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2040445693440 = 293357111073583
BaseRepresentation
bin11101101100010100000…
…010100110111000000000
321020001202011112221221000
4131230110002212320000
5231412313044142230
64201211240332000
7300263101140450
oct35542402467000
97201664487830
102040445693440
11717391443a10
1228b551174000
1311a54aa6635b
1470a88317d60
1538123ba1b60
hex1db140a6e00

2040445693440 has 1280 divisors, whose sum is σ = 9123256074240. Its totient is φ = 419908976640.

The previous prime is 2040445693439. The next prime is 2040445693441. The reversal of 2040445693440 is 443965440402.

2040445693440 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 44 + 569 + 3 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2040445693439) and next prime (2040445693441).

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040445693441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 569477889 + ... + 569481471.

It is an arithmetic number, because the mean of its divisors is an integer number (7127543808).

Almost surely, 22040445693440 is an apocalyptic number.

2040445693440 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 2040445693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561628037120).

2040445693440 is an abundant number, since it is smaller than the sum of its proper divisors (7082810380800).

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

2040445693440 is a wasteful number, since it uses less digits than its factorization.

2040445693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 2040445693440 in words is "two trillion, forty billion, four hundred forty-five million, six hundred ninety-three thousand, four hundred forty".