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13341201144 = 2331675995557
BaseRepresentation
bin11000110110011001…
…01001001011111000
31021102202211020102220
430123030221023320
5204310321414034
610043500124040
7651415224105
oct143314511370
937382736386
1013341201144
11572683a977
122703b36620
131347c96c7b
14907bc5aac
1553139d749
hex31b3292f8

13341201144 has 64 divisors (see below), whose sum is σ = 33614784000. Its totient is φ = 4412264064.

The previous prime is 13341201119. The next prime is 13341201179. The reversal of 13341201144 is 44110214331.

13341201144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2398014 + ... + 2403570.

It is an arithmetic number, because the mean of its divisors is an integer number (525231000).

Almost surely, 213341201144 is an apocalyptic number.

It is an amenable number.

13341201144 is an abundant number, since it is smaller than the sum of its proper divisors (20273582856).

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

13341201144 is a wasteful number, since it uses less digits than its factorization.

13341201144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13341201144 its reverse (44110214331), we get a palindrome (57451415475).

The spelling of 13341201144 in words is "thirteen billion, three hundred forty-one million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 167 334 501 599 668 1002 1198 1336 1797 2004 2396 3594 4008 4792 5557 7188 11114 14376 16671 22228 33342 44456 66684 100033 133368 200066 300099 400132 600198 800264 928019 1200396 1856038 2400792 2784057 3328643 3712076 5568114 6657286 7424152 9985929 11136228 13314572 19971858 22272456 26629144 39943716 79887432 555883381 1111766762 1667650143 2223533524 3335300286 4447067048 6670600572 13341201144