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2044131324000 = 253531011739749
BaseRepresentation
bin11101101111101111101…
…110001011000001100000
321020102021000201101120120
4131233233232023001200
5231442340104332000
64203021100240240
7300453323366163
oct35575756130140
97212230641516
102044131324000
11718a02929787
122901bb540080
1311a9b74c863c
1470d179d7ada
153828c52a6a0
hex1dbefb8b060

2044131324000 has 384 divisors, whose sum is σ = 6802666416000. Its totient is φ = 536529920000.

The previous prime is 2044131323977. The next prime is 2044131324077. The reversal of 2044131324000 is 4231314402.

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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209671126 + ... + 209680874.

It is an arithmetic number, because the mean of its divisors is an integer number (17715277125).

Almost surely, 22044131324000 is an apocalyptic number.

2044131324000 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 2044131324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401333208000).

2044131324000 is an abundant number, since it is smaller than the sum of its proper divisors (4758535092000).

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

2044131324000 is a wasteful number, since it uses less digits than its factorization.

2044131324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2044131324000 its reverse (4231314402), we get a palindrome (2048362638402).

The spelling of 2044131324000 in words is "two trillion, forty-four billion, one hundred thirty-one million, three hundred twenty-four thousand".