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144442203000041 = 174725693675629
BaseRepresentation
bin100000110101111010010010…
…001100110100110011101001
3200221102112120110220010221202
4200311322102030310303221
5122413020112432000131
61231111455414013545
742265414304546522
oct4065722214646351
9627375513803852
10144442203000041
1142029659aa1841
1214249a496472b5
136279ac243ba2b
14279507b7b9849
1511a7416e87bcb
hex835e92334ce9

144442203000041 has 24 divisors (see below), whose sum is σ = 156289734099720. Its totient is φ = 133029574932992.

The previous prime is 144442203000019. The next prime is 144442203000077. The reversal of 144442203000041 is 140000302244441.

It can be written as a sum of positive squares in 4 ways, for example, as 26164288930816 + 118277914069225 = 5115104^2 + 10875565^2 .

It is not a de Polignac number, because 144442203000041 - 218 = 144442202737897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144442202999968 and 144442203000013.

It is not an unprimeable number, because it can be changed into a prime (144442203000341) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 213451415 + ... + 214127043.

It is an arithmetic number, because the mean of its divisors is an integer number (6512072254155).

Almost surely, 2144442203000041 is an apocalyptic number.

It is an amenable number.

144442203000041 is a deficient number, since it is larger than the sum of its proper divisors (11847531099679).

144442203000041 is an equidigital number, since it uses as much as digits as its factorization.

144442203000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681433 (or 681386 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 144442203000041 its reverse (140000302244441), we get a palindrome (284442505244482).

The spelling of 144442203000041 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred three million, forty-one", and thus it is an aban number.

Divisors: 1 17 47 799 2209 5693 37553 96781 267571 675629 4548707 11485693 12575837 31754563 213789229 539827571 1492464461 3846355897 25371895837 65388050249 180778727159 3073238361703 8496600176473 144442203000041