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41100114141 = 3217355775521
BaseRepresentation
bin100110010001110000…
…011111100011011101
310221002100010010101200
4212101300133203131
51133133112123031
630514154030113
72653333130442
oct462160374335
9127070103350
1041100114141
1116480a41089
127b70418339
133b4cc73188
141dbc7399c9
1511083918e6
hex991c1f8dd

41100114141 has 24 divisors (see below), whose sum is σ = 62877502584. Its totient is φ = 25780715520.

The previous prime is 41100114091. The next prime is 41100114161. The reversal of 41100114141 is 14141100114.

41100114141 is a `hidden beast` number, since 411 + 0 + 0 + 114 + 141 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5923611225 + 35176502916 = 76965^2 + 187554^2 .

It is not a de Polignac number, because 41100114141 - 211 = 41100112093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41100114161) 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 23 ways as a sum of consecutive naturals, for example, 506461 + ... + 581981.

It is an arithmetic number, because the mean of its divisors is an integer number (2619895941).

Almost surely, 241100114141 is an apocalyptic number.

It is an amenable number.

41100114141 is a deficient number, since it is larger than the sum of its proper divisors (21777388443).

41100114141 is a wasteful number, since it uses less digits than its factorization.

41100114141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79101 (or 79098 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 41100114141 its reverse (14141100114), we get a palindrome (55241214255).

The spelling of 41100114141 in words is "forty-one billion, one hundred million, one hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 9 17 51 153 3557 10671 32013 60469 75521 181407 226563 544221 679689 1283857 3851571 11554713 268628197 805884591 2417653773 4566679349 13700038047 41100114141