Search a number
-
+
142042121431121 = 171311991537320849
BaseRepresentation
bin100000010010111111000010…
…001100001110100001010001
3200121221002112122222210110202
4200102333002030032201101
5122104204231041243441
61222033125540304545
741630130120041252
oct4022770214164121
9617832478883422
10142042121431121
11412937a857672a
1213b2086b0a2155
13613468c6a9ac2
142710c37db2b29
151164c9534d19b
hex812fc230e851

142042121431121 has 32 divisors (see below), whose sum is σ = 152324362080000. Its totient is φ = 131984611799040.

The previous prime is 142042121431079. The next prime is 142042121431151. The reversal of 142042121431121 is 121134121240241.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 142042121431121 - 226 = 142042054322257 is a prime.

It is a super-2 number, since 2×1420421214311212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142042121431151) 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 31 ways as a sum of consecutive naturals, for example, 6812888105 + ... + 6812908953.

It is an arithmetic number, because the mean of its divisors is an integer number (4760136315000).

Almost surely, 2142042121431121 is an apocalyptic number.

It is an amenable number.

142042121431121 is a deficient number, since it is larger than the sum of its proper divisors (10282240648879).

142042121431121 is a wasteful number, since it uses less digits than its factorization.

142042121431121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36569.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 142042121431121 its reverse (121134121240241), we get a palindrome (263176242671362).

The spelling of 142042121431121 in words is "one hundred forty-two trillion, forty-two billion, one hundred twenty-one million, four hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 17 131 199 2227 3383 15373 20849 26069 261341 354433 443173 2013863 2731219 3059227 4148951 34235671 46430723 52006859 70532167 320511677 400758737 543512581 5448698509 6812898529 9239713877 41987029687 63781823723 713779504679 1084291003291 8355418907713 142042121431121