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13340341432 = 23111513173167
BaseRepresentation
bin11000110110010010…
…10111010010111000
31021102201012120010201
430123021113102320
5204310111411212
610043425451544
7651405013465
oct143311272270
937381176121
1013340341432
115726302a70
1227037a0bb4
131347a55872
14907a4066c
1553127db57
hex31b2574b8

13340341432 has 64 divisors (see below), whose sum is σ = 27563120640. Its totient is φ = 6002736000.

The previous prime is 13340341411. The next prime is 13340341459. The reversal of 13340341432 is 23414304331.

13340341432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13340341432.

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 15 ways as a sum of consecutive naturals, for example, 4210713 + ... + 4213879.

It is an arithmetic number, because the mean of its divisors is an integer number (430673760).

Almost surely, 213340341432 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 13340341432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13781560320).

13340341432 is an abundant number, since it is smaller than the sum of its proper divisors (14222779208).

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

13340341432 is a wasteful number, since it uses less digits than its factorization.

13340341432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 13340341432 its reverse (23414304331), we get a palindrome (36754645763).

The spelling of 13340341432 in words is "thirteen billion, three hundred forty million, three hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 151 302 317 604 634 1208 1268 1661 2536 3167 3322 3487 6334 6644 6974 12668 13288 13948 25336 27896 34837 47867 69674 95734 139348 191468 278696 382936 478217 526537 956434 1003939 1053074 1912868 2007878 2106148 3825736 4015756 4212296 5260387 8031512 10520774 11043329 21041548 22086658 42083096 44173316 88346632 151594789 303189578 606379156 1212758312 1667542679 3335085358 6670170716 13340341432