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13402342313442 = 2331135633901217
BaseRepresentation
bin1100001100000111100111…
…0110100100110111100010
31202110020210021112202021000
43003001321312210313202
53224040444113012232
644300541232412430
72552200352005515
oct303017166446742
952406707482230
1013402342313442
1142a79a0923925
1216055693a7116
13762ab2665434
1434496930cd7c
1518395ba0e27c
hexc3079da4de2

13402342313442 has 64 divisors (see below), whose sum is σ = 30099925503360. Its totient is φ = 4420046518272.

The previous prime is 13402342313401. The next prime is 13402342313453. The reversal of 13402342313442 is 24431324320431.

13402342313442 is a `hidden beast` number, since 1 + 3 + 40 + 23 + 423 + 134 + 42 = 666.

13402342313442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13402342313397 and 13402342313406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1484818 + ... + 5386034.

It is an arithmetic number, because the mean of its divisors is an integer number (470311335990).

Almost surely, 213402342313442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13402342313442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15049962751680).

13402342313442 is an abundant number, since it is smaller than the sum of its proper divisors (16697583189918).

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

13402342313442 is a wasteful number, since it uses less digits than its factorization.

13402342313442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901904 (or 3901898 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 13402342313442 its reverse (24431324320431), we get a palindrome (37833666633873).

The spelling of 13402342313442 in words is "thirteen trillion, four hundred two billion, three hundred forty-two million, three hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 563 678 1017 1126 1689 2034 3051 3378 5067 6102 10134 15201 30402 63619 127238 190857 381714 572571 1145142 1717713 3435426 3901217 7802434 11703651 23407302 35110953 70221906 105332859 210665718 440837521 881675042 1322512563 2196385171 2645025126 3967537689 4392770342 6589155513 7935075378 11902613067 13178311026 19767466539 23805226134 39534933078 59302399617 118604799234 248191524323 496383048646 744574572969 1489149145938 2233723718907 4467447437814 6701171156721 13402342313442