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11242143443034 = 2327139941682141
BaseRepresentation
bin1010001110011000001111…
…1101110110100001011010
31110210201221022021002101100
42203212003331312201122
52433142402210134114
635524322553532230
72240134536403230
oct243460375664132
943721838232340
1011242143443034
113644847989679
121316977114076
1363718b8b436a
142ac1a077c950
151476798ae909
hexa3983f7685a

11242143443034 has 96 divisors (see below), whose sum is σ = 28067796731520. Its totient is φ = 3185539228800.

The previous prime is 11242143442979. The next prime is 11242143443071. The reversal of 11242143443034 is 43034434124211.

11242143443034 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 1 + 4 + 344 + 303 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11242143443034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16139604 + ... + 16821744.

It is an arithmetic number, because the mean of its divisors is an integer number (292372882620).

Almost surely, 211242143443034 is an apocalyptic number.

11242143443034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11242143443034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14033898365760).

11242143443034 is an abundant number, since it is smaller than the sum of its proper divisors (16825653288486).

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

11242143443034 is a wasteful number, since it uses less digits than its factorization.

11242143443034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683236 (or 683233 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 11242143443034 its reverse (43034434124211), we get a palindrome (54276577567245).

The spelling of 11242143443034 in words is "eleven trillion, two hundred forty-two billion, one hundred forty-three million, four hundred forty-three thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 139 278 417 834 941 973 1251 1882 1946 2502 2823 2919 5646 5838 6587 8469 8757 13174 16938 17514 19761 39522 59283 118566 130799 261598 392397 682141 784794 915593 1177191 1364282 1831186 2046423 2354382 2746779 4092846 4774987 5493558 6139269 8240337 9549974 12278538 14324961 16480674 28649922 42974883 85949766 94817599 189635198 284452797 568905594 641894681 663723193 853358391 1283789362 1327446386 1706716782 1925684043 1991169579 3851368086 3982339158 4493262767 5777052129 5973508737 8986525534 11554104258 11947017474 13479788301 26959576602 40439364903 80878729806 89223360659 178446721318 267670081977 535340163954 624563524613 803010245931 1249127049226 1606020491862 1873690573839 3747381147678 5621071721517 11242143443034