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214104642122224 = 24717309833629407
BaseRepresentation
bin110000101011101000011111…
…001000110111000111110000
31001002002012111122011121010101
4300223220133020313013300
5211030342301340402344
62035210151552242144
763045356424233620
oct6053503710670760
91032065448147111
10214104642122224
11622472a5866187
122001aab7540354
139260c9a69a339
143ac2a11856880
1519b45469da9d4
hexc2ba1f2371f0

214104642122224 has 80 divisors (see below), whose sum is σ = 501992769835008. Its totient is φ = 86358725139456.

The previous prime is 214104642122191. The next prime is 214104642122249. The reversal of 214104642122224 is 422221246401412.

214104642122224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57176929 + ... + 60806335.

Almost surely, 2214104642122224 is an apocalyptic number.

It is an amenable number.

214104642122224 is an abundant number, since it is smaller than the sum of its proper divisors (287888127712784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214104642122224 is a wasteful number, since it uses less digits than its factorization.

214104642122224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660422 (or 3660416 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

Adding to 214104642122224 its reverse (422221246401412), we get a palindrome (636325888523636).

The spelling of 214104642122224 in words is "two hundred fourteen trillion, one hundred four billion, six hundred forty-two million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 30983 61966 123932 216881 247864 433762 495728 526711 867524 1053422 1735048 2106844 3470096 3629407 3686977 4213688 7258814 7373954 8427376 14517628 14747908 25405849 29035256 29495816 50811698 58070512 58991632 61699919 101623396 123399838 203246792 246799676 406493584 431899433 493599352 863798866 987198704 1727597732 3455195464 6910390928 112449917081 224899834162 449799668324 787149419567 899599336648 1574298839134 1799198673296 1911648590377 3148597678268 3823297180754 6297195356536 7646594361508 12594390713072 13381540132639 15293188723016 26763080265278 30586377446032 53526160530556 107052321061112 214104642122224