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11444201431411 = 717933139476991
BaseRepresentation
bin1010011010001000111110…
…0011111010000101110011
31111112001111002000102012111
42212202033203322011303
53000000211031301121
640201221001510151
72260546660100320
oct246421743720563
944461432012174
1011444201431411
1137125053a3a11
121349b67aa2357
136502503a2028
142b7c8bcd1b47
1514ca5384d2e1
hexa688f8fa173

11444201431411 has 32 divisors (see below), whose sum is σ = 13197119201280. Its totient is φ = 9721190397600.

The previous prime is 11444201431361. The next prime is 11444201431427. The reversal of 11444201431411 is 11413410244411.

It is a cyclic number.

It is not a de Polignac number, because 11444201431411 - 29 = 11444201430899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11444201401411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1636987126 + ... + 1636994116.

It is an arithmetic number, because the mean of its divisors is an integer number (412409975040).

Almost surely, 211444201431411 is an apocalyptic number.

11444201431411 is a deficient number, since it is larger than the sum of its proper divisors (1752917769869).

11444201431411 is a wasteful number, since it uses less digits than its factorization.

11444201431411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11455.

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

Adding to 11444201431411 its reverse (11413410244411), we get a palindrome (22857611675822).

The spelling of 11444201431411 in words is "eleven trillion, four hundred forty-four billion, two hundred one million, four hundred thirty-one thousand, four hundred eleven".

Divisors: 1 7 179 331 1253 2317 3947 6991 27629 48937 59249 414743 706513 1251389 1306457 2314021 4945591 8759723 9145199 16198147 27593477 193154339 233855803 414209759 1636990621 2899468313 4939232383 9133440887 34574626681 63934086209 1634885918773 11444201431411