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212441334444 = 22342213296287
BaseRepresentation
bin1100010111011001111…
…1011000001010101100
3202022100101211221220000
43011312133120022230
511440034440200234
6241332203024300
721230331356043
oct3056637301254
9668311757800
10212441334444
118210665a989
123520a20b090
1317057a38331
14a3d458355a
1557d5820899
hex31767d82ac

212441334444 has 60 divisors (see below), whose sum is σ = 555616442304. Its totient is φ = 70781540256.

The previous prime is 212441334437. The next prime is 212441334467. The reversal of 212441334444 is 444433144212.

212441334444 is a `hidden beast` number, since 21 + 244 + 13 + 344 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 212441334399 and 212441334408.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 568869 + ... + 865155.

Almost surely, 2212441334444 is an apocalyptic number.

It is an amenable number.

212441334444 is an abundant number, since it is smaller than the sum of its proper divisors (343175107860).

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

212441334444 is a wasteful number, since it uses less digits than its factorization.

212441334444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298516 (or 298505 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 212441334444 its reverse (444433144212), we get a palindrome (656874478656).

The spelling of 212441334444 in words is "two hundred twelve billion, four hundred forty-one million, three hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2213 4426 6639 8852 13278 19917 26556 39834 59751 79668 119502 179253 239004 296287 358506 592574 717012 888861 1185148 1777722 2666583 3555444 5333166 7999749 10666332 15999498 23999247 31998996 47998494 95996988 655683131 1311366262 1967049393 2622732524 3934098786 5901148179 7868197572 11802296358 17703444537 23604592716 35406889074 53110333611 70813778148 106220667222 212441334444