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241320540162042 = 2321179113883154619
BaseRepresentation
bin110110110111101011010001…
…000100101100011111111010
31011122110000111100211212101100
4312313223101010230133322
5223112243431240141132
62213125043052232230
7101554555643505255
oct6667532104543772
91148400440755340
10241320540162042
116a98a514787340
122309565476b676
13a486577202cc3
144383d955bc09c
151cd747b09a37c
hexdb7ad112c7fa

241320540162042 has 192 divisors, whose sum is σ = 583389522892800. Its totient is φ = 71481311516160.

The previous prime is 241320540161989. The next prime is 241320540162101. The reversal of 241320540162042 is 240261045023142.

241320540162042 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 20 + 5 + 4 + 0 + 1 + 620 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 241320540161988 and 241320540162006.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1560665809 + ... + 1560820427.

It is an arithmetic number, because the mean of its divisors is an integer number (3038487098400).

Almost surely, 2241320540162042 is an apocalyptic number.

241320540162042 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 241320540162042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291694761446400).

241320540162042 is an abundant number, since it is smaller than the sum of its proper divisors (342068982730758).

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

241320540162042 is a wasteful number, since it uses less digits than its factorization.

241320540162042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155713 (or 155710 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 241320540162042 its reverse (240261045023142), we get a palindrome (481581585185184).

The spelling of 241320540162042 in words is "two hundred forty-one trillion, three hundred twenty billion, five hundred forty million, one hundred sixty-two thousand, forty-two".