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444004044000 = 25353113363667
BaseRepresentation
bin1100111011000001011…
…01000000110011100000
31120110001101221102021020
412131200231000303200
524233310013402000
6535550031325440
744035556050326
oct6354055006340
91513041842236
10444004044000
11161334786a10
1272074080880
1332b3c0c9bba
14176c0457d16
15b839ba3ba0
hex6760b40ce0

444004044000 has 192 divisors, whose sum is σ = 1586790196992. Its totient is φ = 107637312000.

The previous prime is 444004043999. The next prime is 444004044013. The reversal of 444004044000 is 440400444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 1549834 + ... + 1813833.

It is an arithmetic number, because the mean of its divisors is an integer number (8264532276).

Almost surely, 2444004044000 is an apocalyptic number.

444004044000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444004044000 is an abundant number, since it is smaller than the sum of its proper divisors (1142786152992).

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

444004044000 is a wasteful number, since it uses less digits than its factorization.

444004044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363706 (or 3363688 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 444004044000 its reverse (440400444), we get a palindrome (444444444444).

The spelling of 444004044000 in words is "four hundred forty-four billion, four million, forty-four thousand".