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2040141043224 = 23322350310332371
BaseRepresentation
bin11101101100000001111…
…000011101011000011000
321020000221221022010101200
4131230001320131120120
5231411202101340344
64201121114514200
7300252411512424
oct35540170353030
97200857263350
102040141043224
11717245483779
1228b487135960
1311a4cc8caa5b
1470a59a93b84
1538107075069
hex1db01e1d618

2040141043224 has 192 divisors, whose sum is σ = 5785109890560. Its totient is φ = 648284567040.

The previous prime is 2040141043211. The next prime is 2040141043273. The reversal of 2040141043224 is 4223401410402.

2040141043224 is a `hidden beast` number, since 20 + 4 + 0 + 1 + 410 + 4 + 3 + 224 = 666.

It is a super-2 number, since 2×20401410432242 (a number of 25 digits) contains 22 as substring.

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, 860454759 + ... + 860457129.

It is an arithmetic number, because the mean of its divisors is an integer number (30130780680).

Almost surely, 22040141043224 is an apocalyptic number.

2040141043224 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 2040141043224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892554945280).

2040141043224 is an abundant number, since it is smaller than the sum of its proper divisors (3744968847336).

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

2040141043224 is a wasteful number, since it uses less digits than its factorization.

2040141043224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2040141043224 its reverse (4223401410402), we get a palindrome (6263542453626).

It can be divided in two parts, 20401 and 41043224, that added together give a cube (41063625 = 3453).

The spelling of 2040141043224 in words is "two trillion, forty billion, one hundred forty-one million, forty-three thousand, two hundred twenty-four".