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42353322335324 = 227111323463799181
BaseRepresentation
bin10011010000101001001101…
…01110111001110001011100
312112221221022212002011220222
421220110212232321301130
521022404101004212244
6230024503033100512
711630632544615630
oct1150244656716134
9175857285064828
1042353322335324
1112549a41344980
124900435b57738
131a82b93accb30
14a65ca9b4cdc0
154d6a91763bee
hex268526bb9c5c

42353322335324 has 192 divisors, whose sum is σ = 103865700943872. Its totient is φ = 14566415846400.

The previous prime is 42353322335321. The next prime is 42353322335333.

42353322335324 is nontrivially palindromic in base 10.

42353322335324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42353322335321) 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 63 ways as a sum of consecutive naturals, for example, 426981014 + ... + 427080194.

It is an arithmetic number, because the mean of its divisors is an integer number (540967192416).

Almost surely, 242353322335324 is an apocalyptic number.

42353322335324 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 42353322335324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51932850471936).

42353322335324 is an abundant number, since it is smaller than the sum of its proper divisors (61512378608548).

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

42353322335324 is a wasteful number, since it uses less digits than its factorization.

42353322335324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103876 (or 103874 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 44.

The spelling of 42353322335324 in words is "forty-two trillion, three hundred fifty-three billion, three hundred twenty-two million, three hundred thirty-five thousand, three hundred twenty-four".