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5440340205 = 3251961104311
BaseRepresentation
bin1010001000100010…
…10000000011101101
3112001010221220202200
411010101100003231
542120211341310
62255501212113
7251550062106
oct50421200355
915033856680
105440340205
112341a26133
121079b61039
13689155821
143987673ad
1521c9379c0
hex1444500ed

5440340205 has 48 divisors (see below), whose sum is σ = 10089056640. Its totient is φ = 2703715200.

The previous prime is 5440340183. The next prime is 5440340219. The reversal of 5440340205 is 5020430445.

5440340205 is a `hidden beast` number, since 54 + 403 + 4 + 0 + 205 = 666.

5440340205 is a nontrivial binomial coefficient, being equal to C(104311, 2).

It is not a de Polignac number, because 5440340205 - 26 = 5440340141 is a prime.

It is a super-2 number, since 2×54403402052 = 59194603092278884050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1 + ... + 104310.

It is an arithmetic number, because the mean of its divisors is an integer number (210188680).

Almost surely, 25440340205 is an apocalyptic number.

5440340205 is the 104310-th triangular number.

It is an amenable number.

5440340205 is a deficient number, since it is larger than the sum of its proper divisors (4648716435).

5440340205 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (5440340204) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (104402).

5440340205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104402 (or 104399 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 5440340205 is about 73758.6618981120. The cubic root of 5440340205 is about 1758.7685304382.

The spelling of 5440340205 in words is "five billion, four hundred forty million, three hundred forty thousand, two hundred five".

Divisors: 1 3 5 9 15 19 45 57 61 95 171 183 285 305 549 855 915 1159 2745 3477 5795 10431 17385 52155 104311 312933 521555 938799 1564665 1981909 4693995 5945727 6362971 9909545 17837181 19088913 29728635 31814855 57266739 89185905 95444565 120896449 286333695 362689347 604482245 1088068041 1813446735 5440340205