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13430544168 = 2334137936013
BaseRepresentation
bin11001000001000010…
…11101011100101000
31021122222221100000210
430200201131130220
5210001204403133
610100411101120
7653551512306
oct144041353450
937588840023
1013430544168
115772212688
122729a417a0
131360648b72
14915a01276
1553914a763
hex32085d728

13430544168 has 64 divisors (see below), whose sum is σ = 34487006400. Its totient is φ = 4356011520.

The previous prime is 13430544157. The next prime is 13430544203. The reversal of 13430544168 is 86144503431.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354930 + ... + 390942.

It is an arithmetic number, because the mean of its divisors is an integer number (538859475).

Almost surely, 213430544168 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 13430544168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17243503200).

13430544168 is an abundant number, since it is smaller than the sum of its proper divisors (21056462232).

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

13430544168 is a wasteful number, since it uses less digits than its factorization.

13430544168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36442 (or 36438 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 13430544168 in words is "thirteen billion, four hundred thirty million, five hundred forty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 379 492 758 984 1137 1516 2274 3032 4548 9096 15539 31078 36013 46617 62156 72026 93234 108039 124312 144052 186468 216078 288104 372936 432156 864312 1476533 2953066 4429599 5906132 8859198 11812264 13648927 17718396 27297854 35436792 40946781 54595708 81893562 109191416 163787124 327574248 559606007 1119212014 1678818021 2238424028 3357636042 4476848056 6715272084 13430544168