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14211121224042 = 23229672111925753
BaseRepresentation
bin1100111011001100100011…
…0101010001100101101010
31212022120101110202100121200
43032303020311101211222
53330313334013132132
650120255435345030
72664501555220221
oct316631065214552
955276343670550
1014211121224042
1145899a24a2036
1217162638b2176
137c1145332862
14371b71577cb8
151999e58a9d7c
hexcecc8d5196a

14211121224042 has 96 divisors (see below), whose sum is σ = 32481153506880. Its totient is φ = 4484075016960.

The previous prime is 14211121224031. The next prime is 14211121224043. The reversal of 14211121224042 is 24042212111241.

14211121224042 is a `hidden beast` number, since 1 + 4 + 21 + 112 + 122 + 404 + 2 = 666.

14211121224042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14211121223997 and 14211121224015.

It is not an unprimeable number, because it can be changed into a prime (14211121224043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6416638 + ... + 8342390.

It is an arithmetic number, because the mean of its divisors is an integer number (338345349030).

Almost surely, 214211121224042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14211121224042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240576753440).

14211121224042 is an abundant number, since it is smaller than the sum of its proper divisors (18270032282838).

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

14211121224042 is a wasteful number, since it uses less digits than its factorization.

14211121224042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926068 (or 1926065 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 14211121224042 its reverse (24042212111241), we get a palindrome (38253333335283).

The spelling of 14211121224042 in words is "fourteen trillion, two hundred eleven billion, one hundred twenty-one million, two hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 58 67 87 134 174 201 211 261 402 422 522 603 633 1206 1266 1899 1943 3798 3886 5829 6119 11658 12238 14137 17487 18357 28274 34974 36714 42411 55071 84822 110142 127233 254466 409973 819946 1229919 1925753 2459838 3689757 3851506 5777259 7379514 11554518 17331777 34663554 55846837 111693674 129025451 167540511 258050902 335081022 387076353 406333883 502621533 774152706 812667766 1005243066 1161229059 1219001649 2322458118 2438003298 3657004947 3741738079 7314009894 7483476158 11225214237 11783682607 22450428474 23567365214 27224370161 33675642711 35351047821 54448740322 67351285422 70702095642 81673110483 106053143463 163346220966 212106286926 245019331449 490038662898 789506734669 1579013469338 2368520204007 4737040408014 7105560612021 14211121224042