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13204055040 = 2103511174597
BaseRepresentation
bin11000100110000010…
…11110010000000000
31021002012202111100120
430103001132100000
5204020214230130
610022120420240
7645131421201
oct142301362000
937065674316
1013204055040
115666387a90
122686017680
131325748927
148d38c55a8
1552430c910
hex31305e400

13204055040 has 352 divisors, whose sum is σ = 48792357504. Its totient is φ = 3012034560.

The previous prime is 13204055009. The next prime is 13204055071. The reversal of 13204055040 is 4055040231.

It is an interprime number because it is at equal distance from previous prime (13204055009) and next prime (13204055071).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13204055040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2870022 + ... + 2874618.

It is an arithmetic number, because the mean of its divisors is an integer number (138614652).

Almost surely, 213204055040 is an apocalyptic number.

13204055040 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 13204055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24396178752).

13204055040 is an abundant number, since it is smaller than the sum of its proper divisors (35588302464).

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

13204055040 is a wasteful number, since it uses less digits than its factorization.

13204055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 13204055040 its reverse (4055040231), we get a palindrome (17259095271).

The spelling of 13204055040 in words is "thirteen billion, two hundred four million, fifty-five thousand, forty".