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214405120404 = 223210755660727
BaseRepresentation
bin1100011110101110001…
…0101000000110010100
3202111102021001121210100
43013223202220012110
512003100202323104
6242255113454100
721330105311406
oct3075342500624
9674367047710
10214405120404
1182a24112392
1235677a11330
13172ab843167
14a53d2d2b76
15589ce2d139
hex31eb8a8194

214405120404 has 36 divisors (see below), whose sum is σ = 547033634784. Its totient is φ = 70800443472.

The previous prime is 214405120301. The next prime is 214405120439. The reversal of 214405120404 is 404021504412.

214405120404 is a `hidden beast` number, since 2 + 144 + 0 + 512 + 0 + 4 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27826512 + ... + 27834215.

It is an arithmetic number, because the mean of its divisors is an integer number (15195378744).

Almost surely, 2214405120404 is an apocalyptic number.

It is an amenable number.

214405120404 is an abundant number, since it is smaller than the sum of its proper divisors (332628514380).

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

214405120404 is a wasteful number, since it uses less digits than its factorization.

214405120404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55660844 (or 55660839 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 214405120404 its reverse (404021504412), we get a palindrome (618426624816).

The spelling of 214405120404 in words is "two hundred fourteen billion, four hundred five million, one hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 55660727 111321454 166982181 222642908 333964362 500946543 667928724 1001893086 2003786172 5955697789 11911395578 17867093367 23822791156 35734186734 53601280101 71468373468 107202560202 214405120404