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241453424354142 = 2371121353226930391
BaseRepresentation
bin110110111001100111000001…
…100101101010001101011110
31011122220201111021220020202210
4312321213001211222031132
5223121433103113313032
62213310101041501250
7101600301641504040
oct6671470145521536
91148821437806683
10241453424354142
116aa30905408700
12230b735b341826
13a495c637a2280
14438a59db45a90
151cdab572292cc
hexdb99c196a35e

241453424354142 has 384 divisors, whose sum is σ = 665931881502720. Its totient is φ = 56771748633600.

The previous prime is 241453424354123. The next prime is 241453424354189.

241453424354142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2414534243541422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241453424354091 and 241453424354100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7944883767 + ... + 7944914157.

It is an arithmetic number, because the mean of its divisors is an integer number (1734197608080).

Almost surely, 2241453424354142 is an apocalyptic number.

241453424354142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 241453424354142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332965940751360).

241453424354142 is an abundant number, since it is smaller than the sum of its proper divisors (424478457148578).

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

241453424354142 is a wasteful number, since it uses less digits than its factorization.

241453424354142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32760 (or 32749 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 48.

The spelling of 241453424354142 in words is "two hundred forty-one trillion, four hundred fifty-three billion, four hundred twenty-four million, three hundred fifty-four thousand, one hundred forty-two".