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1444003405 = 51331223117
BaseRepresentation
bin101011000010001…
…1011111001001101
310201122010222021121
41112010123321031
510424131102110
6355142000541
750532553315
oct12604337115
93648128247
101444003405
11681114149
12343716151
131a02175b0
14d9ac8445
1586b87cda
hex5611be4d

1444003405 has 24 divisors (see below), whose sum is σ = 1928318616. Its totient is φ = 1031898240.

The previous prime is 1444003397. The next prime is 1444003417. The reversal of 1444003405 is 5043004441.

It can be written as a sum of positive squares in 4 ways, for example, as 89984196 + 1354019209 = 9486^2 + 36797^2 .

It is not a de Polignac number, because 1444003405 - 23 = 1444003397 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1444003405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50907 + ... + 74023.

It is an arithmetic number, because the mean of its divisors is an integer number (80346609).

Almost surely, 21444003405 is an apocalyptic number.

It is an amenable number.

1444003405 is a deficient number, since it is larger than the sum of its proper divisors (484315211).

1444003405 is a wasteful number, since it uses less digits than its factorization.

1444003405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23197 (or 23166 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1444003405 is about 38000.0448026052. The cubic root of 1444003405 is about 1130.2887520102.

Adding to 1444003405 its reverse (5043004441), we get a palindrome (6487007846).

The spelling of 1444003405 in words is "one billion, four hundred forty-four million, three thousand, four hundred five".

Divisors: 1 5 13 31 65 155 403 961 2015 4805 12493 23117 62465 115585 300521 716627 1502605 3583135 9316151 22215437 46580755 111077185 288800681 1444003405