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44105420100 = 223527197115569
BaseRepresentation
bin101001000100111000…
…110100110101000100
311012211210010111010210
4221010320310311010
51210311441420400
632132312115420
73120654612420
oct510470646504
9135753114123
1044105420100
11177833a5a15
12866a995b70
13420b794821
1421c5923b80
151232132950
hexa44e34d44

44105420100 has 288 divisors, whose sum is σ = 155690035200. Its totient is φ = 9415526400.

The previous prime is 44105420083. The next prime is 44105420147. The reversal of 44105420100 is 102450144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2825116 + ... + 2840684.

It is an arithmetic number, because the mean of its divisors is an integer number (540590400).

Almost surely, 244105420100 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 44105420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77845017600).

44105420100 is an abundant number, since it is smaller than the sum of its proper divisors (111584615100).

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

44105420100 is a wasteful number, since it uses less digits than its factorization.

44105420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15683 (or 15676 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 44105420100 its reverse (102450144), we get a palindrome (44207870244).

The spelling of 44105420100 in words is "forty-four billion, one hundred five million, four hundred twenty thousand, one hundred".