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434201431311 = 3361263631713
BaseRepresentation
bin1100101000110000110…
…11000000110100001111
31112111202020121002122000
412110120123000310033
524103221031300221
6531245215323343
743240626161514
oct6243033006417
91474666532560
10434201431311
1115816442aa0a
1270199220553
1331c3929076b
14170305d730b
15b4642d5e26
hex65186c0d0f

434201431311 has 16 divisors (see below), whose sum is σ = 653806650720. Its totient is φ = 284722248960.

The previous prime is 434201431291. The next prime is 434201431327. The reversal of 434201431311 is 113134102434.

434201431311 is a `hidden beast` number, since 4 + 342 + 0 + 1 + 4 + 3 + 1 + 311 = 666.

It is not a de Polignac number, because 434201431311 - 213 = 434201423119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434201431511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131814210 + ... + 131817503.

It is an arithmetic number, because the mean of its divisors is an integer number (40862915670).

Almost surely, 2434201431311 is an apocalyptic number.

434201431311 is a deficient number, since it is larger than the sum of its proper divisors (219605219409).

434201431311 is a wasteful number, since it uses less digits than its factorization.

434201431311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263631783 (or 263631777 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 434201431311 its reverse (113134102434), we get a palindrome (547335533745).

The spelling of 434201431311 in words is "four hundred thirty-four billion, two hundred one million, four hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 9 27 61 183 549 1647 263631713 790895139 2372685417 7118056251 16081534493 48244603479 144733810437 434201431311