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34241213205 = 3251974438719
BaseRepresentation
bin11111111000111011…
…110111001100010101
310021101022212212010200
4133320323313030111
51030111222310310
623421420011113
72321346336633
oct377073671425
9107338785120
1034241213205
11135812aa311
126777390a99
1332c8c70904
14192b82c353
15d561499c0
hex7f8ef7315

34241213205 has 48 divisors (see below), whose sum is σ = 59794225920. Its totient is φ = 18126186624.

The previous prime is 34241213203. The next prime is 34241213207. The reversal of 34241213205 is 50231214243.

34241213205 is a `hidden beast` number, since 3 + 4 + 241 + 213 + 205 = 666.

It is an interprime number because it is at equal distance from previous prime (34241213203) and next prime (34241213207).

It is not a de Polignac number, because 34241213205 - 21 = 34241213203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34241213203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3922836 + ... + 3931554.

It is an arithmetic number, because the mean of its divisors is an integer number (1245713040).

Almost surely, 234241213205 is an apocalyptic number.

It is an amenable number.

34241213205 is a deficient number, since it is larger than the sum of its proper divisors (25553012715).

34241213205 is a wasteful number, since it uses less digits than its factorization.

34241213205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9370 (or 9367 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34241213205 its reverse (50231214243), we get a palindrome (84472427448).

The spelling of 34241213205 in words is "thirty-four billion, two hundred forty-one million, two hundred thirteen thousand, two hundred five".

Divisors: 1 3 5 9 15 45 197 443 591 985 1329 1773 2215 2955 3987 6645 8719 8865 19935 26157 43595 78471 87271 130785 261813 392355 436355 785439 1309065 1717643 3862517 3927195 5152929 8588215 11587551 15458787 19312585 25764645 34762653 57937755 77293935 173813265 760915849 2282747547 3804579245 6848242641 11413737735 34241213205