Search a number
-
+
2334434322141 = 327972711120047
BaseRepresentation
bin100001111110000111001…
…000001110011011011101
322021011120202000200111200
4201332013020032123131
5301221410141302031
64544231353110113
7330441313224225
oct41760710163335
98234522020450
102334434322141
11820034352a59
123185193b8339
1313c1a034740c
1480db6d2b085
1540acd72d8e6
hex21f8720e6dd

2334434322141 has 24 divisors (see below), whose sum is σ = 3377465005824. Its totient is φ = 1553750576160.

The previous prime is 2334434322139. The next prime is 2334434322151. The reversal of 2334434322141 is 1412234344332.

2334434322141 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 4 + 3 + 432 + 214 + 1 = 666.

It is not a de Polignac number, because 2334434322141 - 21 = 2334434322139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2334434322096 and 2334434322105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334434322151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19385980 + ... + 19506026.

It is an arithmetic number, because the mean of its divisors is an integer number (140727708576).

Almost surely, 22334434322141 is an apocalyptic number.

It is an amenable number.

2334434322141 is a deficient number, since it is larger than the sum of its proper divisors (1043030683683).

2334434322141 is a wasteful number, since it uses less digits than its factorization.

2334434322141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123561 (or 123558 counting only the distinct ones).

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

Adding to 2334434322141 its reverse (1412234344332), we get a palindrome (3746668666473).

The spelling of 2334434322141 in words is "two trillion, three hundred thirty-four billion, four hundred thirty-four million, three hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 3 9 797 2391 2711 7173 8133 24399 120047 360141 1080423 2160667 6482001 19446003 95677459 287032377 325447417 861097131 976342251 2929026753 259381591349 778144774047 2334434322141