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144057440615 = 51117238164709
BaseRepresentation
bin1000011000101001111…
…1100001100101100111
3111202211121111012220112
42012022133201211213
54330012201044430
6150102402523235
713256610020144
oct2061237414547
9452747435815
10144057440615
1156104740350
1223b0466651b
131077a37572a
146d884553cb
153b32041195
hex218a7e1967

144057440615 has 32 divisors (see below), whose sum is σ = 199764429120. Its totient is φ = 98563225600.

The previous prime is 144057440599. The next prime is 144057440651. The reversal of 144057440615 is 516044750441.

144057440615 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144057440615 - 24 = 144057440599 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 2193881 + ... + 2258589.

It is an arithmetic number, because the mean of its divisors is an integer number (6242638410).

Almost surely, 2144057440615 is an apocalyptic number.

144057440615 is a deficient number, since it is larger than the sum of its proper divisors (55706988505).

144057440615 is a wasteful number, since it uses less digits than its factorization.

144057440615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67123.

The product of its (nonzero) digits is 268800, while the sum is 41.

The spelling of 144057440615 in words is "one hundred forty-four billion, fifty-seven million, four hundred forty thousand, six hundred fifteen".

Divisors: 1 5 11 17 55 85 187 935 2381 11905 26191 40477 64709 130955 202385 323545 445247 711799 1100053 2226235 3558995 5500265 12100583 60502915 154072129 770360645 1694793419 2619226193 8473967095 13096130965 28811488123 144057440615