Search a number
-
+
114068243808 = 25323141437247
BaseRepresentation
bin110101000111011111…
…1110100010101100000
3101220102121112011201200
41222032333310111200
53332102432300213
6124222514201200
711145501034401
oct1521677642540
9356377464650
10114068243808
1144415605982
121a135283200
13a9ab2c396c
14574161d9a8
152e7934d273
hex1a8eff4560

114068243808 has 288 divisors, whose sum is σ = 351037919232. Its totient is φ = 35059046400.

The previous prime is 114068243797. The next prime is 114068243813. The reversal of 114068243808 is 808342860411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15736441 + ... + 15743687.

It is an arithmetic number, because the mean of its divisors is an integer number (1218881664).

Almost surely, 2114068243808 is an apocalyptic number.

114068243808 is a gapful number since it is divisible by the number (18) 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 114068243808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175518959616).

114068243808 is an abundant number, since it is smaller than the sum of its proper divisors (236969675424).

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

114068243808 is a wasteful number, since it uses less digits than its factorization.

114068243808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7378 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 114068243808 in words is "one hundred fourteen billion, sixty-eight million, two hundred forty-three thousand, eight hundred eight".