Search a number
-
+
30153441040 = 245376918013
BaseRepresentation
bin11100000101010010…
…001111111100010000
32212211110000111220121
4130011102033330100
5443223240103130
621504032520024
72115142006552
oct340522177420
985743014817
1030153441040
1111873916608
125a163b0014
132ac70ca308
14166098b4d2
15bb7337d7a
hex70548ff10

30153441040 has 20 divisors (see below), whose sum is σ = 70106750604. Its totient is φ = 12061376384.

The previous prime is 30153441023. The next prime is 30153441061. The reversal of 30153441040 is 4014435103.

It can be written as a sum of positive squares in 2 ways, for example, as 20745217024 + 9408224016 = 144032^2 + 96996^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 30153440996 and 30153441014.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188458927 + ... + 188459086.

Almost surely, 230153441040 is an apocalyptic number.

It is an amenable number.

30153441040 is an abundant number, since it is smaller than the sum of its proper divisors (39953309564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30153441040 is a wasteful number, since it uses less digits than its factorization.

30153441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376918026 (or 376918020 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 30153441040 its reverse (4014435103), we get a palindrome (34167876143).

The spelling of 30153441040 in words is "thirty billion, one hundred fifty-three million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 376918013 753836026 1507672052 1884590065 3015344104 3769180130 6030688208 7538360260 15076720520 30153441040