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13340301440 = 27525518171
BaseRepresentation
bin11000110110010010…
…01101100010000000
31021102201010112021112
430123021031202000
5204310104121230
610043424542452
7651404456054
oct143311154200
937381115245
1013340301440
115726285a14
122703781a28
131347a405bb
14907a2dc64
15531271d95
hex31b24d880

13340301440 has 64 divisors (see below), whose sum is σ = 31908064320. Its totient is φ = 5333376000.

The previous prime is 13340301433. The next prime is 13340301473. The reversal of 13340301440 is 4410304331.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1628555 + ... + 1636725.

It is an arithmetic number, because the mean of its divisors is an integer number (498563505).

Almost surely, 213340301440 is an apocalyptic number.

13340301440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13340301440 is an abundant number, since it is smaller than the sum of its proper divisors (18567762880).

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

13340301440 is an equidigital number, since it uses as much as digits as its factorization.

13340301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10741 (or 10729 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 13340301440 its reverse (4410304331), we get a palindrome (17750605771).

The spelling of 13340301440 in words is "thirteen billion, three hundred forty million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2551 5102 8171 10204 12755 16342 20408 25510 32684 40816 40855 51020 65368 81632 81710 102040 130736 163264 163420 204080 261472 326528 326840 408160 522944 653680 816320 1045888 1307360 1632640 2614720 5229440 20844221 41688442 83376884 104221105 166753768 208442210 333507536 416884420 667015072 833768840 1334030144 1667537680 2668060288 3335075360 6670150720 13340301440