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11141431341024 = 253174766431927
BaseRepresentation
bin1010001000100001000100…
…0011101010111111100000
31110110002222111200012211010
42202020101003222333200
52430020122410403044
635410145232020520
72226641024560455
oct242102103527740
943402874605733
1011141431341024
113606066598816
1212bb34a991740
1362a82b6b8caa
142a7368d1382c
15144c32db1bb9
hexa22110eafe0

11141431341024 has 48 divisors (see below), whose sum is σ = 29262998556288. Its totient is φ = 3711684569472.

The previous prime is 11141431341023. The next prime is 11141431341041. The reversal of 11141431341024 is 42014313414111.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 11141431340982 and 11141431341000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141431341023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33048252 + ... + 33383675.

It is an arithmetic number, because the mean of its divisors is an integer number (609645803256).

Almost surely, 211141431341024 is an apocalyptic number.

It is an amenable number.

11141431341024 is an abundant number, since it is smaller than the sum of its proper divisors (18121567215264).

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

11141431341024 is a wasteful number, since it uses less digits than its factorization.

11141431341024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66433687 (or 66433679 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 11141431341024 its reverse (42014313414111), we get a palindrome (53155744755135).

The spelling of 11141431341024 in words is "eleven trillion, one hundred forty-one billion, four hundred thirty-one million, three hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1747 3494 5241 6988 10482 13976 20964 27952 41928 55904 83856 167712 66431927 132863854 199295781 265727708 398591562 531455416 797183124 1062910832 1594366248 2125821664 3188732496 6377464992 116056576469 232113152938 348169729407 464226305876 696339458814 928452611752 1392678917628 1856905223504 2785357835256 3713810447008 5570715670512 11141431341024