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13232140135140 = 22351712972686407
BaseRepresentation
bin1100000010001101100100…
…0000110010101011100100
31201211222110121010020122110
43000203121000302223210
53213243410333311030
644050432233201020
72533663524241323
oct300433100625344
951758417106573
1013232140135140
1142417a0166153
121598588b60170
1374ca29870724
1433a6208880ba
1517e2e95791b0
hexc08d9032ae4

13232140135140 has 48 divisors (see below), whose sum is σ = 39229403697792. Its totient is φ = 3321007719936.

The previous prime is 13232140135139. The next prime is 13232140135141. The reversal of 13232140135140 is 4153104123231.

It is an interprime number because it is at equal distance from previous prime (13232140135139) and next prime (13232140135141).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13232140135098 and 13232140135107.

It is not an unprimeable number, because it can be changed into a prime (13232140135141) by changing a digit.

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, 6486342184 + ... + 6486344223.

It is an arithmetic number, because the mean of its divisors is an integer number (817279243704).

Almost surely, 213232140135140 is an apocalyptic number.

13232140135140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13232140135140 is an abundant number, since it is smaller than the sum of its proper divisors (25997263562652).

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

13232140135140 is a wasteful number, since it uses less digits than its factorization.

13232140135140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12972686436 (or 12972686434 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 13232140135140 its reverse (4153104123231), we get a palindrome (17385244258371).

The spelling of 13232140135140 in words is "thirteen trillion, two hundred thirty-two billion, one hundred forty million, one hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 12972686407 25945372814 38918059221 51890745628 64863432035 77836118442 129726864070 155672236884 194590296105 220535668919 259453728140 389180592210 441071337838 661607006757 778361184420 882142675676 1102678344595 1323214013514 2205356689190 2646428027028 3308035033785 4410713378380 6616070067570 13232140135140