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154054041121 = 3727738772
BaseRepresentation
bin1000111101111001010…
…1100001111000100001
3112201122021212010210201
42033132111201320201
510011000313303441
6154434344425201
714062413513061
oct2173625417041
9481567763721
10154054041121
115a374543262
1225a34478201
13116b1442766
147655d713a1
15401997bc31
hex23de561e21

154054041121 has 12 divisors (see below), whose sum is σ = 158829813948. Its totient is φ = 149310775872.

The previous prime is 154054041091. The next prime is 154054041181. The reversal of 154054041121 is 121140450451.

154054041121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6567319521 + 147486721600 = 81039^2 + 384040^2 .

It is not a de Polignac number, because 154054041121 - 223 = 154045652513 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 154054041121.

It is not an unprimeable number, because it can be changed into a prime (154054041181) 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 11 ways as a sum of consecutive naturals, for example, 39733435 + ... + 39737311.

It is an arithmetic number, because the mean of its divisors is an integer number (13235817829).

Almost surely, 2154054041121 is an apocalyptic number.

It is an amenable number.

154054041121 is a deficient number, since it is larger than the sum of its proper divisors (4775772827).

154054041121 is an frugal number, since it uses more digits than its factorization.

154054041121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8068 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 154054041121 its reverse (121140450451), we get a palindrome (275194491572).

The spelling of 154054041121 in words is "one hundred fifty-four billion, fifty-four million, forty-one thousand, one hundred twenty-one".

Divisors: 1 37 277 3877 10249 143449 1073929 15031129 39735373 556151773 4163622733 154054041121