Search a number
-
+
1444054049345 = 51016997408677
BaseRepresentation
bin10101000000111000010…
…101000010001001000001
312010001100121110101012002
4111000320111002021001
5142124410314034340
63023220025513345
7206221001615465
oct25007025021101
95101317411162
101444054049345
11507468956636
121b3a4a942855
13a62348533ab
144dc6d39a4a5
152786a9e6715
hex15038542241

1444054049345 has 16 divisors (see below), whose sum is σ = 1750276330128. Its totient is φ = 1143638918400.

The previous prime is 1444054049329. The next prime is 1444054049353. The reversal of 1444054049345 is 5439404504441.

It is a Cunningham number, because it is equal to 12016882+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 1444054049344 = 1^2 + 1201688^2 .

It is not a de Polignac number, because 1444054049345 - 24 = 1444054049329 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1444054049345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3329147 + ... + 3737823.

It is an arithmetic number, because the mean of its divisors is an integer number (109392270633).

Almost surely, 21444054049345 is an apocalyptic number.

It is an amenable number.

1444054049345 is a deficient number, since it is larger than the sum of its proper divisors (306222280783).

1444054049345 is a wasteful number, since it uses less digits than its factorization.

1444054049345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415780.

The product of its (nonzero) digits is 2764800, while the sum is 47.

The spelling of 1444054049345 in words is "one trillion, four hundred forty-four billion, fifty-four million, forty-nine thousand, three hundred forty-five".

Divisors: 1 5 101 505 6997 34985 408677 706697 2043385 3533485 41276377 206381885 2859512969 14297564845 288810809869 1444054049345