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34241213223 = 32719232275479
BaseRepresentation
bin11111111000111011…
…110111001100100111
310021101022212212011100
4133320323313030213
51030111222310343
623421420011143
72321346336660
oct377073671447
9107338785140
1034241213223
11135812aa328
126777390ab3
1332c8c70919
14192b82c367
15d561499d3
hex7f8ef7327

34241213223 has 96 divisors (see below), whose sum is σ = 62372044800. Its totient is φ = 17649327168.

The previous prime is 34241213219. The next prime is 34241213257. The reversal of 34241213223 is 32231214243.

34241213223 is a `hidden beast` number, since 3 + 424 + 1 + 2 + 13 + 223 = 666.

It is not a de Polignac number, because 34241213223 - 22 = 34241213219 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6246798 + ... + 6252276.

It is an arithmetic number, because the mean of its divisors is an integer number (649708800).

Almost surely, 234241213223 is an apocalyptic number.

34241213223 is a deficient number, since it is larger than the sum of its proper divisors (28130831577).

34241213223 is a wasteful number, since it uses less digits than its factorization.

34241213223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5761 (or 5758 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 34241213223 its reverse (32231214243), we get a palindrome (66472427466).

The spelling of 34241213223 in words is "thirty-four billion, two hundred forty-one million, two hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 3 7 9 19 21 23 57 63 69 133 161 171 207 227 399 437 483 681 1197 1311 1449 1589 2043 3059 3933 4313 4767 5221 5479 9177 12939 14301 15663 16437 27531 30191 36547 38353 38817 46989 49311 90573 99199 104101 109641 115059 126017 271719 297597 312303 328923 345177 378051 694393 728707 882119 892791 936909 1134153 1243733 2083179 2186121 2394323 2646357 3731199 6249537 6558363 7182969 7939071 8706131 11193597 16760261 21548907 23630927 26118393 28605859 50280783 70892781 78355179 85817577 150842349 165416489 200241013 212678343 257452731 496249467 543511321 600723039 1488748401 1630533963 1802169117 3804579247 4891601889 11413737741 34241213223