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13440313300 = 2252622921577
BaseRepresentation
bin11001000010001101…
…01110011111010100
31021200200022122202111
430201012232133110
5210011210011200
610101400320404
7654030530611
oct144106563724
937620278674
1013440313300
115777785347
122731173104
13136268960b
14917025508
15539e2a0ba
hex3211ae7d4

13440313300 has 36 divisors (see below), whose sum is σ = 29171513980. Its totient is φ = 5375013120.

The previous prime is 13440313273. The next prime is 13440313303. The reversal of 13440313300 is 331304431.

It is a happy number.

13440313300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 40398736 + 13399914564 = 6356^2 + 115758^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440313303) 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 11 ways as a sum of consecutive naturals, for example, 612112 + ... + 633688.

Almost surely, 213440313300 is an apocalyptic number.

13440313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13440313300 is an abundant number, since it is smaller than the sum of its proper divisors (15731200680).

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

13440313300 is a wasteful number, since it uses less digits than its factorization.

13440313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27820 (or 27813 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13440313300 its reverse (331304431), we get a palindrome (13771617731).

The spelling of 13440313300 in words is "thirteen billion, four hundred forty million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6229 12458 21577 24916 31145 43154 62290 86308 107885 124580 155725 215770 311450 431540 539425 622900 1078850 2157700 134403133 268806266 537612532 672015665 1344031330 2688062660 3360078325 6720156650 13440313300