Search a number
-
+
11304431114032 = 247197512347313
BaseRepresentation
bin1010010010000000010010…
…0110011101011100110000
31111000200201020111121210001
42210200010212131130300
52440202433331122112
640013103422515344
72244501225022540
oct244400446353460
944020636447701
1011304431114032
113669200726821
121326a5b135b54
1364000728aa14
142b11ccdb1320
151490c2d9ac57
hexa480499d730

11304431114032 has 40 divisors (see below), whose sum is σ = 25158302506656. Its totient is φ = 4820163511296.

The previous prime is 11304431113999. The next prime is 11304431114047. The reversal of 11304431114032 is 23041113440311.

It is a super-3 number, since 3×113044311140323 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 256151593 + ... + 256195720.

Almost surely, 211304431114032 is an apocalyptic number.

It is an amenable number.

11304431114032 is an abundant number, since it is smaller than the sum of its proper divisors (13853871392624).

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

11304431114032 is a wasteful number, since it uses less digits than its factorization.

11304431114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512347525 (or 512347519 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 11304431114032 its reverse (23041113440311), we get a palindrome (34345544554343).

The spelling of 11304431114032 in words is "eleven trillion, three hundred four billion, four hundred thirty-one million, one hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 197 394 788 1379 1576 2758 3152 5516 11032 22064 512347313 1024694626 2049389252 3586431191 4098778504 7172862382 8197557008 14345724764 28691449528 57382899056 100932420661 201864841322 403729682644 706526944627 807459365288 1413053889254 1614918730576 2826107778508 5652215557016 11304431114032