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13421232240 = 24351343711409
BaseRepresentation
bin11000111111111011…
…11100000001110000
31021122100102020110120
430133331330001300
5204441313412430
610055435330240
7653406406653
oct143775740160
937570366416
1013421232240
115767a32479
1227268b0980
13135b738550
1491469989a
1553840b610
hex31ff7c070

13421232240 has 320 divisors, whose sum is σ = 46527022080. Its totient is φ = 3179151360.

The previous prime is 13421232203. The next prime is 13421232299. The reversal of 13421232240 is 4223212431.

It is a happy number.

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 13421232240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9524656 + ... + 9526064.

It is an arithmetic number, because the mean of its divisors is an integer number (145396944).

Almost surely, 213421232240 is an apocalyptic number.

13421232240 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 13421232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23263511040).

13421232240 is an abundant number, since it is smaller than the sum of its proper divisors (33105789840).

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

13421232240 is a wasteful number, since it uses less digits than its factorization.

13421232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13421232240 its reverse (4223212431), we get a palindrome (17644444671).

The spelling of 13421232240 in words is "thirteen billion, four hundred twenty-one million, two hundred thirty-two thousand, two hundred forty".