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13224010440141 = 327121811610369
BaseRepresentation
bin1100000001101111010001…
…1100011101110111001101
31201211012111000122221122200
43000123310130131313031
53213130233133041031
644043005421432113
72533255210050534
oct300336434356715
951735430587580
1013224010440141
1142392a9164a56
121596a9a40b639
1374c0324ba907
1433a08cc9d31b
1517dec09b08e6
hexc06f471ddcd

13224010440141 has 36 divisors (see below), whose sum is σ = 19481222402460. Its totient is φ = 8643811276800.

The previous prime is 13224010440103. The next prime is 13224010440167. The reversal of 13224010440141 is 14104401042231.

13224010440141 is a `hidden beast` number, since 1 + 3 + 2 + 240 + 10 + 4 + 401 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5348831064516 + 7875179375625 = 2312754^2 + 2806275^2 .

It is not a de Polignac number, because 13224010440141 - 26 = 13224010440077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13224010340141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7406605 + ... + 9016973.

It is an arithmetic number, because the mean of its divisors is an integer number (541145066735).

Almost surely, 213224010440141 is an apocalyptic number.

It is an amenable number.

13224010440141 is a deficient number, since it is larger than the sum of its proper divisors (6257211962319).

13224010440141 is a wasteful number, since it uses less digits than its factorization.

13224010440141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610698 (or 1610624 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13224010440141 its reverse (14104401042231), we get a palindrome (27328411482372).

The spelling of 13224010440141 in words is "thirteen trillion, two hundred twenty-four billion, ten million, four hundred forty thousand, one hundred forty-one".

Divisors: 1 3 9 71 181 213 543 639 1629 5041 12851 15123 38553 45369 115659 912421 1610369 2737263 4831107 8211789 14493321 114336199 291476789 343008597 874430367 1029025791 2623291101 8117870129 20694852019 24353610387 62084556057 73060831161 186253668171 1469334493349 4408003480047 13224010440141