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212356304430444 = 223231190283426909
BaseRepresentation
bin110000010010001100001110…
…000101110110010101101100
31000211220001201222100121110200
4300102030032011312111230
5210313221202413233234
62031351050044033500
762505144121115136
oct6022141605662554
91024801658317420
10212356304430444
1161732891808399
121b9980a8832890
1391651627053a5
143a6215848c056
151983d1c732d99
hexc1230e17656c

212356304430444 has 36 divisors (see below), whose sum is σ = 554105339161920. Its totient is φ = 68502033686880.

The previous prime is 212356304430427. The next prime is 212356304430451. The reversal of 212356304430444 is 444034403653212.

212356304430444 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 5 + 630 + 4 + 4 + 3 + 0 + 4 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212356304430444.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95141712339 + ... + 95141714570.

It is an arithmetic number, because the mean of its divisors is an integer number (15391814976720).

Almost surely, 2212356304430444 is an apocalyptic number.

It is an amenable number.

212356304430444 is an abundant number, since it is smaller than the sum of its proper divisors (341749034731476).

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

212356304430444 is a wasteful number, since it uses less digits than its factorization.

212356304430444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190283426950 (or 190283426945 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 45.

The spelling of 212356304430444 in words is "two hundred twelve trillion, three hundred fifty-six billion, three hundred four million, four hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 190283426909 380566853818 570850280727 761133707636 1141700561454 1712550842181 2283401122908 3425101684362 5898786234179 6850203368724 11797572468358 17696358702537 23595144936716 35392717405074 53089076107611 70785434810148 106178152215222 212356304430444