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42430330041 = 31129615631291
BaseRepresentation
bin100111100001000010…
…110111010010111001
311001112001011002120020
4213201002313102321
51143344131030131
631254153121053
73031314566061
oct474102672271
9131461132506
1042430330041
1116aa38a6a70
1282819b9189
13400272a488
1420a72843a1
15118504e996
hex9e10b74b9

42430330041 has 64 divisors (see below), whose sum is σ = 65057264640. Its totient is φ = 24359328000.

The previous prime is 42430330037. The next prime is 42430330067. The reversal of 42430330041 is 14003303424.

42430330041 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 42430330041 - 22 = 42430330037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42430329993 and 42430330020.

It is not an unprimeable number, because it can be changed into a prime (42430330001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32865606 + ... + 32866896.

It is an arithmetic number, because the mean of its divisors is an integer number (1016519760).

Almost surely, 242430330041 is an apocalyptic number.

It is an amenable number.

42430330041 is a deficient number, since it is larger than the sum of its proper divisors (22626934599).

42430330041 is a wasteful number, since it uses less digits than its factorization.

42430330041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 42430330041 its reverse (14003303424), we get a palindrome (56433633465).

The spelling of 42430330041 in words is "forty-two billion, four hundred thirty million, three hundred thirty thousand, forty-one".

Divisors: 1 3 11 29 33 61 87 183 319 563 671 957 1291 1689 1769 2013 3873 5307 6193 14201 16327 18579 19459 34343 37439 42603 48981 58377 78751 103029 112317 179597 236253 377773 411829 538791 726833 866261 995947 1133319 1235487 2180499 2283779 2598783 2987841 6851337 7995163 10955417 21078157 23985489 25121569 32866251 44336813 63234471 75364707 133010439 231859727 487704943 695579181 1285767577 1463114829 3857302731 14143443347 42430330041