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13153144520340 = 22325116643002283
BaseRepresentation
bin1011111101100111010010…
…0000011011111010010100
31201120102120020221020010100
42333121310200123322110
53211000114444122330
643550245435054100
72525166116503416
oct277316440337224
951512506836110
1013153144520340
1142112431a8590
1215852015a1330
1374544a84caa6
1433688927c9b6
1517c224356060
hexbf67481be94

13153144520340 has 72 divisors (see below), whose sum is σ = 43524950964768. Its totient is φ = 3188641095360.

The previous prime is 13153144520297. The next prime is 13153144520377. The reversal of 13153144520340 is 4302544135131.

13153144520340 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 3 + 1 + 445 + 203 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13153144520295 and 13153144520304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3321499162 + ... + 3321503121.

It is an arithmetic number, because the mean of its divisors is an integer number (604513207844).

Almost surely, 213153144520340 is an apocalyptic number.

13153144520340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13153144520340 is an abundant number, since it is smaller than the sum of its proper divisors (30371806444428).

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

13153144520340 is a wasteful number, since it uses less digits than its factorization.

13153144520340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6643002309 (or 6643002304 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13153144520340 its reverse (4302544135131), we get a palindrome (17455688655471).

The spelling of 13153144520340 in words is "thirteen trillion, one hundred fifty-three billion, one hundred forty-four million, five hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6643002283 13286004566 19929006849 26572009132 33215011415 39858013698 59787020547 66430022830 73073025113 79716027396 99645034245 119574041094 132860045660 146146050226 199290068490 219219075339 239148082188 292292100452 298935102735 365365125565 398580136980 438438150678 597870205470 657657226017 730730251130 876876301356 1096095376695 1195740410940 1315314452034 1461460502260 2192190753390 2630628904068 3288286130085 4384381506780 6576572260170 13153144520340