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11022239958444 = 223411131311816007
BaseRepresentation
bin1010000001100101000010…
…1100101000010110101100
31110000201022212001121220000
42200121100230220112230
52421042021412132234
635235314103024300
72215221244542321
oct240312054502654
943021285047800
1011022239958444
11356a56211a960
1212a0225a3b090
1361c514bb0c90
142a169d13ab48
15141aa8dd6899
hexa0650b285ac

11022239958444 has 240 divisors, whose sum is σ = 34110209016576. Its totient is φ = 3059606908800.

The previous prime is 11022239958427. The next prime is 11022239958451. The reversal of 11022239958444 is 44485993222011.

11022239958444 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 22 + 39 + 9 + 584 + 4 + 4 = 666.

It is a super-2 number, since 2×110222399584442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 5161489 + ... + 6977495.

Almost surely, 211022239958444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022239958444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055104508288).

11022239958444 is an abundant number, since it is smaller than the sum of its proper divisors (23087969058132).

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

11022239958444 is a wasteful number, since it uses less digits than its factorization.

11022239958444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816178 (or 1816167 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 11022239958444 in words is "eleven trillion, twenty-two billion, two hundred thirty-nine million, nine hundred fifty-eight thousand, four hundred forty-four".