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1066114242 = 232311999601
BaseRepresentation
bin111111100010111…
…001110011000010
32202022002012210200
4333202321303002
54140411123432
6253442310030
735263551534
oct7742716302
92668065720
101066114242
114a7880456
12259058316
1313cb4813b
14a183b854
15638e0a7c
hex3f8b9cc2

1066114242 has 48 divisors (see below), whose sum is σ = 2396659200. Its totient is φ = 342144000.

The previous prime is 1066114241. The next prime is 1066114261. The reversal of 1066114242 is 2424116601.

1066114242 is a `hidden beast` number, since 1 + 0 + 6 + 611 + 4 + 2 + 42 = 666.

It is a super-2 number, since 2×10661142422 = 2273199153990469128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066114241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 106242 + ... + 115842.

It is an arithmetic number, because the mean of its divisors is an integer number (49930400).

Almost surely, 21066114242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066114242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198329600).

1066114242 is an abundant number, since it is smaller than the sum of its proper divisors (1330544958).

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

1066114242 is a wasteful number, since it uses less digits than its factorization.

1066114242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9839 (or 9836 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1066114242 is about 32651.4049008615. The cubic root of 1066114242 is about 1021.5694926355.

The spelling of 1066114242 in words is "one billion, sixty-six million, one hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 199 279 398 558 597 1194 1791 3582 6169 9601 12338 18507 19202 28803 37014 55521 57606 86409 111042 172818 297631 595262 892893 1785786 1910599 2678679 3821198 5357358 5731797 11463594 17195391 34390782 59228569 118457138 177685707 355371414 533057121 1066114242