Search a number
-
+
41142354113511 = 337543140081829
BaseRepresentation
bin10010101101011001100110…
…11001101111001111100111
312101200011121101201200012000
421112230303121233033213
520343034020123113021
6223300311521300343
711444302613562540
oct1126546331571747
9171604541650160
1041142354113511
1112122413355462
1247457b71946b3
1319c5927065c61
14a2342ca674c7
154b5318bb4b26
hex256b3366f3e7

41142354113511 has 32 divisors (see below), whose sum is σ = 69671840179200. Its totient is φ = 23505587212320.

The previous prime is 41142354113503. The next prime is 41142354113519. The reversal of 41142354113511 is 11531145324114.

41142354113511 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 23 + 5 + 4 + 113 + 511 = 666.

It is an interprime number because it is at equal distance from previous prime (41142354113503) and next prime (41142354113519).

It is not a de Polignac number, because 41142354113511 - 23 = 41142354113503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41142354113519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19014456 + ... + 21067373.

It is an arithmetic number, because the mean of its divisors is an integer number (2177245005600).

Almost surely, 241142354113511 is an apocalyptic number.

41142354113511 is a deficient number, since it is larger than the sum of its proper divisors (28529486065689).

41142354113511 is a wasteful number, since it uses less digits than its factorization.

41142354113511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40087276 (or 40087270 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 41142354113511 its reverse (11531145324114), we get a palindrome (52673499437625).

The spelling of 41142354113511 in words is "forty-one trillion, one hundred forty-two billion, three hundred fifty-four million, one hundred thirteen thousand, five hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 5431 16293 38017 48879 114051 146637 342153 1026459 40081829 120245487 280572803 360736461 841718409 1082209383 2525155227 7575465681 217684413299 653053239897 1523790893093 1959159719691 4571372679279 5877479159073 13714118037837 41142354113511