Search a number
-
+
134242121242431 = 32611484691646951
BaseRepresentation
bin11110100001011110101101…
…111100110101011100111111
3122121022102101020112111021100
4132201132231330311130333
5120043410331014224211
61153301551254304143
740163446623261636
oct3641365574653477
9577272336474240
10134242121242431
1139856844835954
1213081032958053
1359b9c93069c77
1425214d37a651d
15107be2b821156
hex7a17adf3573f

134242121242431 has 24 divisors (see below), whose sum is σ = 197085508532640. Its totient is φ = 88026974136000.

The previous prime is 134242121242363. The next prime is 134242121242477.

134242121242431 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 4 + 2 + 1 + 212 + 4 + 2 + 431 = 666.

134242121242431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134242121242431 - 213 = 134242121234239 is a prime.

It is a super-2 number, since 2×1342421212424312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134242121242331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80686006 + ... + 82332956.

It is an arithmetic number, because the mean of its divisors is an integer number (8211896188860).

Almost surely, 2134242121242431 is an apocalyptic number.

134242121242431 is a deficient number, since it is larger than the sum of its proper divisors (62843387290209).

134242121242431 is a wasteful number, since it uses less digits than its factorization.

134242121242431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795487 (or 1795484 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 134242121242431 in words is "one hundred thirty-four trillion, two hundred forty-two billion, one hundred twenty-one million, two hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 61 183 549 148469 445407 1336221 1646951 4940853 9056609 14822559 27169827 81509481 100464011 301392033 904176099 244521168019 733563504057 2200690512171 14915791249159 44747373747477 134242121242431