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11142142242 = 23721118011913
BaseRepresentation
bin10100110000001111…
…11001100100100010
31001202111220110201220
422120013321210202
5140304342022432
65041342435510
7543053434500
oct123007714442
931674813656
1011142142242
1147a84a3420
1221ab592b96
131087504a9a
14779b11670
154532ba72c
hex2981f9922

11142142242 has 96 divisors (see below), whose sum is σ = 28309621824. Its totient is φ = 2890944000.

The previous prime is 11142142217. The next prime is 11142142273. The reversal of 11142142242 is 24224124111.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5823478 + ... + 5825390.

It is an arithmetic number, because the mean of its divisors is an integer number (294891894).

Almost surely, 211142142242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11142142242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14154810912).

11142142242 is an abundant number, since it is smaller than the sum of its proper divisors (17167479582).

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

11142142242 is a wasteful number, since it uses less digits than its factorization.

11142142242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3737 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

Adding to 11142142242 its reverse (24224124111), we get a palindrome (35366266353).

The spelling of 11142142242 in words is "eleven billion, one hundred forty-two million, one hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 1801 1913 3234 3602 3826 5403 5739 10806 11478 12607 13391 19811 21043 25214 26782 37821 39622 40173 42086 59433 63129 75642 80346 88249 93737 118866 126258 138677 147301 176498 187474 264747 277354 281211 294602 416031 441903 529494 562422 832062 883806 970739 1031107 1941478 2062214 2912217 3093321 3445313 5824434 6186642 6890626 10335939 20671878 24117191 37898443 48234382 72351573 75796886 113695329 144703146 168820337 227390658 265289101 337640674 506461011 530578202 795867303 1012922022 1591734606 1857023707 3714047414 5571071121 11142142242