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214221311444 = 227127720812879
BaseRepresentation
bin1100011110000010010…
…1011100110111010100
3202110221110012011022002
43013200211130313110
512002211123431234
6242224550054432
721322414050260
oct3074045346724
9673843164262
10214221311444
118293a388a58
123562634a418
131727c73766a
14a522b270a0
15588bc2127e
hex31e095cdd4

214221311444 has 48 divisors (see below), whose sum is σ = 429133178880. Its totient is φ = 91661306880.

The previous prime is 214221311411. The next prime is 214221311453. The reversal of 214221311444 is 444113122412.

214221311444 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 74406797 + ... + 74409675.

It is an arithmetic number, because the mean of its divisors is an integer number (8940274560).

Almost surely, 2214221311444 is an apocalyptic number.

It is an amenable number.

214221311444 is an abundant number, since it is smaller than the sum of its proper divisors (214911867436).

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

214221311444 is a wasteful number, since it uses less digits than its factorization.

214221311444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 6246 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

Adding to 214221311444 its reverse (444113122412), we get a palindrome (658334433856).

The spelling of 214221311444 in words is "two hundred fourteen billion, two hundred twenty-one million, three hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 1277 2081 2554 2879 4162 5108 5758 8324 8939 11516 14567 17878 20153 29134 35756 40306 58268 80612 2657437 3676483 5314874 5991199 7352966 10629748 11982398 14705932 18602059 23964796 25735381 37204118 41938393 51470762 74408236 83876786 102941524 167753572 7650761123 15301522246 30603044492 53555327861 107110655722 214221311444