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444023441020 = 225145115300601
BaseRepresentation
bin1100111011000011101…
…11000000011001111100
31120110002202102212222101
412131201313000121330
524233330000103040
6535552003154444
744036212655365
oct6354167003174
91513082385871
10444023441020
11161344725205
127207a675a24
1332b4312ba23
14176c2c66b6c
15b83b73609a
hex6761dc067c

444023441020 has 24 divisors (see below), whose sum is σ = 933091912368. Its totient is φ = 177486960000.

The previous prime is 444023440921. The next prime is 444023441033. The reversal of 444023441020 is 20144320444.

It is a super-3 number, since 3×4440234410203 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444023441020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7621281 + ... + 7679320.

It is an arithmetic number, because the mean of its divisors is an integer number (38878829682).

Almost surely, 2444023441020 is an apocalyptic number.

It is an amenable number.

444023441020 is an abundant number, since it is smaller than the sum of its proper divisors (489068471348).

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

444023441020 is a wasteful number, since it uses less digits than its factorization.

444023441020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15302061 (or 15302059 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 444023441020 its reverse (20144320444), we get a palindrome (464167761464).

The spelling of 444023441020 in words is "four hundred forty-four billion, twenty-three million, four hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 1451 2902 5804 7255 14510 29020 15300601 30601202 61202404 76503005 153006010 306012020 22201172051 44402344102 88804688204 111005860255 222011720510 444023441020