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214204402412 = 227111353497603
BaseRepresentation
bin1100011101111110010…
…0111100101011101100
3202110220021101002110122
43013133210330223230
512002142311334122
6242223143424112
721322120243640
oct3073744745354
9673807332418
10214204402412
1182930889a50
1235620755038
1317279097110
14a5207a4c20
15588a4d1142
hex31df93caec

214204402412 has 48 divisors (see below), whose sum is σ = 503305458432. Its totient is φ = 77036546880.

The previous prime is 214204402409. The next prime is 214204402427.

It is a happy number.

214204402412 is nontrivially palindromic in base 10.

214204402412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 26744798 + ... + 26752805.

It is an arithmetic number, because the mean of its divisors is an integer number (10485530384).

Almost surely, 2214204402412 is an apocalyptic number.

214204402412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214204402412 is an abundant number, since it is smaller than the sum of its proper divisors (289101056020).

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

214204402412 is a wasteful number, since it uses less digits than its factorization.

214204402412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53497638 (or 53497636 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 214204 and 402412, that added together give a palindrome (616616).

The spelling of 214204402412 in words is "two hundred fourteen billion, two hundred four million, four hundred two thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 53497603 106995206 213990412 374483221 588473633 695468839 748966442 1176947266 1390937678 1497932884 2353894532 2781875356 4119315431 4868281873 7650157229 8238630862 9736563746 15300314458 16477261724 19473127492 30600628916 53551100603 107102201206 214204402412