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434134131112 = 231143125991127
BaseRepresentation
bin1100101000101000110…
…10010010000110101000
31112111120112221220010001
412110110122102012220
524103101314143422
6531234413032344
743236151141153
oct6242432220650
91474515856101
10434134131112
1115812a443310
127017a7856b4
1331c28358a66
14170256b8c9a
15b45d440227
hex65146921a8

434134131112 has 64 divisors (see below), whose sum is σ = 909384537600. Its totient is φ = 192589333440.

The previous prime is 434134131097. The next prime is 434134131139. The reversal of 434134131112 is 211131431434.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4718493 + ... + 4809619.

It is an arithmetic number, because the mean of its divisors is an integer number (14209133400).

Almost surely, 2434134131112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434134131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454692268800).

434134131112 is an abundant number, since it is smaller than the sum of its proper divisors (475250406488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434134131112 is a wasteful number, since it uses less digits than its factorization.

434134131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92446 (or 92442 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

Adding to 434134131112 its reverse (211131431434), we get a palindrome (645265562546).

The spelling of 434134131112 in words is "four hundred thirty-four billion, one hundred thirty-four million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 946 1259 1892 2518 3784 5036 10072 13849 27698 54137 55396 91127 108274 110792 182254 216548 364508 433096 595507 729016 1002397 1191014 2004794 2382028 3918461 4009588 4764056 7836922 8019176 15673844 31347688 43103071 86206142 114728893 172412284 229457786 344824568 458915572 917831144 1262017823 2524035646 4933342399 5048071292 9866684798 10096142584 19733369596 39466739192 54266766389 108533532778 217067065556 434134131112