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114413565420 = 223357116179571
BaseRepresentation
bin110101010001110010…
…1000111010111101100
3101221022200022022221000
41222203211013113230
53333304333043140
6124321051440300
711160163155060
oct1524345072754
9357280268830
10114413565420
1144582525140
121a210a56090
13aa349cc58b
14577542daa0
152e99810a30
hex1aa39475ec

114413565420 has 768 divisors, whose sum is σ = 457570713600. Its totient is φ = 23048064000.

The previous prime is 114413565403. The next prime is 114413565451. The reversal of 114413565420 is 24565314411.

114413565420 is a `hidden beast` number, since 1 + 1 + 44 + 13 + 565 + 42 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 200373735 + ... + 200374305.

It is an arithmetic number, because the mean of its divisors is an integer number (595795200).

Almost surely, 2114413565420 is an apocalyptic number.

114413565420 is a gapful number since it is divisible by the number (10) 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 114413565420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228785356800).

114413565420 is an abundant number, since it is smaller than the sum of its proper divisors (343157148180).

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

114413565420 is a wasteful number, since it uses less digits than its factorization.

114413565420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 114413565420 its reverse (24565314411), we get a palindrome (138978879831).

The spelling of 114413565420 in words is "one hundred fourteen billion, four hundred thirteen million, five hundred sixty-five thousand, four hundred twenty".