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14201320144 = 2411131615949
BaseRepresentation
bin11010011100111011…
…01111001011010000
31100122201021210220011
431032131233023100
5213041014221034
610305103324304
71011631141504
oct151635571320
940581253804
1014201320144
116028303020
122903bb0694
13145423901b
1498a120304
15581b4d864
hex34e76f2d0

14201320144 has 40 divisors (see below), whose sum is σ = 30245608800. Its totient is φ = 6405859200.

The previous prime is 14201320139. The next prime is 14201320151. The reversal of 14201320144 is 44102310241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284919 + ... + 331030.

It is an arithmetic number, because the mean of its divisors is an integer number (756140220).

Almost surely, 214201320144 is an apocalyptic number.

It is an amenable number.

14201320144 is an abundant number, since it is smaller than the sum of its proper divisors (16044288656).

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

14201320144 is a wasteful number, since it uses less digits than its factorization.

14201320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616099 (or 616093 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14201320144 its reverse (44102310241), we get a palindrome (58303630385).

The spelling of 14201320144 in words is "fourteen billion, two hundred one million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 524 1048 1441 2096 2882 5764 11528 23056 615949 1231898 2463796 4927592 6775439 9855184 13550878 27101756 54203512 80689319 108407024 161378638 322757276 645514552 887582509 1291029104 1775165018 3550330036 7100660072 14201320144