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641142432 = 25337227467
BaseRepresentation
bin100110001101110…
…000111010100000
31122200102102002000
4212031300322200
52303113024212
6143341524000
721613422630
oct4615607240
91580372060
10641142432
112a99a9887
1215a873600
13a2aa2428
14612166c0
153b4481dc
hex26370ea0

641142432 has 192 divisors, whose sum is σ = 2151152640. Its totient is φ = 181986048.

The previous prime is 641142421. The next prime is 641142449. The reversal of 641142432 is 234241146.

It is a happy number.

641142432 is a `hidden beast` number, since 6 + 411 + 4 + 243 + 2 = 666.

It is a super-2 number, since 2×6411424322 = 822127236221749248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 641142396 and 641142405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1372663 + ... + 1373129.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 2641142432 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 641142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075576320).

641142432 is an abundant number, since it is smaller than the sum of its proper divisors (1510010208).

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

641142432 is a wasteful number, since it uses less digits than its factorization.

641142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 706 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 641142432 is about 25320.7905089869. The cubic root of 641142432 is about 862.2863410275.

Adding to 641142432 its reverse (234241146), we get a palindrome (875383578).

The spelling of 641142432 in words is "six hundred forty-one million, one hundred forty-two thousand, four hundred thirty-two".