Search a number
-
+
1038142945449 = 323396312
BaseRepresentation
bin11110001101101100010…
…01000011100010101001
310200020121222002211001100
433012312021003202221
5114002104043223244
62112525530112013
7135001102303431
oct17066611034251
93606558084040
101038142945449
113703016a0405
12149247b7b609
1376b866a294c
14383641292c1
151c0101c4b69
hexf1b62438a9

1038142945449 has 9 divisors (see below), whose sum is σ = 1499544225309. Its totient is φ = 692093259180.

The previous prime is 1038142945417. The next prime is 1038142945457. The reversal of 1038142945449 is 9445492418301.

The square root of 1038142945449 is 1018893.

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

1038142945449 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 1 + 4 + 2 + 94 + 544 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1038142945449 - 25 = 1038142945417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1038142945395 and 1038142945404.

It is not an unprimeable number, because it can be changed into a prime (1038142945249) 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 8 ways as a sum of consecutive naturals, for example, 2886864 + ... + 3226494.

Almost surely, 21038142945449 is an apocalyptic number.

1038142945449 is the 1018893-rd square number.

1038142945449 is the 509447-th centered octagonal number.

It is an amenable number.

1038142945449 is a deficient number, since it is larger than the sum of its proper divisors (461401279860).

1038142945449 is an frugal number, since it uses more digits than its factorization.

1038142945449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679268 (or 339634 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1038142945449 in words is "one trillion, thirty-eight billion, one hundred forty-two million, nine hundred forty-five thousand, four hundred forty-nine".

Divisors: 1 3 9 339631 1018893 3056679 115349216161 346047648483 1038142945449