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45344424001 = 374132299257
BaseRepresentation
bin101010001110101111…
…010000000001000001
311100001010112101222011
4222032233100001001
51220331133032001
632455252212521
73163451146612
oct521657200101
9140033471864
1045344424001
1118259821988
12895590a141
134378394326
1422a22c7c09
1512a5cc4d51
hexa8ebd0041

45344424001 has 16 divisors (see below), whose sum is σ = 47725730640. Its totient is φ = 43024849920.

The previous prime is 45344423923. The next prime is 45344424007. The reversal of 45344424001 is 10042444354.

It can be written as a sum of positive squares in 8 ways, for example, as 7687080976 + 37657343025 = 87676^2 + 194055^2 .

It is a cyclic number.

It is not a de Polignac number, because 45344424001 - 235 = 10984685633 is a prime.

It is a super-2 number, since 2×453444240012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45344424007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4893765 + ... + 4903021.

It is an arithmetic number, because the mean of its divisors is an integer number (2982858165).

Almost surely, 245344424001 is an apocalyptic number.

45344424001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

45344424001 is a deficient number, since it is larger than the sum of its proper divisors (2381306639).

45344424001 is a wasteful number, since it uses less digits than its factorization.

45344424001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12564.

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 45344424001 its reverse (10042444354), we get a palindrome (55386868355).

The spelling of 45344424001 in words is "forty-five billion, three hundred forty-four million, four hundred twenty-four thousand, one".

Divisors: 1 37 41 1517 3229 9257 119473 132389 342509 379537 4898393 14042869 29890853 1105961561 1225524973 45344424001