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13344410000 = 24541334441
BaseRepresentation
bin11000110110110001…
…11000100110010000
31021102222212021011102
430123120320212100
5204312132110000
610044053003532
7651454420265
oct143330704620
937388767142
1013344410000
115728631819
1227050235a8
13134884b6bc
149083bd26c
155317d43d5
hex31b638990

13344410000 has 50 divisors (see below), whose sum is σ = 32308175262. Its totient is φ = 5337760000.

The previous prime is 13344409993. The next prime is 13344410017. The reversal of 13344410000 is 1444331.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 4320169984 + 9024240016 = 65728^2 + 94996^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 657221 + ... + 677220.

Almost surely, 213344410000 is an apocalyptic number.

13344410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13344410000 is an abundant number, since it is smaller than the sum of its proper divisors (18963765262).

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

13344410000 is an equidigital number, since it uses as much as digits as its factorization.

13344410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334469 (or 1334448 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13344410000 its reverse (1444331), we get a palindrome (13345854331).

The spelling of 13344410000 in words is "thirteen billion, three hundred forty-four million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1334441 2668882 5337764 6672205 10675528 13344410 21351056 26688820 33361025 53377640 66722050 106755280 133444100 166805125 266888200 333610250 533776400 667220500 834025625 1334441000 1668051250 2668882000 3336102500 6672205000 13344410000