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242450716521 = 31353091170971
BaseRepresentation
bin1110000111001100110…
…0000101011101101001
3212011210210210112001110
43201303030011131221
512433014340412041
6303214052140533
723342104041636
oct3416314053551
9764723715043
10242450716521
11939061218a2
123aba4307749
1319b2b036950
14ba3dd5118d
15649019e516
hex3873305769

242450716521 has 16 divisors (see below), whose sum is σ = 348200233920. Its totient is φ = 149172210240.

The previous prime is 242450716517. The next prime is 242450716559. The reversal of 242450716521 is 125617054242.

242450716521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242450716521 - 22 = 242450716517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 242450716521.

It is not an unprimeable number, because it can be changed into a prime (242450716511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378435 + ... + 792536.

It is an arithmetic number, because the mean of its divisors is an integer number (21762514620).

Almost surely, 2242450716521 is an apocalyptic number.

It is an amenable number.

242450716521 is a deficient number, since it is larger than the sum of its proper divisors (105749517399).

242450716521 is a wasteful number, since it uses less digits than its factorization.

242450716521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176296.

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 242450716521 in words is "two hundred forty-two billion, four hundred fifty million, seven hundred sixteen thousand, five hundred twenty-one".

Divisors: 1 3 13 39 5309 15927 69017 207051 1170971 3512913 15222623 45667869 6216685039 18650055117 80816905507 242450716521