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42144012141 = 3711216585601
BaseRepresentation
bin100111001111111110…
…101001011101101101
311000210002101122020120
4213033332221131231
51142302331342031
631205524235153
73021240123030
oct471776513555
9130702348216
1042144012141
1116967218100
128201b3bab9
133c883101ba
14207b233017
151169d44a96
hex9cffa976d

42144012141 has 24 divisors (see below), whose sum is σ = 70588322112. Its totient is φ = 21892992000.

The previous prime is 42144012139. The next prime is 42144012149. The reversal of 42144012141 is 14121044124.

It is not a de Polignac number, because 42144012141 - 21 = 42144012139 is a prime.

It is a super-2 number, since 2×421440121412 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42144012149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8290260 + ... + 8295341.

It is an arithmetic number, because the mean of its divisors is an integer number (2941180088).

Almost surely, 242144012141 is an apocalyptic number.

It is an amenable number.

42144012141 is a deficient number, since it is larger than the sum of its proper divisors (28444309971).

42144012141 is a wasteful number, since it uses less digits than its factorization.

42144012141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16585633 (or 16585622 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 42144012141 its reverse (14121044124), we get a palindrome (56265056265).

The spelling of 42144012141 in words is "forty-two billion, one hundred forty-four million, twelve thousand, one hundred forty-one".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 2541 16585601 49756803 116099207 182441611 348297621 547324833 1277091277 2006857721 3831273831 6020573163 14048004047 42144012141