Search a number
-
+
1114327250689 = 661215972
BaseRepresentation
bin10000001101110011000…
…101000111011100000001
310221112021101022111212011
4100031303011013130001
5121224120234010224
62211525340132521
7143336032230502
oct20156305073401
93845241274764
101114327250689
1139a646756544
1215bb69b37141
13811081366c3
143bd10208ba9
151debd6c7394
hex10373147701

1114327250689 has 9 divisors (see below), whose sum is σ = 1116714879081. Its totient is φ = 1111944723120.

The previous prime is 1114327250669. The next prime is 1114327250747. The reversal of 1114327250689 is 9860527234111.

It is a happy number.

The square root of 1114327250689 is 1055617.

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

It can be written as a sum of positive squares in 4 ways, for example, as 52780225 + 1114274470464 = 7265^2 + 1055592^2 .

It is not a de Polignac number, because 1114327250689 - 25 = 1114327250657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1114327250609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 697762039 + ... + 697763635.

It is an arithmetic number, because the mean of its divisors is an integer number (124079431009).

It is a 1-persistent number, because it is pandigital, but 2⋅1114327250689 = 2228654501378 is not.

Almost surely, 21114327250689 is an apocalyptic number.

1114327250689 is the 1055617-th square number.

1114327250689 is the 527809-th centered octagonal number.

It is an amenable number.

1114327250689 is a deficient number, since it is larger than the sum of its proper divisors (2387628392).

1114327250689 is an frugal number, since it uses more digits than its factorization.

1114327250689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 1114327250689 by its sum of digits (49), we get a square (54602035283761 = 73893192).

The spelling of 1114327250689 in words is "one trillion, one hundred fourteen billion, three hundred twenty-seven million, two hundred fifty thousand, six hundred eighty-nine".

Divisors: 1 661 1597 436921 1055617 2550409 697762837 1685820349 1114327250689