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44340004404100 = 22526117737409813
BaseRepresentation
bin10100001010011101101100…
…01101100011101110000100
312210222212022010220000210001
422011032312031203232010
521302431312111412400
6234145303344411044
712224313433565116
oct1205166615435604
9183885263800701
1044340004404100
11131455435a9929
124b81481916a84
131b98324156b12
14ad40d39533b6
1551d5ba43ca6a
hex2853b6363b84

44340004404100 has 72 divisors (see below), whose sum is σ = 97800902968328. Its totient is φ = 17444221516800.

The previous prime is 44340004404089. The next prime is 44340004404119. The reversal of 44340004404100 is 140440004344.

It can be written as a sum of positive squares in 12 ways, for example, as 10055887894404 + 34284116509696 = 3171102^2 + 5855264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107990794 + ... + 108400606.

Almost surely, 244340004404100 is an apocalyptic number.

It is an amenable number.

44340004404100 is an abundant number, since it is smaller than the sum of its proper divisors (53460898564228).

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

44340004404100 is a wasteful number, since it uses less digits than its factorization.

44340004404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427625 (or 427618 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 44340004404100 its reverse (140440004344), we get a palindrome (44480444408444).

The spelling of 44340004404100 in words is "forty-four trillion, three hundred forty billion, four million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 17737 35474 70948 88685 177370 354740 409813 443425 819626 886850 1081957 1639252 1773700 2049065 2163914 4098130 4327828 5409785 8196260 10245325 10819570 20490650 21639140 24998593 27048925 40981300 49997186 54097850 99994372 108195700 124992965 249985930 499971860 624964825 1249929650 2499859300 7268853181 14537706362 29075412724 36344265905 72688531810 145377063620 181721329525 363442659050 443400044041 726885318100 886800088082 1773600176164 2217000220205 4434000440410 8868000880820 11085001101025 22170002202050 44340004404100