Search a number
-
+
114404606064 = 2436719292543
BaseRepresentation
bin110101010001100001…
…0111100000001110000
3101221022001110011000000
41222203002330001300
53333300034343224
6124320131430000
711160024051360
oct1524302740160
9357261404000
10114404606064
1144578465911
121a209a55300
13aa32bb3598
14577417a9a0
152e98b410c9
hex1aa30bc070

114404606064 has 560 divisors, whose sum is σ = 413752089600. Its totient is φ = 29887087104.

The previous prime is 114404606047. The next prime is 114404606089. The reversal of 114404606064 is 460606404411.

114404606064 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 0 + 46 + 0 + 606 + 4 = 666.

It is a super-3 number, since 3×1144046060643 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 44986777 + ... + 44989319.

Almost surely, 2114404606064 is an apocalyptic number.

114404606064 is a gapful number since it is divisible by the number (14) 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 114404606064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206876044800).

114404606064 is an abundant number, since it is smaller than the sum of its proper divisors (299347483536).

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

114404606064 is a wasteful number, since it uses less digits than its factorization.

114404606064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 114404606064 in words is "one hundred fourteen billion, four hundred four million, six hundred six thousand, sixty-four".