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440052325344 = 25334316217307
BaseRepresentation
bin1100110011101010010…
…10011001101111100000
31120001212000002022101000
412121311022121233200
524202211343402334
6534053544312000
743535623022562
oct6316512315740
91501760068330
10440052325344
1115a69707a225
1271350772600
133265c4b1538
14174276b1332
15b6a7cb9299
hex6675299be0

440052325344 has 192 divisors, whose sum is σ = 1314324506880. Its totient is φ = 143164869120.

The previous prime is 440052325333. The next prime is 440052325381. The reversal of 440052325344 is 443523250044.

440052325344 is a `hidden beast` number, since 4 + 40 + 0 + 52 + 32 + 534 + 4 = 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 = 440052325299 and 440052325308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60219739 + ... + 60227045.

It is an arithmetic number, because the mean of its divisors is an integer number (6845440140).

Almost surely, 2440052325344 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 440052325344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657162253440).

440052325344 is an abundant number, since it is smaller than the sum of its proper divisors (874272181536).

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

440052325344 is a wasteful number, since it uses less digits than its factorization.

440052325344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8990 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 440052325344 its reverse (443523250044), we get a palindrome (883575575388).

The spelling of 440052325344 in words is "four hundred forty billion, fifty-two million, three hundred twenty-five thousand, three hundred forty-four".