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444044341221 = 31327129342101
BaseRepresentation
bin1100111011000110001…
…10101110111111100101
31120110011012202201122220
412131203012232333211
524233400322404341
6535554031142553
744036555424045
oct6354306567745
91513135681586
10444044341221
111613554aa8a8
1272085674a59
1332b47568b00
14176c5947725
15b83d4b3a66
hex67631aefe5

444044341221 has 48 divisors (see below), whose sum is σ = 652369479552. Its totient is φ = 268483488000.

The previous prime is 444044341189. The next prime is 444044341259. The reversal of 444044341221 is 122143440444.

It is not a de Polignac number, because 444044341221 - 25 = 444044341189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444044341121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10526071 + ... + 10568171.

It is an arithmetic number, because the mean of its divisors is an integer number (13591030824).

Almost surely, 2444044341221 is an apocalyptic number.

It is an amenable number.

444044341221 is a deficient number, since it is larger than the sum of its proper divisors (208325138331).

444044341221 is a wasteful number, since it uses less digits than its factorization.

444044341221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42494 (or 42481 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 444044341221 its reverse (122143440444), we get a palindrome (566187781665).

The spelling of 444044341221 in words is "four hundred forty-four billion, forty-four million, three hundred forty-one thousand, two hundred twenty-one".

Divisors: 1 3 13 39 71 169 213 293 507 879 923 2769 3809 11427 11999 20803 35997 42101 49517 62409 126303 148551 270439 547313 811317 1641939 2989171 3515707 7115069 8967513 10547121 12335593 21345207 37006779 38859223 116577669 160362709 481088127 505169899 875827103 1515509697 2084715217 2627481309 6254145651 11385752339 34157257017 148014780407 444044341221