Search a number
-
+
2323114400040 = 233573431312583
BaseRepresentation
bin100001110011100100011…
…010001001100100101000
322020002100211121001122120
4201303210122021210220
5301030214241300130
64535120215551240
7326560640406000
oct41634432114450
98202324531576
102323114400040
11816255573a35
1231629a38b520
1313b0b8068165
148062177d000
1540669a47910
hex21ce4689928

2323114400040 has 256 divisors, whose sum is σ = 8316532224000. Its totient is φ = 518648401152.

The previous prime is 2323114400027. The next prime is 2323114400093. The reversal of 2323114400040 is 400044113232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1113589 + ... + 2426171.

It is an arithmetic number, because the mean of its divisors is an integer number (32486454000).

Almost surely, 22323114400040 is an apocalyptic number.

2323114400040 is a gapful number since it is divisible by the number (20) 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 2323114400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158266112000).

2323114400040 is an abundant number, since it is smaller than the sum of its proper divisors (5993417823960).

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

2323114400040 is a wasteful number, since it uses less digits than its factorization.

2323114400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312661 (or 1312643 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2323114400040 its reverse (400044113232), we get a palindrome (2723158513272).

The spelling of 2323114400040 in words is "two trillion, three hundred twenty-three billion, one hundred fourteen million, four hundred thousand, forty".