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11141293738293 = 3231210112754057
BaseRepresentation
bin1010001000100000100011…
…0110110000100100110101
31110110002121220202021100200
42202020020312300210311
52430014332144111133
635410123434431113
72226634434143355
oct242101066604465
943402556667320
1011141293738293
113605aa5953854
1212bb310892499
1362a80903ab64
142a7354934b65
15144c25c80913
hexa2208db0935

11141293738293 has 36 divisors (see below), whose sum is σ = 16793497741644. Its totient is φ = 7116763248000.

The previous prime is 11141293738291. The next prime is 11141293738303. The reversal of 11141293738293 is 39283739214111.

11141293738293 is a `hidden beast` number, since 1 + 1 + 141 + 2 + 9 + 37 + 382 + 93 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8394474771684 + 2746818966609 = 2897322^2 + 1657353^2 .

It is not a de Polignac number, because 11141293738293 - 21 = 11141293738291 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141293738291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5503480 + ... + 7250577.

It is an arithmetic number, because the mean of its divisors is an integer number (466486048379).

Almost surely, 211141293738293 is an apocalyptic number.

It is an amenable number.

11141293738293 is a deficient number, since it is larger than the sum of its proper divisors (5652204003351).

11141293738293 is a wasteful number, since it uses less digits than its factorization.

11141293738293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12754226 (or 12754192 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 11141293738293 in words is "eleven trillion, one hundred forty-one billion, two hundred ninety-three million, seven hundred thirty-eight thousand, two hundred ninety-three".

Divisors: 1 3 9 31 93 101 279 303 909 961 2883 3131 8649 9393 28179 97061 291183 873549 12754057 38262171 114786513 395375767 1186127301 1288159757 3558381903 3864479271 11593437813 12256648777 36769946331 39932952467 110309838993 119798857401 359396572203 1237921526477 3713764579431 11141293738293