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41241134144 = 26792056103
BaseRepresentation
bin100110011010001010…
…011100010001000000
310221110011110200110202
4212122022130101000
51133430212243034
630540152344332
72656664566460
oct463212342100
9127404420422
1041241134144
11165435aa541
127bab6a50a8
133b73249872
141dd3367ba0
15111594a47e
hex99a29c440

41241134144 has 28 divisors (see below), whose sum is σ = 93529001664. Its totient is φ = 17674771584.

The previous prime is 41241134113. The next prime is 41241134203. The reversal of 41241134144 is 44143114214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×412411341442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46027604 + ... + 46028499.

It is an arithmetic number, because the mean of its divisors is an integer number (3340321488).

Almost surely, 241241134144 is an apocalyptic number.

It is an amenable number.

41241134144 is an abundant number, since it is smaller than the sum of its proper divisors (52287867520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41241134144 is an equidigital number, since it uses as much as digits as its factorization.

41241134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92056122 (or 92056112 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

Adding to 41241134144 its reverse (44143114214), we get a palindrome (85384248358).

The spelling of 41241134144 in words is "forty-one billion, two hundred forty-one million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 92056103 184112206 368224412 644392721 736448824 1288785442 1472897648 2577570884 2945795296 5155141768 5891590592 10310283536 20620567072 41241134144