Search a number
-
+
34424222242443 = 31121492113016399
BaseRepresentation
bin1111101001111000000111…
…00010011101011010001011
311111212220221020101020102120
413310330003202131122023
514003001301343224233
6201114134104102323
710152032214100065
oct764740342353213
9144786836336376
1034424222242443
11aa7225a022300
123a3b78a4649a3
131629261c16647
148701d981a735
153ea6bde1d4b3
hex1f4f0389d68b

34424222242443 has 48 divisors (see below), whose sum is σ = 51030248640000. Its totient is φ = 20624922964800.

The previous prime is 34424222242429. The next prime is 34424222242453.

34424222242443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34424222242443 - 213 = 34424222234251 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34424222242395 and 34424222242404.

It is not an unprimeable number, because it can be changed into a prime (34424222242453) 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, 9904158 + ... + 12920556.

It is an arithmetic number, because the mean of its divisors is an integer number (1063130180000).

Almost surely, 234424222242443 is an apocalyptic number.

34424222242443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34424222242443 is a deficient number, since it is larger than the sum of its proper divisors (16606026397557).

34424222242443 is a wasteful number, since it uses less digits than its factorization.

34424222242443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016784 (or 3016773 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 42.

It can be divided in two parts, 3442422 and 2242443, that added together give a palindrome (5684865).

The spelling of 34424222242443 in words is "thirty-four trillion, four hundred twenty-four billion, two hundred twenty-two million, two hundred forty-two thousand, four hundred forty-three".

Divisors: 1 3 11 33 121 149 211 363 447 633 1639 2321 4917 6963 18029 25531 31439 54087 76593 94317 345829 1037487 3016399 3804119 9049197 11412357 33180389 99541167 364984279 449443451 636460189 1094952837 1348330353 1909380567 4943877961 7001062079 14831633883 21003186237 54382657571 77011682869 94832568161 163147972713 231035048607 284497704483 1043158249771 3129474749313 11474740747481 34424222242443