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13409218401 = 317717514931
BaseRepresentation
bin11000111110100000…
…00110111101100001
31021121111210212120120
430133100012331201
5204430224442101
610054330030453
7653202322125
oct143720067541
937544725516
1013409218401
115761177287
122722878429
1313590c0177
14912c4d585
15537336b36
hex31f406f61

13409218401 has 32 divisors (see below), whose sum is σ = 19226750976. Its totient is φ = 8282400000.

The previous prime is 13409218397. The next prime is 13409218411. The reversal of 13409218401 is 10481290431.

It is a happy number.

13409218401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13409218401 - 22 = 13409218397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13409218411) by changing a digit.

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, 2716906 + ... + 2721836.

It is an arithmetic number, because the mean of its divisors is an integer number (600835968).

Almost surely, 213409218401 is an apocalyptic number.

It is an amenable number.

13409218401 is a deficient number, since it is larger than the sum of its proper divisors (5817532575).

13409218401 is a wasteful number, since it uses less digits than its factorization.

13409218401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773.

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 13409218401 in words is "thirteen billion, four hundred nine million, two hundred eighteen thousand, four hundred one".

Divisors: 1 3 17 51 71 213 751 1207 2253 3621 4931 12767 14793 38301 53321 83827 159963 251481 350101 906457 1050303 2719371 3703181 5951717 11109543 17855151 62954077 188862231 262925851 788777553 4469739467 13409218401