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13324413414 = 2313676833733
BaseRepresentation
bin11000110100011001…
…00110100111100110
31021101121020100000010
430122030212213212
5204242022212124
610042100231050
7651122434224
oct143214464746
937347210003
1013324413414
115718314014
1226ba39b486
1313446699c0
14905895b14
1552eb84529
hex31a3269e6

13324413414 has 64 divisors (see below), whose sum is σ = 29177535744. Its totient is φ = 4031634816.

The previous prime is 13324413409. The next prime is 13324413433. The reversal of 13324413414 is 41431442331.

13324413414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3567492 + ... + 3571224.

It is an arithmetic number, because the mean of its divisors is an integer number (455898996).

Almost surely, 213324413414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13324413414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14588767872).

13324413414 is an abundant number, since it is smaller than the sum of its proper divisors (15853122330).

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

13324413414 is a wasteful number, since it uses less digits than its factorization.

13324413414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501.

The product of its digits is 13824, while the sum is 30.

Adding to 13324413414 its reverse (41431442331), we get a palindrome (54755855745).

The spelling of 13324413414 in words is "thirteen billion, three hundred twenty-four million, four hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 402 683 871 1366 1742 2049 2613 3733 4098 5226 7466 8879 11199 17758 22398 26637 45761 48529 53274 91522 97058 137283 145587 250111 274566 291174 500222 594893 750333 1189786 1500666 1784679 2549639 3251443 3569358 5099278 6502886 7648917 9754329 15297834 19508658 33145307 66290614 99435921 170825813 198871842 341651626 512477439 1024954878 2220735569 4441471138 6662206707 13324413414