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13199916240 = 24325710125931
BaseRepresentation
bin11000100101100011…
…01011110011010000
31021001220222012222200
430102301223303100
5204013134304430
610021452003200
7645051302550
oct142261536320
937056865880
1013199916240
115664010495
122684760500
131324929b34
148d3129160
15523c91460
hex312c6bcd0

13199916240 has 240 divisors, whose sum is σ = 51166118016. Its totient is φ = 2987136000.

The previous prime is 13199916239. The next prime is 13199916253. The reversal of 13199916240 is 4261999131.

13199916240 is a `hidden beast` number, since 1 + 3 + 19 + 9 + 9 + 1 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496075 + ... + 522005.

Almost surely, 213199916240 is an apocalyptic number.

13199916240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13199916240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25583059008).

13199916240 is an abundant number, since it is smaller than the sum of its proper divisors (37966201776).

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

13199916240 is a wasteful number, since it uses less digits than its factorization.

13199916240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26058 (or 26049 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

It can be divided in two parts, 1319991 and 6240, that added together give a palindrome (1326231).

The spelling of 13199916240 in words is "thirteen billion, one hundred ninety-nine million, nine hundred sixteen thousand, two hundred forty".