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44146212100 = 2252210112
BaseRepresentation
bin101001000111010100…
…011011110100000100
311012221121212221020121
4221013110123310010
51210402412241400
632140330311324
73121661416504
oct510724336404
9135847787217
1044146212100
11177a4427611
128680588544
1342170779c3
1421cb101a04
1512359de21a
hexa4751bd04

44146212100 has 27 divisors (see below), whose sum is σ = 95801839861. Its totient is φ = 17657644400.

The previous prime is 44146212083. The next prime is 44146212113. The reversal of 44146212100 is 121264144.

The square root of 44146212100 is 210110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15892636356 + 28253575744 = 126066^2 + 168088^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2090595 + ... + 2111605.

Almost surely, 244146212100 is an apocalyptic number.

44146212100 is the 210110-th square number.

It is an amenable number.

44146212100 is an abundant number, since it is smaller than the sum of its proper divisors (51655627761).

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

44146212100 is an frugal number, since it uses more digits than its factorization.

44146212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42036 (or 21018 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Multiplying 44146212100 by its sum of digits (25), we get a square (1103655302500 = 10505502).

44146212100 divided by its sum of digits (25) gives a square (1765848484 = 420222).

Adding to 44146212100 its reverse (121264144), we get a palindrome (44267476244).

The spelling of 44146212100 in words is "forty-four billion, one hundred forty-six million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21011 42022 84044 105055 210110 420220 525275 1050550 2101100 441462121 882924242 1765848484 2207310605 4414621210 8829242420 11036553025 22073106050 44146212100