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611142112 = 257217101227
BaseRepresentation
bin100100011011010…
…100100111100000
31120120222020101001
4210123110213200
52222423021422
6140350521344
721100423300
oct4433244740
91516866331
10611142112
11293a79129
12150806254
13997ca269
145b247600
15389be227
hex246d49e0

611142112 has 144 divisors (see below), whose sum is σ = 1503221328. Its totient is φ = 242995200.

The previous prime is 611142109. The next prime is 611142121. The reversal of 611142112 is 211241116.

It is a self number, because there is not a number n which added to its sum of digits gives 611142112.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2692143 + ... + 2692369.

It is an arithmetic number, because the mean of its divisors is an integer number (10439037).

Almost surely, 2611142112 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 611142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751610664).

611142112 is an abundant number, since it is smaller than the sum of its proper divisors (892079216).

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

611142112 is a wasteful number, since it uses less digits than its factorization.

611142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 354 counting only the distinct ones).

The product of its digits is 96, while the sum is 19.

The square root of 611142112 is about 24721.2886395511. The cubic root of 611142112 is about 848.6215776222.

Adding to 611142112 its reverse (211241116), we get a palindrome (822383228).

The spelling of 611142112 in words is "six hundred eleven million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 101 112 119 136 196 202 224 227 238 272 392 404 454 476 544 707 784 808 833 908 952 1414 1568 1589 1616 1666 1717 1816 1904 2828 3178 3232 3332 3434 3632 3808 3859 4949 5656 6356 6664 6868 7264 7718 9898 11123 11312 12019 12712 13328 13736 15436 19796 22246 22624 22927 24038 25424 26656 27013 27472 30872 39592 44492 45854 48076 50848 54026 54944 61744 79184 84133 88984 91708 96152 108052 123488 158368 160489 168266 177968 183416 189091 192304 216104 320978 336532 355936 366832 378182 384608 389759 432208 641956 673064 733664 756364 779518 864416 1123423 1283912 1346128 1512728 1559036 2246846 2567824 2692256 2728313 3025456 3118072 4493692 5135648 5456626 6050912 6236144 8987384 10913252 12472288 17974768 19098191 21826504 35949536 38196382 43653008 76392764 87306016 152785528 305571056 611142112