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440405145 = 32517575693
BaseRepresentation
bin11010010000000…
…000110010011001
31010200200220021200
4122100000302121
51400220431040
6111411224413
713625245005
oct3220006231
91120626250
10440405145
112066629a4
121035a8109
137031a67b
14426c1705
15289e5630
hex1a400c99

440405145 has 24 divisors (see below), whose sum is σ = 808274376. Its totient is φ = 221065728.

The previous prime is 440405129. The next prime is 440405167. The reversal of 440405145 is 541504044.

It can be written as a sum of positive squares in 4 ways, for example, as 17239104 + 423166041 = 4152^2 + 20571^2 .

It is not a de Polignac number, because 440405145 - 24 = 440405129 is a prime.

It is a Curzon 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, 287082 + ... + 288611.

It is an arithmetic number, because the mean of its divisors is an integer number (33678099).

Almost surely, 2440405145 is an apocalyptic number.

440405145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

440405145 is a deficient number, since it is larger than the sum of its proper divisors (367869231).

440405145 is a wasteful number, since it uses less digits than its factorization.

440405145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575721 (or 575718 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 440405145 is about 20985.8320063799. The cubic root of 440405145 is about 760.8238670792.

Adding to 440405145 its reverse (541504044), we get a palindrome (981909189).

The spelling of 440405145 in words is "four hundred forty million, four hundred five thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 575693 1727079 2878465 5181237 8635395 9786781 25906185 29360343 48933905 88081029 146801715 440405145