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14424161144 = 23194312717377
BaseRepresentation
bin11010110111011111…
…10011101101111000
31101020020121022021112
431123233303231320
5214020041124034
610343143455452
71020305226641
oct153357635570
941206538245
1014424161144
116132076838
122966757588
13148b45c8c3
149ab96a6c8
155964ba7ce
hex35bbf3b78

14424161144 has 64 divisors (see below), whose sum is σ = 29361868800. Its totient is φ = 6620673024.

The previous prime is 14424161137. The next prime is 14424161153. The reversal of 14424161144 is 44116142441.

It is a self number, because there is not a number n which added to its sum of digits gives 14424161144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821384 + ... + 838760.

It is an arithmetic number, because the mean of its divisors is an integer number (458779200).

Almost surely, 214424161144 is an apocalyptic number.

It is an amenable number.

14424161144 is an abundant number, since it is smaller than the sum of its proper divisors (14937707656).

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

14424161144 is a wasteful number, since it uses less digits than its factorization.

14424161144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17572 (or 17568 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The spelling of 14424161144 in words is "fourteen billion, four hundred twenty-four million, one hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 19 38 43 76 86 127 152 172 254 344 508 817 1016 1634 2413 3268 4826 5461 6536 9652 10922 17377 19304 21844 34754 43688 69508 103759 139016 207518 330163 415036 660326 747211 830072 1320652 1494422 2206879 2641304 2988844 4413758 5977688 8827516 14197009 17655032 28394018 41930701 56788036 83861402 94895797 113576072 167722804 189791594 335445608 379583188 759166376 1803020143 3606040286 7212080572 14424161144