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14302416544 = 2513173198733
BaseRepresentation
bin11010101000111110…
…11000111010100000
31100220202112001002021
431110133120322200
5213242404312134
610323114231224
71014266351263
oct152437307240
940822461067
1014302416544
11607a383269
122931a25514
13146c174890
14999718cda
1558a96d0b4
hex3547d8ea0

14302416544 has 48 divisors (see below), whose sum is σ = 30499309512. Its totient is φ = 6562925568.

The previous prime is 14302416529. The next prime is 14302416551. The reversal of 14302416544 is 44561420341.

14302416544 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 4 ways, for example, as 14013824400 + 288592144 = 118380^2 + 16988^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27399 + ... + 171334.

Almost surely, 214302416544 is an apocalyptic number.

It is an amenable number.

14302416544 is an abundant number, since it is smaller than the sum of its proper divisors (16196892968).

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

14302416544 is a wasteful number, since it uses less digits than its factorization.

14302416544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198929 (or 198921 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 14302416544 its reverse (44561420341), we get a palindrome (58863836885).

The spelling of 14302416544 in words is "fourteen billion, three hundred two million, four hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 173 208 346 416 692 1384 2249 2768 4498 5536 8996 17992 35984 71968 198733 397466 794932 1589864 2583529 3179728 5167058 6359456 10334116 20668232 34380809 41336464 68761618 82672928 137523236 275046472 446950517 550092944 893901034 1100185888 1787802068 3575604136 7151208272 14302416544