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242227733137 = 13291237519413
BaseRepresentation
bin1110000110010111100…
…1011110001010010001
3212011020021012210100121
43201211321132022101
512432040244430022
6303140004550241
723333425521415
oct3414571361221
9764207183317
10242227733137
1193801271105
123ab416b2381
1319ac3a93310
14ba1c4a8d45
15647a8052c7
hex3865e5e291

242227733137 has 16 divisors (see below), whose sum is σ = 270074503440. Its totient is φ = 215709725952.

The previous prime is 242227733119. The next prime is 242227733149. The reversal of 242227733137 is 731337722242.

242227733137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 49575681 + 242178157456 = 7041^2 + 492116^2 .

It is a cyclic number.

It is not a de Polignac number, because 242227733137 - 219 = 242227208849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242227733093 and 242227733102.

It is not an unprimeable number, because it can be changed into a prime (242227733117) 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, 206643 + ... + 726055.

It is an arithmetic number, because the mean of its divisors is an integer number (16879656465).

Almost surely, 2242227733137 is an apocalyptic number.

It is an amenable number.

242227733137 is a deficient number, since it is larger than the sum of its proper divisors (27846770303).

242227733137 is a wasteful number, since it uses less digits than its factorization.

242227733137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520692.

The product of its digits is 592704, while the sum is 43.

The spelling of 242227733137 in words is "two hundred forty-two billion, two hundred twenty-seven million, seven hundred thirty-three thousand, one hundred thirty-seven".

Divisors: 1 13 29 377 1237 16081 35873 466349 519413 6752369 15062977 195818701 642513881 8352680453 18632902549 242227733137