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331440244434405 = 3257365338765209
BaseRepresentation
bin100101101011100010111001…
…0000010001010010111100101
31121110112101012111122020021200
41023113011302002022113211
5321420304110033400110
63132525314000033113
7126545524142652021
oct11327056202122745
91543471174566250
10331440244434405
1196675022399007
123120b40b302799
13112c28b1044812
145bbbb17227381
15284b7c49646c0
hex12d717208a5e5

331440244434405 has 12 divisors (see below), whose sum is σ = 574496423686380. Its totient is φ = 176768130364992.

The previous prime is 331440244434371. The next prime is 331440244434407. The reversal of 331440244434405 is 504434442044133.

331440244434405 is a `hidden beast` number, since 3 + 3 + 144 + 0 + 24 + 4 + 43 + 440 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63291300869889 + 268148943564516 = 7955583^2 + 16375254^2 .

It is not a de Polignac number, because 331440244434405 - 219 = 331440243910117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 7365338765209 = 331440244434405 / (3 + 3 + 1 + 4 + 4 + 0 + 2 + 4 + 4 + 4 + 3 + 4 + 4 + 0 + 5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331440244434407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3682669382560 + ... + 3682669382649.

It is an arithmetic number, because the mean of its divisors is an integer number (47874701973865).

Almost surely, 2331440244434405 is an apocalyptic number.

It is an amenable number.

331440244434405 is a deficient number, since it is larger than the sum of its proper divisors (243056179251975).

331440244434405 is a wasteful number, since it uses less digits than its factorization.

331440244434405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7365338765220 (or 7365338765217 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 45.

Adding to 331440244434405 its reverse (504434442044133), we get a palindrome (835874686478538).

The spelling of 331440244434405 in words is "three hundred thirty-one trillion, four hundred forty billion, two hundred forty-four million, four hundred thirty-four thousand, four hundred five".

Divisors: 1 3 5 9 15 45 7365338765209 22096016295627 36826693826045 66288048886881 110480081478135 331440244434405