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441744787447144 = 2355218098430893
BaseRepresentation
bin110010001110000111011100…
…1001000110001110101101000
32010221002101111202121000000221
41210130032321020301311220
5430400021311041302034
64203302430453335424
7162022002431421316
oct14434167110616550
92127071452530027
10441744787447144
11118831a04284185
1241665123637574
1315c6447c3cb29c
147b127c17b10b6
153610be05bdbb4
hex191c3b9231d68

441744787447144 has 8 divisors (see below), whose sum is σ = 828271476463410. Its totient is φ = 220872393723568.

The previous prime is 441744787447001. The next prime is 441744787447169.

441744787447144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 394890899347044 + 46853888100100 = 19871862^2 + 6844990^2 .

It is a tau number, because it is divible by the number of its divisors (8).

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 as a sum of consecutive naturals, namely, 27609049215439 + ... + 27609049215454.

Almost surely, 2441744787447144 is an apocalyptic number.

It is an amenable number.

441744787447144 is a deficient number, since it is larger than the sum of its proper divisors (386526689016266).

441744787447144 is a wasteful number, since it uses less digits than its factorization.

441744787447144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55218098430899 (or 55218098430895 counting only the distinct ones).

The product of its digits is 1258815488, while the sum is 70.

The spelling of 441744787447144 in words is "four hundred forty-one trillion, seven hundred forty-four billion, seven hundred eighty-seven million, four hundred forty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 55218098430893 110436196861786 220872393723572 441744787447144