Search a number
-
+
114220423431 = 3343211466261
BaseRepresentation
bin110101001100000010…
…0010101100100000111
3101220211012212200221000
41222120010111210013
53332410412022211
6124245552024343
711152326402642
oct1523004254407
9356735780830
10114220423431
11444934a6764
121a1782320b3
13aa039a698a
145757914a59
152e878ad656
hex1a98115907

114220423431 has 32 divisors (see below), whose sum is σ = 173971677440. Its totient is φ = 74023437600.

The previous prime is 114220423283. The next prime is 114220423453. The reversal of 114220423431 is 134324022411.

114220423431 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 204 + 23 + 431 = 666.

It is not a de Polignac number, because 114220423431 - 211 = 114220421383 is a prime.

It is a super-2 number, since 2×1142204234312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114220423395 and 114220423404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114220424431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11841 + ... + 478101.

It is an arithmetic number, because the mean of its divisors is an integer number (5436614920).

Almost surely, 2114220423431 is an apocalyptic number.

114220423431 is a deficient number, since it is larger than the sum of its proper divisors (59751254009).

114220423431 is a wasteful number, since it uses less digits than its factorization.

114220423431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466524 (or 466518 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114220423431 its reverse (134324022411), we get a palindrome (248544445842).

The spelling of 114220423431 in words is "one hundred fourteen billion, two hundred twenty million, four hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 27 43 129 211 387 633 1161 1899 5697 9073 27219 81657 244971 466261 1398783 4196349 12589047 20049223 60147669 98381071 180443007 295143213 541329021 885429639 2656288917 4230386053 12691158159 38073474477 114220423431