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2041368373440 = 2632511831276113
BaseRepresentation
bin11101101101001011000…
…010010110100011000000
321020011010110201221221100
4131231023002112203000
5231421210300422230
64201443000454400
7300325003606554
oct35551302264300
97204113657840
102041368373440
11717815257070
1228b76a17a400
1311a666c70c56
1470b34a99864
1538179bad660
hex1db4b0968c0

2041368373440 has 672 divisors, whose sum is σ = 7814375202816. Its totient is φ = 484985733120.

The previous prime is 2041368373427. The next prime is 2041368373441. The reversal of 2041368373440 is 443738631402.

2041368373440 is a `hidden beast` number, since 2 + 0 + 4 + 136 + 8 + 3 + 73 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2041368373441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333935824 + ... + 333941936.

It is an arithmetic number, because the mean of its divisors is an integer number (11628534528).

Almost surely, 22041368373440 is an apocalyptic number.

2041368373440 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 2041368373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907187601408).

2041368373440 is an abundant number, since it is smaller than the sum of its proper divisors (5773006829376).

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

2041368373440 is a wasteful number, since it uses less digits than its factorization.

2041368373440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6357 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2041368373440 in words is "two trillion, forty-one billion, three hundred sixty-eight million, three hundred seventy-three thousand, four hundred forty".