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13144302140031 = 3243106331951651
BaseRepresentation
bin1011111101000110010101…
…1101011011101001111111
31201112120202000102202200100
42333101211131123221333
53210324012321440111
643542224204132143
72524434026506116
oct277214535335177
951476660382610
1013144302140031
114208515983367
121583554237053
1374466b9389aa
1433628ab76c7d
1517bda7e11756
hexbf46575ba7f

13144302140031 has 24 divisors (see below), whose sum is σ = 19446031020416. Its totient is φ = 8551028379600.

The previous prime is 13144302140023. The next prime is 13144302140033. The reversal of 13144302140031 is 13004120344131.

13144302140031 is a `hidden beast` number, since 1 + 3 + 1 + 443 + 0 + 214 + 0 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 13144302140031 - 23 = 13144302140023 is a prime.

It is a super-2 number, since 2×131443021400312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13144302139977 and 13144302140004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144302140033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15564445 + ... + 16387206.

Almost surely, 213144302140031 is an apocalyptic number.

13144302140031 is a deficient number, since it is larger than the sum of its proper divisors (6301728880385).

13144302140031 is a wasteful number, since it uses less digits than its factorization.

13144302140031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31952763 (or 31952760 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13144302140031 its reverse (13004120344131), we get a palindrome (26148422484162).

The spelling of 13144302140031 in words is "thirteen trillion, one hundred forty-four billion, three hundred two million, one hundred forty thousand, thirty-one".

Divisors: 1 3 9 43 129 387 1063 3189 9567 45709 137127 411381 31951651 95854953 287564859 1373920993 4121762979 12365288937 33964605013 101893815039 305681445117 1460478015559 4381434046677 13144302140031