Search a number
-
+
2040411004104 = 23311172397092683
BaseRepresentation
bin11101101100010001111…
…110010001110011001000
321020001122202021120002210
4131230101332101303020
5231412230204112404
64201204001025120
7300262200241404
oct35542176216310
97201582246083
102040411004104
11717373900340
1228b5416251a0
1311a54380bb15
1470a83888104
1538120aed689
hex1db11f91cc8

2040411004104 has 256 divisors, whose sum is σ = 5927302656000. Its totient is φ = 578467491840.

The previous prime is 2040411004069. The next prime is 2040411004139. The reversal of 2040411004104 is 4014001140402.

It is an interprime number because it is at equal distance from previous prime (2040411004069) and next prime (2040411004139).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 760494747 + ... + 760497429.

It is an arithmetic number, because the mean of its divisors is an integer number (23153526000).

Almost surely, 22040411004104 is an apocalyptic number.

2040411004104 is a gapful number since it is divisible by the number (24) 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 2040411004104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963651328000).

2040411004104 is an abundant number, since it is smaller than the sum of its proper divisors (3886891651896).

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

2040411004104 is a wasteful number, since it uses less digits than its factorization.

2040411004104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2040411004104 its reverse (4014001140402), we get a palindrome (6054412144506).

The spelling of 2040411004104 in words is "two trillion, forty billion, four hundred eleven million, four thousand, one hundred four".