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1023342324444 = 22331131431394649
BaseRepresentation
bin11101110010000111111…
…01001010101011011100
310121211102111010100221000
432321003331022223130
5113231301113340234
62102041133310300
7133635243144036
oct16710375125334
93554374110830
101023342324444
11364aa7077820
121463b7335390
137566825433b
143775c5a4c56
151b945b45899
hexee43f4aadc

1023342324444 has 384 divisors, whose sum is σ = 3079802880000. Its totient is φ = 290949926400.

The previous prime is 1023342324437. The next prime is 1023342324467. The reversal of 1023342324444 is 4444232433201.

1023342324444 is a `hidden beast` number, since 10 + 2 + 334 + 232 + 44 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1023342324399 and 1023342324408.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 220118632 + ... + 220123280.

It is an arithmetic number, because the mean of its divisors is an integer number (8020320000).

Almost surely, 21023342324444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023342324444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539901440000).

1023342324444 is an abundant number, since it is smaller than the sum of its proper divisors (2056460555556).

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

1023342324444 is a wasteful number, since it uses less digits than its factorization.

1023342324444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 1023342324444 its reverse (4444232433201), we get a palindrome (5467574757645).

The spelling of 1023342324444 in words is "one trillion, twenty-three billion, three hundred forty-two million, three hundred twenty-four thousand, four hundred forty-four".