Search a number
-
+
15641231040 = 2632531414273
BaseRepresentation
bin11101001000100101…
…00011111011000000
31111101001201212022100
432210102203323000
5224013123343130
611104021510400
71062414161451
oct164422437300
944331655270
1015641231040
1166a7081426
123046272400
13162364c8c6
14a85461128
15618278c60
hex3a44a3ec0

15641231040 has 336 divisors, whose sum is σ = 56902599936. Its totient is φ = 3937075200.

The previous prime is 15641231017. The next prime is 15641231057. The reversal of 15641231040 is 4013214651.

It is a happy number.

15641231040 is a `hidden beast` number, since 1 + 5 + 641 + 2 + 3 + 10 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 15641230995 and 15641231013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3658344 + ... + 3662616.

It is an arithmetic number, because the mean of its divisors is an integer number (169352976).

Almost surely, 215641231040 is an apocalyptic number.

15641231040 is a gapful number since it is divisible by the number (10) 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 15641231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28451299968).

15641231040 is an abundant number, since it is smaller than the sum of its proper divisors (41261368896).

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

15641231040 is a wasteful number, since it uses less digits than its factorization.

15641231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 15641231040 its reverse (4013214651), we get a palindrome (19654445691).

The spelling of 15641231040 in words is "fifteen billion, six hundred forty-one million, two hundred thirty-one thousand, forty".