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14111104768 = 28316726539
BaseRepresentation
bin11010010010001011…
…00101111100000000
31100102102112101122221
431021011211330000
5212344420323033
610252121540424
71006454261065
oct151105457400
940372471587
1014111104768
115a91394962
122899944714
13143b640047
1497c158c6c
15578c7d12d
hex349165f00

14111104768 has 72 divisors (see below), whose sum is σ = 29510781440. Its totient is φ = 6725790720.

The previous prime is 14111104759. The next prime is 14111104769. The reversal of 14111104768 is 86740111141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111104769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 518443 + ... + 544981.

Almost surely, 214111104768 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 14111104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14755390720).

14111104768 is an abundant number, since it is smaller than the sum of its proper divisors (15399676672).

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

14111104768 is an equidigital number, since it uses as much as digits as its factorization.

14111104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26653 (or 26639 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 34.

The spelling of 14111104768 in words is "fourteen billion, one hundred eleven million, one hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 128 134 248 256 268 496 536 992 1072 1984 2077 2144 3968 4154 4288 7936 8308 8576 16616 17152 26539 33232 53078 66464 106156 132928 212312 265856 424624 531712 822709 849248 1645418 1698496 1778113 3290836 3396992 3556226 6581672 6793984 7112452 13163344 14224904 26326688 28449808 52653376 55121503 56899616 105306752 110243006 113799232 210613504 220486012 227598464 440972024 455196928 881944048 1763888096 3527776192 7055552384 14111104768