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7144444417 = 113671769741
BaseRepresentation
bin1101010011101011…
…11001001000000001
3200102220112101021111
412221311321020001
5104112434210132
63140534123321
7342021530005
oct65165711001
920386471244
107144444417
113036941920
1214747b0541
1389b20b206
144babda705
152bc34c647
hex1a9d79201

7144444417 has 8 divisors (see below), whose sum is σ = 7815180672. Its totient is φ = 6477248400.

The previous prime is 7144444399. The next prime is 7144444421.

7144444417 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7144444417 - 231 = 4996960769 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7144444417.

It is not an unprimeable number, because it can be changed into a prime (7144444427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 880834 + ... + 888907.

It is an arithmetic number, because the mean of its divisors is an integer number (976897584).

Almost surely, 27144444417 is an apocalyptic number.

It is an amenable number.

7144444417 is a deficient number, since it is larger than the sum of its proper divisors (670736255).

7144444417 is a wasteful number, since it uses less digits than its factorization.

7144444417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770119.

The product of its digits is 200704, while the sum is 40.

The square root of 7144444417 is about 84524.8153916943. The cubic root of 7144444417 is about 1925.9994285804. Note that the first 3 decimals are identical.

The spelling of 7144444417 in words is "seven billion, one hundred forty-four million, four hundred forty-four thousand, four hundred seventeen".

Divisors: 1 11 367 4037 1769741 19467151 649494947 7144444417