Search a number
-
+
114035422014 = 23238331652831
BaseRepresentation
bin110101000110100001…
…0100111001100111110
3101220100022202122200200
41222031002213030332
53332021032001024
6124215342504330
711144622044133
oct1521502471476
9356308678620
10114035422014
11443a9028428
121a1262950a6
13a9a4571497
14573b11858a
152e765182c9
hex1a8d0a733e

114035422014 has 24 divisors (see below), whose sum is σ = 247141357632. Its totient is φ = 38001867360.

The previous prime is 114035421989. The next prime is 114035422019. The reversal of 114035422014 is 410224530411.

114035422014 is a `hidden beast` number, since 1 + 1 + 403 + 54 + 2 + 201 + 4 = 666.

It is a super-2 number, since 2×1140354220142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114035422019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 757422 + ... + 895409.

It is an arithmetic number, because the mean of its divisors is an integer number (10297556568).

Almost surely, 2114035422014 is an apocalyptic number.

114035422014 is an abundant number, since it is smaller than the sum of its proper divisors (133105935618).

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

114035422014 is a wasteful number, since it uses less digits than its factorization.

114035422014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656672 (or 1656669 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 114035422014 its reverse (410224530411), we get a palindrome (524259952425).

The spelling of 114035422014 in words is "one hundred fourteen billion, thirty-five million, four hundred twenty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 3833 7666 11499 22998 34497 68994 1652831 3305662 4958493 9916986 14875479 29750958 6335301223 12670602446 19005903669 38011807338 57017711007 114035422014