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42113134113141 = 3713533667779357
BaseRepresentation
bin10011001001101001110100…
…11001100011000101110101
312112002222100201120021122010
421210310322121203011311
521004440144313110031
6225322301241554433
711604400502456250
oct1144647231430565
9175088321507563
1042113134113141
1112467097357613
1248819834a5a19
131a66336738c40
14a584024a6097
154d06d5028246
hex264d3a663175

42113134113141 has 64 divisors (see below), whose sum is σ = 70415478379008. Its totient is φ = 21793529392128.

The previous prime is 42113134113133. The next prime is 42113134113199. The reversal of 42113134113141 is 14131143131124.

It is a happy number.

42113134113141 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 42113134113141 - 23 = 42113134113133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42113134113099 and 42113134113108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42113134113101) 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 63 ways as a sum of consecutive naturals, for example, 530639835 + ... + 530719191.

It is an arithmetic number, because the mean of its divisors is an integer number (1100241849672).

Almost surely, 242113134113141 is an apocalyptic number.

It is an amenable number.

42113134113141 is a deficient number, since it is larger than the sum of its proper divisors (28302344265867).

42113134113141 is a wasteful number, since it uses less digits than its factorization.

42113134113141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116110.

The product of its digits is 3456, while the sum is 30.

Adding to 42113134113141 its reverse (14131143131124), we get a palindrome (56244277244265).

The spelling of 42113134113141 in words is "forty-two trillion, one hundred thirteen billion, one hundred thirty-four million, one hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 7 13 21 39 53 91 159 273 371 689 1113 2067 4823 14469 36677 79357 110031 238071 256739 476801 555499 770217 1031641 1430403 1666497 1943881 3094923 3337607 4205921 5831643 7221487 10012821 12617763 13607167 21664461 25270453 29441447 40821501 54676973 75811359 88324341 164030919 176893171 382738811 530679513 1148216433 2910576689 8731730067 20374036823 37837496957 61122110469 113512490871 154260564517 264862478699 462781693551 794587436097 1079823951619 2005387338721 3239471854857 6016162016163 14037711371047 42113134113141