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444121121340121 = 37230936771413781
BaseRepresentation
bin110010011111011010000000…
…1101011001011101011011001
32011020111120020120001102100111
41210332310001223023223121
5431202440024030340441
64212322232044004321
7162355456256301001
oct14476640153135331
92136446216042314
10444121121340121
11119568789867925
1241989794b306a1
13160a759920b364
147b958112a1001
15365292245a081
hex193ed01acbad9

444121121340121 has 16 divisors (see below), whose sum is σ = 456446361404880. Its totient is φ = 431812929104640.

The previous prime is 444121121340119. The next prime is 444121121340137. The reversal of 444121121340121 is 121043121121444.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 57625770874896 + 386495350465225 = 7591164^2 + 19659485^2 .

It is a cyclic number.

It is not a de Polignac number, because 444121121340121 - 21 = 444121121340119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444121121340101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313430251 + ... + 314844031.

It is an arithmetic number, because the mean of its divisors is an integer number (28527897587805).

Almost surely, 2444121121340121 is an apocalyptic number.

It is an amenable number.

444121121340121 is a deficient number, since it is larger than the sum of its proper divisors (12325240064759).

444121121340121 is a wasteful number, since it uses less digits than its factorization.

444121121340121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419804.

The product of its (nonzero) digits is 6144, while the sum is 31.

Adding to 444121121340121 its reverse (121043121121444), we get a palindrome (565164242461565).

The spelling of 444121121340121 in words is "four hundred forty-four trillion, one hundred twenty-one billion, one hundred twenty-one million, three hundred forty thousand, one hundred twenty-one".

Divisors: 1 37 2309 3677 85433 136049 1413781 8490193 52309897 314137141 3264420329 5198472737 120783552173 192343491269 12003273549733 444121121340121