Search a number
-
+
114060432200 = 23521121321672
BaseRepresentation
bin110101000111010001…
…0000001001101001000
3101220102001211022012212
41222032202001031020
53332043432312300
6124222034524252
711145344451131
oct1521642011510
9356361738185
10114060432200
114441115aa00
121a132736688
13a9a97ba200
145740588c88
152e78808935
hex1a8e881348

114060432200 has 324 divisors, whose sum is σ = 317538885195. Its totient is φ = 38056761600.

The previous prime is 114060432197. The next prime is 114060432203. The reversal of 114060432200 is 2234060411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (114060432197) and next prime (114060432203).

It can be written as a sum of positive squares in 5 ways, for example, as 7140588004 + 106919844196 = 84502^2 + 326986^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=238810.

It is not an unprimeable number, because it can be changed into a prime (114060432203) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 682996517 + ... + 682996683.

Almost surely, 2114060432200 is an apocalyptic number.

114060432200 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 114060432200

114060432200 is an abundant number, since it is smaller than the sum of its proper divisors (203478452995).

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

114060432200 is a wasteful number, since it uses less digits than its factorization.

114060432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Multiplying 114060432200 by its product of nonzero digits (1152), we get a square (131397617894400 = 114628802).

Adding to 114060432200 its reverse (2234060411), we get a palindrome (116294492611).

The spelling of 114060432200 in words is "one hundred fourteen billion, sixty million, four hundred thirty-two thousand, two hundred".