Search a number
-
+
114411432213 = 321319127405253
BaseRepresentation
bin110101010001101110…
…0111110100100010101
3101221022112021221201100
41222203130332210111
53333303311312323
6124320534020313
711160136061601
oct1524334764425
9357275257640
10114411432213
11445812a8461
121a2101a7699
13aa34433620
145775036501
152e9953d943
hex1aa373e915

114411432213 has 48 divisors (see below), whose sum is σ = 188815943680. Its totient is φ = 66176030592.

The previous prime is 114411432133. The next prime is 114411432259. The reversal of 114411432213 is 312234114411.

It is a happy number.

114411432213 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 11 + 432 + 213 = 666.

It is not a de Polignac number, because 114411432213 - 228 = 114142996757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114411432283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79695 + ... + 484947.

Almost surely, 2114411432213 is an apocalyptic number.

114411432213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114411432213 is a deficient number, since it is larger than the sum of its proper divisors (74404511467).

114411432213 is a wasteful number, since it uses less digits than its factorization.

114411432213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405418 (or 405415 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 114411432213 its reverse (312234114411), we get a palindrome (426645546624).

The spelling of 114411432213 in words is "one hundred fourteen billion, four hundred eleven million, four hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 9 13 19 39 57 117 127 171 247 381 741 1143 1651 2223 2413 4953 7239 14859 21717 31369 94107 282321 405253 1215759 3647277 5268289 7699807 15804867 23099421 47414601 51467131 69298263 100097491 154401393 300292473 463204179 669072703 900877419 977875489 2007218109 2933626467 6021654327 8800879401 12712381357 38137144071 114411432213