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2040043014240 = 2535711193119341
BaseRepresentation
bin11101101011111100000…
…010100000100001100000
321020000201002211201220120
4131223330002200201200
5231411002002423430
64201103253440240
7300250111336560
oct35537402404140
97200632751816
102040043014240
117171a5109090
1228b45a340080
1311a4b54c743a
1470a4aa56da0
15380ed65e610
hex1dafc0a0860

2040043014240 has 768 divisors, whose sum is σ = 8461502300160. Its totient is φ = 400260096000.

The previous prime is 2040043014203. The next prime is 2040043014281. The reversal of 2040043014240 is 424103400402.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2040043014240.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 218391970 + ... + 218401310.

It is an arithmetic number, because the mean of its divisors is an integer number (11017581120).

Almost surely, 22040043014240 is an apocalyptic number.

2040043014240 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 2040043014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230751150080).

2040043014240 is an abundant number, since it is smaller than the sum of its proper divisors (6421459285920).

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

2040043014240 is a wasteful number, since it uses less digits than its factorization.

2040043014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9707 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2040043014240 its reverse (424103400402), we get a palindrome (2464146414642).

The spelling of 2040043014240 in words is "two trillion, forty billion, forty-three million, fourteen thousand, two hundred forty".