Search a number
-
+
3141928944 = 2432711476029
BaseRepresentation
bin1011101101000110…
…0000011111110000
322002222002112020200
42323101200133300
522413313211234
61235434235200
7140600645460
oct27321403760
98088075220
103141928944
11137259a7a0
12738285b00
133b0c1886b
1421b3cdba0
15135c7bd99
hexbb4607f0

3141928944 has 240 divisors, whose sum is σ = 11197854720. Its totient is φ = 798589440.

The previous prime is 3141928943. The next prime is 3141928949. The reversal of 3141928944 is 4498291413.

3141928944 is a `hidden beast` number, since 314 + 19 + 289 + 44 = 666.

3141928944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3141928944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141928943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518122 + ... + 524150.

It is an arithmetic number, because the mean of its divisors is an integer number (46657728).

Almost surely, 23141928944 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 3141928944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598927360).

3141928944 is an abundant number, since it is smaller than the sum of its proper divisors (8055925776).

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

3141928944 is a wasteful number, since it uses less digits than its factorization.

3141928944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108 (or 6099 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3141928944 is about 56052.9120028567. The cubic root of 3141928944 is about 1464.6441445628.

The spelling of 3141928944 in words is "three billion, one hundred forty-one million, nine hundred twenty-eight thousand, nine hundred forty-four".