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444135131120541 = 3721149291958121
BaseRepresentation
bin110010011111100000100010…
…0101110010000001110011101
32011020112220101220221000010210
41210333001010232100032131
5431203202222031324131
64212332510150123033
7162356463403412610
oct14477010456201635
92136486356830123
10444135131120541
11119573718a36253
1241990444950479
13160a89bc862b63
147b9637dba2177
153652e92371146
hex193f044b9039d

444135131120541 has 8 divisors (see below), whose sum is σ = 676777342659904. Its totient is φ = 253791503497440.

The previous prime is 444135131120491. The next prime is 444135131120557. The reversal of 444135131120541 is 145021131531444.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 444135131120541 - 213 = 444135131112349 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 444135131120541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444135131120341) 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 7 ways as a sum of consecutive naturals, for example, 10574645979040 + ... + 10574645979081.

It is an arithmetic number, because the mean of its divisors is an integer number (84597167832488).

Almost surely, 2444135131120541 is an apocalyptic number.

It is an amenable number.

444135131120541 is a deficient number, since it is larger than the sum of its proper divisors (232642211539363).

444135131120541 is a wasteful number, since it uses less digits than its factorization.

444135131120541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21149291958131.

The product of its (nonzero) digits is 115200, while the sum is 39.

Adding to 444135131120541 its reverse (145021131531444), we get a palindrome (589156262651985).

The spelling of 444135131120541 in words is "four hundred forty-four trillion, one hundred thirty-five billion, one hundred thirty-one million, one hundred twenty thousand, five hundred forty-one".

Divisors: 1 3 7 21 21149291958121 63447875874363 148045043706847 444135131120541