Search a number
-
+
1440516046225 = 522400432
BaseRepresentation
bin10100111101100101011…
…100100111110110010001
312002201020001002012022111
4110331211130213312101
5142100134101434400
63021433002105321
7206034221235544
oct24754534476621
95081201065274
101440516046225
11505a12832513
121b3221aab241
13a5abc86c119
144da1554885b
15277100ce3ba
hex14f65727d91

1440516046225 has 9 divisors (see below), whose sum is σ = 1786247338683. Its totient is φ = 1152408036120.

The previous prime is 1440516046157. The next prime is 1440516046231. The reversal of 1440516046225 is 5226406150441.

The square root of 1440516046225 is 1200215.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 518585776641 + 921930269584 = 720129^2 + 960172^2 .

It is not a de Polignac number, because 1440516046225 - 29 = 1440516045713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5881054 + ... + 6121096.

Almost surely, 21440516046225 is an apocalyptic number.

1440516046225 is the 1200215-th square number.

1440516046225 is the 600108-th centered octagonal number.

It is an amenable number.

1440516046225 is a deficient number, since it is larger than the sum of its proper divisors (345731292458).

1440516046225 is an frugal number, since it uses more digits than its factorization.

1440516046225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480096 (or 240048 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 1440516046225 in words is "one trillion, four hundred forty billion, five hundred sixteen million, forty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 240043 1200215 6001075 57620641849 288103209245 1440516046225