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14311242201141 = 323835087381611
BaseRepresentation
bin1101000001000001100010…
…0000011111100000110101
31212200010211002000222020200
43100100120200133200311
53333433411000414031
650234254403351113
73004644631406514
oct320203040374065
955603732028220
1014311242201141
114618400147006
121731746082499
137ca70cc1bb82
1437694c6ca67b
1519c40553e8e6
hexd041881f835

14311242201141 has 24 divisors (see below), whose sum is σ = 20726429008896. Its totient is φ = 9515613704640.

The previous prime is 14311242201133. The next prime is 14311242201143. The reversal of 14311242201141 is 14110224211341.

14311242201141 is a `hidden beast` number, since 1 + 4 + 311 + 2 + 4 + 2 + 201 + 141 = 666.

It is not a de Polignac number, because 14311242201141 - 23 = 14311242201133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14311242201143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175318426 + ... + 175400036.

It is an arithmetic number, because the mean of its divisors is an integer number (863601208704).

Almost surely, 214311242201141 is an apocalyptic number.

It is an amenable number.

14311242201141 is a deficient number, since it is larger than the sum of its proper divisors (6415186807755).

14311242201141 is a wasteful number, since it uses less digits than its factorization.

14311242201141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132873 (or 132870 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 14311242201141 its reverse (14110224211341), we get a palindrome (28421466412482).

The spelling of 14311242201141 in words is "fourteen trillion, three hundred eleven billion, two hundred forty-two million, two hundred one thousand, one hundred forty-one".

Divisors: 1 3 9 383 1149 3447 50873 81611 152619 244833 457857 734499 19484359 31257013 58453077 93771039 175359231 281313117 4151796403 12455389209 37366167627 1590138022349 4770414067047 14311242201141