Search a number
-
+
42134133021211 = 7211616719126727
BaseRepresentation
bin10011001010010000111100…
…00010000001101000011011
312112011222120011201100011001
421211020132002001220123
521010311201023134321
6225340053053245431
711606043044315500
oct1145103602015033
9175158504640131
1042134133021211
1112474a92723aa0
124885a63a93877
131a6830205aa2a
14a594352d34a7
154d101380bc91
hex26521e081a1b

42134133021211 has 48 divisors (see below), whose sum is σ = 55156587109632. Its totient is φ = 31811570683200.

The previous prime is 42134133021157. The next prime is 42134133021217. The reversal of 42134133021211 is 11212033143124.

It is not a de Polignac number, because 42134133021211 - 29 = 42134133020699 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42134133021211.

It is not an unprimeable number, because it can be changed into a prime (42134133021217) 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, 7360471 + ... + 11766256.

It is an arithmetic number, because the mean of its divisors is an integer number (1149095564784).

Almost surely, 242134133021211 is an apocalyptic number.

42134133021211 is a deficient number, since it is larger than the sum of its proper divisors (13022454088421).

42134133021211 is a wasteful number, since it uses less digits than its factorization.

42134133021211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19126880 (or 19126873 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 42134133021211 its reverse (11212033143124), we get a palindrome (53346166164335).

The spelling of 42134133021211 in words is "forty-two trillion, one hundred thirty-four billion, one hundred thirty-three million, twenty-one thousand, two hundred eleven".

Divisors: 1 7 11 49 61 67 77 427 469 539 671 737 2989 3283 4087 4697 5159 28609 32879 36113 44957 200263 314699 2202893 19126727 133887089 210393997 937209623 1166730347 1281490709 1472757979 8167112429 8970434963 10309305853 12834033817 14096397799 57169787003 62793044741 78170933249 89838236719 98674784593 547196532743 628867657033 690723492151 859880265739 3830375729201 6019161860173 42134133021211