e
hex266e56ca4798

42255344355224 has 192 divisors, whose sum is σ = 108692613227520. Its totient is φ = 14982686611200.

The previous prime is 42255344355181. The next prime is 42255344355227.

42255344355224 is nontrivially palindromic in base 10.

42255344355224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42255344355227) 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 47 ways as a sum of consecutive naturals, for example, 2876117 + ... + 9632379.

It is an arithmetic number, because the mean of its divisors is an integer number (566107360560).

Almost surely, 242255344355224 is an apocalyptic number.

42255344355224 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 42255344355224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54346306613760).

42255344355224 is an abundant number, since it is smaller than the sum of its proper divisors (66437268872296).

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

42255344355224 is a wasteful number, since it uses less digits than its factorization.

42255344355224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756382 (or 6756367 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 50.

The spelling of 42255344355224 in words is "forty-two trillion, two hundred fifty-five billion, three hundred forty-four million, three hundred fifty-five thousand, two hundred twenty-four".