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34244365221 = 3411971013923
BaseRepresentation
bin11111111001000111…
…111000101110100101
310021101112210222220000
4133321013320232211
51030113024141341
623422011331513
72321415205323
oct377107705645
9107345728800
1034244365221
1113583062490
126778450b99
1332c9805501
14192c00cd13
15d5656d8b6
hex7f91f8ba5

34244365221 has 80 divisors (see below), whose sum is σ = 56953689408. Its totient is φ = 20331648000.

The previous prime is 34244365219. The next prime is 34244365231. The reversal of 34244365221 is 12256344243.

34244365221 is a `hidden beast` number, since 3 + 424 + 4 + 3 + 6 + 5 + 221 = 666.

It is not a de Polignac number, because 34244365221 - 21 = 34244365219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34244365231) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8727166 + ... + 8731088.

Almost surely, 234244365221 is an apocalyptic number.

It is an amenable number.

34244365221 is a deficient number, since it is larger than the sum of its proper divisors (22709324187).

34244365221 is a wasteful number, since it uses less digits than its factorization.

34244365221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4135 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 34244365221 in words is "thirty-four billion, two hundred forty-four million, three hundred sixty-five thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 97 99 101 291 297 303 873 891 909 1067 1111 2619 2727 3201 3333 3923 7857 8181 9603 9797 9999 11769 28809 29391 29997 35307 43153 86427 88173 89991 105921 107767 129459 264519 317763 323301 380531 388377 396223 793557 969903 1141593 1165131 1188669 2909709 3424779 3495393 3566007 4185841 4358453 8729127 10274337 10698021 12557523 13075359 30823011 32094063 37672569 38433631 39226077 113017707 115300893 117678231 339053121 345902679 353034693 422769941 1037708037 1268309823 3113124111 3804929469 11414788407 34244365221