Search a number
-
+
13743103104 = 2732191314793
BaseRepresentation
bin11001100110010011…
…10001110010000000
31022110210001222021200
430303021301302000
5211121213244404
610151414221200
7664365306663
oct146311616200
938423058250
1013743103104
115912694855
1227b6654800
1313b0323193
149453236da
155567da839
hex333271c80

13743103104 has 192 divisors, whose sum is σ = 41955170400. Its totient is φ = 4305899520.

The previous prime is 13743103079. The next prime is 13743103169. The reversal of 13743103104 is 40130134731.

13743103104 is a `hidden beast` number, since 1 + 37 + 4 + 310 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2864932 + ... + 2869724.

Almost surely, 213743103104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13743103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20977585200).

13743103104 is an abundant number, since it is smaller than the sum of its proper divisors (28212067296).

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

13743103104 is a wasteful number, since it uses less digits than its factorization.

13743103104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 13743103104 its reverse (40130134731), we get a palindrome (53873237835).

The spelling of 13743103104 in words is "thirteen billion, seven hundred forty-three million, one hundred three thousand, one hundred four".