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13434423444 = 22321328706033
BaseRepresentation
bin11001000001100000…
…10000100010010100
31021200021020102101200
430200300100202110
5210003203022234
610101030152500
7653626500201
oct144060204224
937607212350
1013434423444
1157744221a2
12272b1b2730
1313613a67b0
14916330ca8
15539664d99
hex320c10894

13434423444 has 36 divisors (see below), whose sum is σ = 36571487316. Its totient is φ = 4133668608.

The previous prime is 13434423403. The next prime is 13434423473. The reversal of 13434423444 is 44432443431.

13434423444 is a `hidden beast` number, since 1 + 343 + 44 + 234 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2438384400 + 10996039044 = 49380^2 + 104862^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×134344234442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13434423399 and 13434423408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14352549 + ... + 14353484.

Almost surely, 213434423444 is an apocalyptic number.

It is an amenable number.

13434423444 is an abundant number, since it is smaller than the sum of its proper divisors (23137063872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13434423444 is a wasteful number, since it uses less digits than its factorization.

13434423444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28706056 (or 28706051 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 13434423444 its reverse (44432443431), we get a palindrome (57866866875).

The spelling of 13434423444 in words is "thirteen billion, four hundred thirty-four million, four hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 28706033 57412066 86118099 114824132 172236198 258354297 344472396 373178429 516708594 746356858 1033417188 1119535287 1492713716 2239070574 3358605861 4478141148 6717211722 13434423444