Search a number
-
+
342140111201 = 72294115138891
BaseRepresentation
bin1001111101010010010…
…00111100100101100001
31012201010022222110220102
410332221020330211201
521101200332024301
6421102121552145
733501356650400
oct4765110744541
91181108873812
10342140111201
1112211219a589
1256386045655
13263573a4355
14127b9a3b637
158d76ed2b6b
hex4fa923c961

342140111201 has 48 divisors (see below), whose sum is σ = 424569962880. Its totient is φ = 274407840000.

The previous prime is 342140111197. The next prime is 342140111219. The reversal of 342140111201 is 102111041243.

It is not a de Polignac number, because 342140111201 - 22 = 342140111197 is a prime.

It is a super-3 number, since 3×3421401112013 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (342140111251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8777966 + ... + 8816856.

It is an arithmetic number, because the mean of its divisors is an integer number (8845207560).

Almost surely, 2342140111201 is an apocalyptic number.

It is an amenable number.

342140111201 is a deficient number, since it is larger than the sum of its proper divisors (82429851679).

342140111201 is a wasteful number, since it uses less digits than its factorization.

342140111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39126 (or 39119 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 342140111201 its reverse (102111041243), we get a palindrome (444251152444).

The spelling of 342140111201 in words is "three hundred forty-two billion, one hundred forty million, one hundred eleven thousand, two hundred one".

Divisors: 1 7 29 41 49 151 203 287 1057 1189 1421 2009 4379 6191 7399 8323 30653 38891 43337 58261 179539 214571 272237 303359 1127839 1256773 1594531 1905659 5872541 7894873 8797411 11161717 41107787 46241399 55264111 78132019 170303689 240774181 287754509 323689793 1192125823 1685419267 2265828551 6982451249 8344880761 11797934869 48877158743 342140111201