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14354245341 = 321721012541
BaseRepresentation
bin11010101111001010…
…00110011011011101
31101001101001012211100
431113211012123131
5213344141322331
610332205143313
71015466033532
oct152745063335
941041035740
1014354245341
1160a6662a87
12294725ab39
131479b204c7
149a256ad89
155902a9ae6
hex3579466dd

14354245341 has 54 divisors (see below), whose sum is σ = 22286645966. Its totient is φ = 8900928000.

The previous prime is 14354245313. The next prime is 14354245351.

14354245341 is a `hidden beast` number, since 1 + 43 + 542 + 45 + 34 + 1 = 666.

14354245341 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 9 ways, for example, as 2572011225 + 11782234116 = 50715^2 + 108546^2 .

It is not a de Polignac number, because 14354245341 - 25 = 14354245309 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14354245296 and 14354245305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14354245351) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 26532531 + ... + 26533071.

Almost surely, 214354245341 is an apocalyptic number.

It is an amenable number.

14354245341 is a deficient number, since it is larger than the sum of its proper divisors (7932400625).

14354245341 is a wasteful number, since it uses less digits than its factorization.

14354245341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 662 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 14354245341 in words is "fourteen billion, three hundred fifty-four million, two hundred forty-five thousand, three hundred forty-one".

Divisors: 1 3 9 17 51 101 153 289 303 541 867 909 1623 1717 2601 4869 5151 9197 10201 15453 27591 29189 30603 54641 82773 87567 91809 156349 163923 173417 262701 469047 491769 520251 928897 1407141 1560753 2786691 2948089 5518741 8360073 8844267 15791249 16556223 26532801 47373747 49668669 93818597 142121241 281455791 844367373 1594916149 4784748447 14354245341