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144433716657 = 3411762766617
BaseRepresentation
bin1000011010000011101…
…0111001110110110001
3111210210211112000121020
42012200322321312301
54331300012413112
6150204003450053
713302126222636
oct2064072716661
9453724460536
10144433716657
115628808208a
1223baa686929
131080a2cb889
146dc240218d
153b550ba48c
hex21a0eb9db1

144433716657 has 16 divisors (see below), whose sum is σ = 197289473472. Its totient is φ = 93933889280.

The previous prime is 144433716641. The next prime is 144433716689. The reversal of 144433716657 is 756617334441.

It is a happy number.

144433716657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 144433716657 - 24 = 144433716641 is a prime.

It is a super-2 number, since 2×1444337166572 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144433716257) by changing a digit.

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, 2134813 + ... + 2201429.

It is an arithmetic number, because the mean of its divisors is an integer number (12330592092).

Almost surely, 2144433716657 is an apocalyptic number.

It is an amenable number.

144433716657 is a deficient number, since it is larger than the sum of its proper divisors (52855756815).

144433716657 is a wasteful number, since it uses less digits than its factorization.

144433716657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84288.

The product of its digits is 5080320, while the sum is 51.

The spelling of 144433716657 in words is "one hundred forty-four billion, four hundred thirty-three million, seven hundred sixteen thousand, six hundred fifty-seven".

Divisors: 1 3 41 123 17627 52881 66617 199851 722707 2168121 2731297 8193891 1174257859 3522773577 48144572219 144433716657