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14400244240 = 245180003053
BaseRepresentation
bin11010110100101001…
…00100101000010000
31101011120121012110021
431122110210220100
5213442430303430
610340531113224
71016565025234
oct153224445020
941146535407
1014400244240
11611a6206a8
12295a742814
1314865076a5
149a87025c4
1559434407a
hex35a524a10

14400244240 has 20 divisors (see below), whose sum is σ = 33480568044. Its totient is φ = 5760097664.

The previous prime is 14400244237. The next prime is 14400244351. The reversal of 14400244240 is 4244200441.

It can be written as a sum of positive squares in 2 ways, for example, as 7739072784 + 6661171456 = 87972^2 + 81616^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 90001447 + ... + 90001606.

Almost surely, 214400244240 is an apocalyptic number.

14400244240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14400244240 is an abundant number, since it is smaller than the sum of its proper divisors (19080323804).

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

14400244240 is a wasteful number, since it uses less digits than its factorization.

14400244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180003066 (or 180003060 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 14400244240 its reverse (4244200441), we get a palindrome (18644444681).

The spelling of 14400244240 in words is "fourteen billion, four hundred million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 180003053 360006106 720012212 900015265 1440024424 1800030530 2880048848 3600061060 7200122120 14400244240