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2040333113400 = 2335237307299371
BaseRepresentation
bin11101101100001101010…
…101001001100000111000
321020001110022201022010220
4131230031111021200320
5231412100234112100
64201152135340040
7300260233211661
oct35541525114070
97201408638126
102040333113400
1171733393a95a
1228b51b521620
1311a53063984a
1470a773b0368
1538118d64aa0
hex1db0d549838

2040333113400 has 192 divisors, whose sum is σ = 6517160791680. Its totient is φ = 527657587200.

The previous prime is 2040333113389. The next prime is 2040333113461. The reversal of 2040333113400 is 43113330402.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6665715 + ... + 6965085.

It is an arithmetic number, because the mean of its divisors is an integer number (33943545790).

Almost surely, 22040333113400 is an apocalyptic number.

2040333113400 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 2040333113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258580395840).

2040333113400 is an abundant number, since it is smaller than the sum of its proper divisors (4476827678280).

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

2040333113400 is a wasteful number, since it uses less digits than its factorization.

2040333113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299734 (or 299725 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2040333113400 its reverse (43113330402), we get a palindrome (2083446443802).

The spelling of 2040333113400 in words is "two trillion, forty billion, three hundred thirty-three million, one hundred thirteen thousand, four hundred".