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444213312445 = 5729777324181
BaseRepresentation
bin1100111011011010010…
…11010011101110111101
31120110120222201100121101
412131231023103232331
524234222101444240
6540022504533101
744044006566400
oct6355513235675
91513528640541
10444213312445
1116143191a441
1272112181191
1332b7357aa96
141770016dd37
15b84d23e39a
hex676d2d3bbd

444213312445 has 48 divisors (see below), whose sum is σ = 627314547888. Its totient is φ = 301060730880.

The previous prime is 444213312419. The next prime is 444213312449. The reversal of 444213312445 is 544213312444.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24240621636 + 419972690809 = 155694^2 + 648053^2 .

It is not a de Polignac number, because 444213312445 - 27 = 444213312317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444213312449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18358255 + ... + 18382435.

It is an arithmetic number, because the mean of its divisors is an integer number (13069053081).

Almost surely, 2444213312445 is an apocalyptic number.

It is an amenable number.

444213312445 is a deficient number, since it is larger than the sum of its proper divisors (183101235443).

444213312445 is a wasteful number, since it uses less digits than its factorization.

444213312445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25070 (or 25063 counting only the distinct ones).

The product of its digits is 184320, while the sum is 37.

Adding to 444213312445 its reverse (544213312444), we get a palindrome (988426624889).

Subtracting 444213312445 from its reverse (544213312444), we obtain a palindrome (99999999999).

The spelling of 444213312445 in words is "four hundred forty-four billion, two hundred thirteen million, three hundred twelve thousand, four hundred forty-five".

Divisors: 1 5 7 35 49 97 245 485 679 773 3395 3865 4753 5411 23765 24181 27055 37877 74981 120905 169267 189385 374905 524867 846335 1184869 2345557 2624335 3674069 5924345 11727785 16418899 18370345 18691913 82094495 93459565 114932293 130843391 574661465 654216955 915903737 1813115561 4579518685 9065577805 12691808927 63459044635 88842662489 444213312445