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214211342412 = 22326926385909
BaseRepresentation
bin1100011101111111111…
…1011011000001001100
3202110220202102200100200
43013133333123001030
512002201100424122
6242223552253500
721322233240114
oct3073777330114
9673822380320
10214211342412
118293479a091
1235622b41290
131727a656c22
14a521690044
15588ae025ac
hex31dffdb04c

214211342412 has 36 divisors (see below), whose sum is σ = 541492791840. Its totient is φ = 71401918752.

The previous prime is 214211342353. The next prime is 214211342453. The reversal of 214211342412 is 214243112412.

214211342412 is a `hidden beast` number, since 2 + 1 + 4 + 211 + 34 + 2 + 412 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2142113424122 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2450514 + ... + 2536422.

It is an arithmetic number, because the mean of its divisors is an integer number (15041466440).

Almost surely, 2214211342412 is an apocalyptic number.

It is an amenable number.

214211342412 is an abundant number, since it is smaller than the sum of its proper divisors (327281449428).

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

214211342412 is a wasteful number, since it uses less digits than its factorization.

214211342412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155182 (or 155177 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 214211342412 its reverse (214243112412), we get a palindrome (428454454824).

The spelling of 214211342412 in words is "two hundred fourteen billion, two hundred eleven million, three hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 69263 85909 138526 171818 207789 257727 277052 343636 415578 515454 623367 773181 831156 1030908 1246734 1546362 2493468 3092724 5950315067 11900630134 17850945201 23801260268 35701890402 53552835603 71403780804 107105671206 214211342412