Search a number
-
+
14229092241 = 3271337945841
BaseRepresentation
bin11010100000001111…
…01011011110010001
31100201122112210001100
431100013223132101
5213120121422431
610311534455013
71012416200640
oct152007533621
940648483040
1014229092241
116041a51671
122911364469
131459c10c10
1498daad357
155842d74e6
hex3501eb791

14229092241 has 48 divisors (see below), whose sum is σ = 25363461760. Its totient is φ = 7485488640.

The previous prime is 14229092233. The next prime is 14229092243.

14229092241 is a `hidden beast` number, since 1 + 42 + 290 + 92 + 241 = 666.

14229092241 is nontrivially palindromic in base 10.

14229092241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14229092241 - 23 = 14229092233 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14229092196 and 14229092205.

It is not an unprimeable number, because it can be changed into a prime (14229092243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287481 + ... + 333321.

Almost surely, 214229092241 is an apocalyptic number.

It is an amenable number.

14229092241 is a deficient number, since it is larger than the sum of its proper divisors (11134369519).

14229092241 is a wasteful number, since it uses less digits than its factorization.

14229092241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46246 (or 46243 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14229092241 in words is "fourteen billion, two hundred twenty-nine million, ninety-two thousand, two hundred forty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 379 819 1137 2653 3411 4927 7959 14781 23877 34489 44343 45841 103467 137523 310401 320887 412569 595933 962661 1787799 2887983 4171531 5363397 12514593 17373739 37543779 52121217 121616173 156363651 225858607 364848519 677575821 1094545557 1581010249 2032727463 4743030747 14229092241