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434240244311 = 1724146379153
BaseRepresentation
bin1100101000110101011…
…11000100101001010111
31112111211221122000001112
412110122233010221113
524103311000304221
6531253123245235
743241610114116
oct6243257045127
91474757560045
10434240244311
1115818432a775
12701aa21981b
1331c4432cc33
141703581bc7d
15b46790115b
hex651abc4a57

434240244311 has 24 divisors (see below), whose sum is σ = 473563817664. Its totient is φ = 397862277120.

The previous prime is 434240244301. The next prime is 434240244313. The reversal of 434240244311 is 113442042434.

It is not a de Polignac number, because 434240244311 - 218 = 434239982167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434240244313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5446511 + ... + 5525663.

It is an arithmetic number, because the mean of its divisors is an integer number (19731825736).

Almost surely, 2434240244311 is an apocalyptic number.

434240244311 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

434240244311 is a deficient number, since it is larger than the sum of its proper divisors (39323573353).

434240244311 is a wasteful number, since it uses less digits than its factorization.

434240244311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79691 (or 79674 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 434240244311 its reverse (113442042434), we get a palindrome (547682286745).

The spelling of 434240244311 in words is "four hundred thirty-four billion, two hundred forty million, two hundred forty-four thousand, three hundred eleven".

Divisors: 1 17 41 289 463 697 7871 11849 18983 79153 133807 322711 1345601 3245273 5486087 22875217 36647839 55169641 623013263 937883897 1502561399 10591225471 25543543783 434240244311