Search a number
-
+
14112475776 = 2735764817
BaseRepresentation
bin11010010010010101…
…10100101010000000
31100102112010001100000
431021022310222000
5212400243211101
610252211200000
71006502031150
oct151112645200
940375101300
1014112475776
115a92140a23
12289a2a6000
13143ba000a9
1497c3d4760
15578e4e486
hex3492b4a80

14112475776 has 192 divisors, whose sum is σ = 48131254080. Its totient is φ = 4032073728.

The previous prime is 14112475759. The next prime is 14112475799. The reversal of 14112475776 is 67757421141.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185320 + ... + 250136.

It is an arithmetic number, because the mean of its divisors is an integer number (250683615).

Almost surely, 214112475776 is an apocalyptic number.

14112475776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14112475776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24065627040).

14112475776 is an abundant number, since it is smaller than the sum of its proper divisors (34018778304).

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

14112475776 is an frugal number, since it uses more digits than its factorization.

14112475776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64853 (or 64829 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The spelling of 14112475776 in words is "fourteen billion, one hundred twelve million, four hundred seventy-five thousand, seven hundred seventy-six".