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42354035330013 = 32112961241842023
BaseRepresentation
bin10011010000101010100010…
…01110110000101111011101
312112222000011112201001202200
421220111101032300233131
521022412031021030023
6230025101503042113
711630656323151431
oct1150252116605735
9175860145631680
1042354035330013
111254a27785a390
1249005b48a0339
131a82c7873bb94
14a65d3670a9c1
154d6ad4151743
hex2685513b0bdd

42354035330013 has 48 divisors (see below), whose sum is σ = 70172881683840. Its totient is φ = 24377675817600.

The previous prime is 42354035330003. The next prime is 42354035330021. The reversal of 42354035330013 is 31003353045324.

42354035330013 is a `hidden beast` number, since 4 + 23 + 540 + 3 + 53 + 30 + 0 + 13 = 666.

42354035330013 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 42354035330013 - 237 = 42216596376541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42354035330013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42354035330003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120745881 + ... + 121096142.

It is an arithmetic number, because the mean of its divisors is an integer number (1461935035080).

Almost surely, 242354035330013 is an apocalyptic number.

It is an amenable number.

42354035330013 is a deficient number, since it is larger than the sum of its proper divisors (27818846353827).

42354035330013 is a wasteful number, since it uses less digits than its factorization.

42354035330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241842130 (or 241842127 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 42354035330013 its reverse (31003353045324), we get a palindrome (73357388375337).

The spelling of 42354035330013 in words is "forty-two trillion, three hundred fifty-four billion, thirty-five million, three hundred thirty thousand, thirteen".

Divisors: 1 3 9 11 29 33 61 87 99 183 261 319 549 671 957 1769 2013 2871 5307 6039 15921 19459 58377 175131 241842023 725526069 2176578207 2660262253 7013418667 7980786759 14752363403 21040256001 23942360277 44257090209 63120768003 77147605337 132771270627 162275997433 231442816011 427818538687 486827992299 694328448033 1283455616061 1460483976897 3850366848183 4706003925557 14118011776671 42354035330013