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11442340206 = 2331137214071
BaseRepresentation
bin10101010100000010…
…00100000101101110
31002112102210002221000
422222001010011232
5141413214341311
65131225021130
7553360200303
oct125201040556
932472702830
1011442340206
1149419a2610
1222740247a6
131104771a0b
147a79370aa
1546e818056
hex2aa04416e

11442340206 has 96 divisors (see below), whose sum is σ = 28510997760. Its totient is φ = 3373423200.

The previous prime is 11442340201. The next prime is 11442340207. The reversal of 11442340206 is 60204324411.

It is a happy number.

11442340206 is a `hidden beast` number, since 11 + 442 + 3 + 4 + 0 + 206 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11442340206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442340201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 806151 + ... + 820221.

It is an arithmetic number, because the mean of its divisors is an integer number (296989560).

Almost surely, 211442340206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11442340206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14255498880).

11442340206 is an abundant number, since it is smaller than the sum of its proper divisors (17068657554).

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

11442340206 is a wasteful number, since it uses less digits than its factorization.

11442340206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14167 (or 14124 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11442340206 its reverse (60204324411), we get a palindrome (71646664617).

The spelling of 11442340206 in words is "eleven billion, four hundred forty-two million, three hundred forty thousand, two hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 198 222 297 333 407 594 666 814 999 1221 1369 1998 2442 2738 3663 4107 7326 8214 10989 12321 14071 15059 21978 24642 28142 30118 36963 42213 45177 73926 84426 90354 126639 135531 154781 253278 271062 309562 379917 406593 464343 520627 759834 813186 928686 1041254 1393029 1561881 2786058 3123762 4179087 4685643 5726897 8358174 9371286 11453794 14056929 17180691 19263199 28113858 34361382 38526398 51542073 57789597 103084146 115579194 154626219 173368791 211895189 309252438 346737582 423790378 520106373 635685567 1040212746 1271371134 1907056701 3814113402 5721170103 11442340206