Search a number
-
+
13602306342357 = 3314925311335889
BaseRepresentation
bin1100010111110000100010…
…1000110011110111010101
31210011100221010010220201000
43011330020220303313111
53240330010410423412
644532451355453513
72602506555134535
oct305741050636725
953140833126630
1013602306342357
114374784356457
121638274a57299
137788cc39b835
143504d87094c5
15188c61c2a4dc
hexc5f08a33dd5

13602306342357 has 32 divisors (see below), whose sum is σ = 20294840880000. Its totient is φ = 9003778248960.

The previous prime is 13602306342341. The next prime is 13602306342379. The reversal of 13602306342357 is 75324360320631.

13602306342357 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 2 + 3 + 0 + 634 + 2 + 3 + 5 + 7 = 666.

It is not a de Polignac number, because 13602306342357 - 24 = 13602306342341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13602306342857) 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, 9514269 + ... + 10850157.

It is an arithmetic number, because the mean of its divisors is an integer number (634213777500).

Almost surely, 213602306342357 is an apocalyptic number.

It is an amenable number.

13602306342357 is a deficient number, since it is larger than the sum of its proper divisors (6692534537643).

13602306342357 is a wasteful number, since it uses less digits than its factorization.

13602306342357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338578 (or 1338572 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

Adding to 13602306342357 its reverse (75324360320631), we get a palindrome (88926666662988).

The spelling of 13602306342357 in words is "thirteen trillion, six hundred two billion, three hundred six million, three hundred forty-two thousand, three hundred fifty-seven".

Divisors: 1 3 9 27 149 447 1341 2531 4023 7593 22779 68337 377119 1131357 1335889 3394071 4007667 10182213 12023001 36069003 199047461 597142383 1791427149 3381135059 5374281447 10143405177 30430215531 91290646593 503789123791 1511367371373 4534102114119 13602306342357