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2434332331013 = 112341435457667
BaseRepresentation
bin100011011011001001100…
…000111000110000000101
322121201102210202100020012
4203123021200320300011
5304341003034043023
65102152234120005
7340606011255422
oct43331140706005
98551383670205
102434332331013
11859438157670
12333958b80005
13148730996c7b
1485b725dcd49
15434c8a1d978
hex236c9838c05

2434332331013 has 32 divisors (see below), whose sum is σ = 2904701893632. Its totient is φ = 2017153353600.

The previous prime is 2434332330977. The next prime is 2434332331027. The reversal of 2434332331013 is 3101332334342.

It is not a de Polignac number, because 2434332331013 - 26 = 2434332330949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434332331513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2282795 + ... + 3174872.

It is an arithmetic number, because the mean of its divisors is an integer number (90771934176).

Almost surely, 22434332331013 is an apocalyptic number.

2434332331013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2434332331013 is a deficient number, since it is larger than the sum of its proper divisors (470369562619).

2434332331013 is a wasteful number, since it uses less digits than its factorization.

2434332331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457785.

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 2434332331013 its reverse (3101332334342), we get a palindrome (5535664665355).

The spelling of 2434332331013 in words is "two trillion, four hundred thirty-four billion, three hundred thirty-two million, three hundred thirty-one thousand, thirteen".

Divisors: 1 11 23 41 43 253 451 473 943 989 1763 10373 10879 19393 40549 446039 5457667 60034337 125526341 223764347 234679681 1380789751 2461407817 2581476491 5146579981 5397632663 9621866921 56612379791 59373959293 105840536131 221302939183 2434332331013