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4444333241040 = 24325711174715573
BaseRepresentation
bin100000010101100011011…
…1001110111001011010000
3120201212121020002001122100
41000223012321313023100
51040303443302203130
613241410513240400
7636043502145540
oct100530671671320
916655536061570
104444333241040
111463916284150
125b9412263100
13263139176a84
1411516d3ab320
157a9199d8c60
hex40ac6e772d0

4444333241040 has 480 divisors, whose sum is σ = 19703101706496. Its totient is φ = 869174231040.

The previous prime is 4444333241027. The next prime is 4444333241069. The reversal of 4444333241040 is 401423334444.

4444333241040 is a `hidden beast` number, since 4 + 4 + 44 + 333 + 241 + 0 + 40 = 666.

It is a super-2 number, since 2×44443332410402 (a number of 26 digits) contains 22 as substring.

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 = 4444333240986 and 4444333241004.

It is a congruent number.

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, 1415307 + ... + 3300266.

Almost surely, 24444333241040 is an apocalyptic number.

4444333241040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444333241040 is an abundant number, since it is smaller than the sum of its proper divisors (15258768465456).

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

4444333241040 is a wasteful number, since it uses less digits than its factorization.

4444333241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4715627 (or 4715618 counting only the distinct ones).

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

Adding to 4444333241040 its reverse (401423334444), we get a palindrome (4845756575484).

The spelling of 4444333241040 in words is "four trillion, four hundred forty-four billion, three hundred thirty-three million, two hundred forty-one thousand, forty".