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2434442235231 = 316335320117013
BaseRepresentation
bin100011011011010000000…
…100001000110101011111
322121201201110120001110210
4203123100010020311133
5304341214203011411
65102211201503503
7340611514401036
oct43332004106537
98551643501423
102434442235231
118594941a32a6
12333989941b93
1314874a697856
1485b8304b71d
15434d34ccca6
hex236d0108d5f

2434442235231 has 32 divisors (see below), whose sum is σ = 3277184101632. Its totient is φ = 1607406197760.

The previous prime is 2434442235109. The next prime is 2434442235257. The reversal of 2434442235231 is 1325322444342.

It is a happy number.

It is not a de Polignac number, because 2434442235231 - 221 = 2434440138079 is a prime.

It is a super-2 number, since 2×24344422352312 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 2434442235231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434442225231) 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 31 ways as a sum of consecutive naturals, for example, 347129281 + ... + 347136293.

It is an arithmetic number, because the mean of its divisors is an integer number (102412003176).

Almost surely, 22434442235231 is an apocalyptic number.

2434442235231 is a deficient number, since it is larger than the sum of its proper divisors (842741866401).

2434442235231 is a wasteful number, since it uses less digits than its factorization.

2434442235231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9543.

The product of its digits is 552960, while the sum is 39.

Adding to 2434442235231 its reverse (1325322444342), we get a palindrome (3759764679573).

The spelling of 2434442235231 in words is "two trillion, four hundred thirty-four billion, four hundred forty-two million, two hundred thirty-five thousand, two hundred thirty-one".

Divisors: 1 3 163 353 489 1059 2011 6033 7013 21039 57539 172617 327793 709883 983379 1143119 2129649 2475589 3429357 7426767 14103143 42309429 115710929 347132787 403521007 1210563021 2298812309 4978409479 6896436927 14935228437 811480745077 2434442235231