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144057440605 = 51313716177141
BaseRepresentation
bin1000011000101001111…
…1100001100101011101
3111202211121111012220011
42012022133201211131
54330012201044410
6150102402523221
713256610020131
oct2061237414535
9452747435804
10144057440605
1156104740341
1223b04666511
131077a375720
146d884553c1
153b3204118a
hex218a7e195d

144057440605 has 16 divisors (see below), whose sum is σ = 187525430064. Its totient is φ = 105604369920.

The previous prime is 144057440599. The next prime is 144057440651. The reversal of 144057440605 is 506044750441.

144057440605 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 8 ways, for example, as 28540385721 + 115517054884 = 168939^2 + 339878^2 .

It is not a de Polignac number, because 144057440605 - 25 = 144057440573 is a prime.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 8079666 + ... + 8097475.

It is an arithmetic number, because the mean of its divisors is an integer number (11720339379).

Almost surely, 2144057440605 is an apocalyptic number.

It is an amenable number.

144057440605 is a deficient number, since it is larger than the sum of its proper divisors (43467989459).

144057440605 is a wasteful number, since it uses less digits than its factorization.

144057440605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16177296.

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 144057440605 in words is "one hundred forty-four billion, fifty-seven million, four hundred forty thousand, six hundred five".

Divisors: 1 5 13 65 137 685 1781 8905 16177141 80885705 210302833 1051514165 2216268317 11081341585 28811488121 144057440605