Search a number
-
+
3141705024 = 263219229521
BaseRepresentation
bin1011101101000010…
…1001110101000000
322002221200011002100
42323100221311000
522413234030044
61235425350400
7140566023603
oct27320516500
98087604070
103141705024
111372457537
12738198400
133b0b6a973
1421b37233a
15135c35869
hexbb429d40

3141705024 has 252 divisors, whose sum is σ = 9850625460. Its totient is φ = 956067840.

The previous prime is 3141705019. The next prime is 3141705029. The reversal of 3141705024 is 4205071413.

It is an interprime number because it is at equal distance from previous prime (3141705019) and next prime (3141705029).

It can be written as a sum of positive squares in 2 ways, for example, as 1265082624 + 1876622400 = 35568^2 + 43320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141705029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6029884 + ... + 6030404.

Almost surely, 23141705024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141705024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925312730).

3141705024 is an abundant number, since it is smaller than the sum of its proper divisors (6708920436).

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

3141705024 is a wasteful number, since it uses less digits than its factorization.

3141705024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3141705024 is about 56050.9145688097. The cubic root of 3141705024 is about 1464.6093494932.

Adding to 3141705024 its reverse (4205071413), we get a palindrome (7346776437).

The spelling of 3141705024 in words is "three billion, one hundred forty-one million, seven hundred five thousand, twenty-four".