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1304440444031 = 31416091011289
BaseRepresentation
bin10010111110110110101…
…101011001010001111111
311121200222200211101022012
4102332312231121101333
5132332443223202111
62435130205441435
7163146151554344
oct22766655312177
94550880741265
101304440444031
1146323469554a
1219098657027b
139601504b10a
14471c71d07cb
1523de8b9c48b
hex12fb6b5947f

1304440444031 has 8 divisors (see below), whose sum is σ = 1346552860800. Its totient is φ = 1262330133120.

The previous prime is 1304440444003. The next prime is 1304440444037.

1304440444031 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 1304440444031 - 230 = 1303366702207 is a prime.

It is a super-2 number, since 2×13044404440312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304440444037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 784235 + ... + 1795523.

It is an arithmetic number, because the mean of its divisors is an integer number (168319107600).

Almost surely, 21304440444031 is an apocalyptic number.

1304440444031 is a deficient number, since it is larger than the sum of its proper divisors (42112416769).

1304440444031 is a wasteful number, since it uses less digits than its factorization.

1304440444031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052929.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 1304440 and 444031, that added together give a palindrome (1748471).

The spelling of 1304440444031 in words is "one trillion, three hundred four billion, four hundred forty million, four hundred forty-four thousand, thirty-one".

Divisors: 1 31 41609 1011289 1289879 31349959 42078724001 1304440444031