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2044121110240 = 255112355790659
BaseRepresentation
bin11101101111101111000…
…111001101011011100000
321020102020022111110221011
4131233233013031123200
5231442330001011430
64203020053310304
7300453140516356
oct35575707153340
97212208443834
102044121110240
117189a8092a60
122901b8035394
1311a9b53606b1
1470d164d97d6
153828b6ae22a
hex1dbef1cd6e0

2044121110240 has 192 divisors, whose sum is σ = 5507242513920. Its totient is φ = 709714339840.

The previous prime is 2044121110193. The next prime is 2044121110247. The reversal of 2044121110240 is 420111214402.

It is a super-2 number, since 2×20441211102402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044121110247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22502031 + ... + 22592689.

It is an arithmetic number, because the mean of its divisors is an integer number (28683554760).

Almost surely, 22044121110240 is an apocalyptic number.

2044121110240 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 2044121110240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753621256960).

2044121110240 is an abundant number, since it is smaller than the sum of its proper divisors (3463121403680).

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

2044121110240 is a wasteful number, since it uses less digits than its factorization.

2044121110240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91265 (or 91257 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 2044121110240 its reverse (420111214402), we get a palindrome (2464232324642).

The spelling of 2044121110240 in words is "two trillion, forty-four billion, one hundred twenty-one million, one hundred ten thousand, two hundred forty".