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44103233020 = 225721147611427
BaseRepresentation
bin101001000100110000…
…011110110111111100
311012211122000101000211
4221010300132313330
51210310411424040
632132153202204
73120630203200
oct510460366774
9135748011024
1044103233020
1117782141810
12866a100364
13420b1aa1b2
1421c5514b00
151231d4e8ea
hexa44c1edfc

44103233020 has 288 divisors, whose sum is σ = 122086185984. Its totient is φ = 13224153600.

The previous prime is 44103233011. The next prime is 44103233039. The reversal of 44103233020 is 2033230144.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 44103232982 and 44103233000.

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 95 ways as a sum of consecutive naturals, for example, 30905547 + ... + 30906973.

It is an arithmetic number, because the mean of its divisors is an integer number (423910368).

Almost surely, 244103233020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44103233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61043092992).

44103233020 is an abundant number, since it is smaller than the sum of its proper divisors (77982952964).

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

44103233020 is a wasteful number, since it uses less digits than its factorization.

44103233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 44103233020 its reverse (2033230144), we get a palindrome (46136463164).

The spelling of 44103233020 in words is "forty-four billion, one hundred three million, two hundred thirty-three thousand, twenty".