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214350366141 = 32179133054231
BaseRepresentation
bin1100011110100001000…
…1110000010110111101
3202111021110000211001200
43013220101300112331
512002442143204031
6242245440130113
721325542023112
oct3075021602675
9674243024050
10214350366141
11829a621472a
1235661606939
13172a03b1aa2
14a535d1c909
1558982148e6
hex31e84705bd

214350366141 has 12 divisors (see below), whose sum is σ = 311346902880. Its totient is φ = 142101917640.

The previous prime is 214350366137. The next prime is 214350366179. The reversal of 214350366141 is 141663053412.

214350366141 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 5 + 0 + 36 + 614 + 1 = 666.

214350366141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214350366141 - 22 = 214350366137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214350366096 and 214350366105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214350366121) 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 11 ways as a sum of consecutive naturals, for example, 66525505 + ... + 66528726.

It is an arithmetic number, because the mean of its divisors is an integer number (25945575240).

Almost surely, 2214350366141 is an apocalyptic number.

It is an amenable number.

214350366141 is a deficient number, since it is larger than the sum of its proper divisors (96996536739).

214350366141 is a wasteful number, since it uses less digits than its factorization.

214350366141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133054416 (or 133054413 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 214350366141 in words is "two hundred fourteen billion, three hundred fifty million, three hundred sixty-six thousand, one hundred forty-one".

Divisors: 1 3 9 179 537 1611 133054231 399162693 1197488079 23816707349 71450122047 214350366141