Search a number
-
+
114336201792 = 26329371374051
BaseRepresentation
bin110101001111011110…
…1111111110001000000
3101221010021201211222110
41222132331333301000
53333130031424132
6124305245335320
711155233452121
oct1523675776100
9357107654873
10114336201792
114454289475a
121a1aab67540
13aa21983197
145769052048
152e92b2d1cc
hex1a9ef7fc40

114336201792 has 224 divisors, whose sum is σ = 323830005120. Its totient is φ = 35533209600.

The previous prime is 114336201787. The next prime is 114336201803. The reversal of 114336201792 is 297102633411.

It is a super-2 number, since 2×1143362017922 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114336201792.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28222167 + ... + 28226217.

Almost surely, 2114336201792 is an apocalyptic number.

114336201792 is a gapful number since it is divisible by the number (12) 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 114336201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161915002560).

114336201792 is an abundant number, since it is smaller than the sum of its proper divisors (209493803328).

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

114336201792 is a wasteful number, since it uses less digits than its factorization.

114336201792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 114336201792 in words is "one hundred fourteen billion, three hundred thirty-six million, two hundred one thousand, seven hundred ninety-two".