Search a number
-
+
444635536444 = 2211101433923059
BaseRepresentation
bin1100111100001100101…
…01111101110000111100
31120111200102012120001021
412132012111331300330
524241103144131234
6540132430353524
744060324462221
oct6360625756074
91514612176037
10444635536444
111616291945a0
127220b65b8a4
1332c0cba0b78
141774027b948
15b8753429b4
hex678657dc3c

444635536444 has 48 divisors (see below), whose sum is σ = 857488867200. Its totient is φ = 200051208000.

The previous prime is 444635536439. The next prime is 444635536463.

It is a happy number.

444635536444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444635536391 and 444635536400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19270987 + ... + 19294045.

It is an arithmetic number, because the mean of its divisors is an integer number (17864351400).

Almost surely, 2444635536444 is an apocalyptic number.

444635536444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444635536444 is a deficient number, since it is larger than the sum of its proper divisors (412853330756).

444635536444 is a wasteful number, since it uses less digits than its factorization.

444635536444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27514 (or 27512 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 52.

The spelling of 444635536444 in words is "four hundred forty-four billion, six hundred thirty-five million, five hundred thirty-six thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 101 202 404 1111 2222 4339 4444 8678 17356 23059 46118 47729 92236 95458 190916 253649 438239 507298 876478 1014596 1752956 2328959 4657918 4820629 9315836 9641258 19282516 25618549 51237098 100053001 102474196 200106002 400212004 1100583011 2201166022 4402332044 10105353101 20210706202 40421412404 111158884111 222317768222 444635536444