Search a number
-
+
3141089632 = 253110932897
BaseRepresentation
bin1011101100111001…
…0011100101100000
322002220111212221001
42323032103211200
522413104332012
61235404241344
7140560551502
oct27316234540
98086455831
103141089632
11137207714a
12737b40254
133b09b3825
1421b251d72
15135b63357
hexbb393960

3141089632 has 48 divisors (see below), whose sum is σ = 6391550592. Its totient is φ = 1517967360.

The previous prime is 3141089593. The next prime is 3141089689. The reversal of 3141089632 is 2369801413.

3141089632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3141089591 and 3141089600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1082808 + ... + 1085704.

It is an arithmetic number, because the mean of its divisors is an integer number (133157304).

Almost surely, 23141089632 is an apocalyptic number.

3141089632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141089632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195775296).

3141089632 is an abundant number, since it is smaller than the sum of its proper divisors (3250460960).

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

3141089632 is a wasteful number, since it uses less digits than its factorization.

3141089632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 3141089632 is about 56045.4247195969. The cubic root of 3141089632 is about 1464.5137148272.

The spelling of 3141089632 in words is "three billion, one hundred forty-one million, eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1093 2186 2897 4372 5794 8744 11588 17488 23176 33883 34976 46352 67766 89807 92704 135532 179614 271064 359228 542128 718456 1084256 1436912 2873824 3166421 6332842 12665684 25331368 50662736 98159051 101325472 196318102 392636204 785272408 1570544816 3141089632