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41404013037345 = 3572181311226467
BaseRepresentation
bin10010110101000000111110…
…11111010100011100100001
312102121011222212011020010010
421122200133133110130201
520411330404314143340
6224020424020155133
711502225020000100
oct1132403737243441
9172534885136103
1041404013037345
1112213385a60752
124788460238aa9
131a144c670923a
14a31d71a70037
154bc030329b80
hex25a81f7d4721

41404013037345 has 48 divisors (see below), whose sum is σ = 77487921096768. Its totient is φ = 18822976663680.

The previous prime is 41404013037329. The next prime is 41404013037391. The reversal of 41404013037345 is 54373031040414.

It is a happy number.

41404013037345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41404013037345 - 24 = 41404013037329 is a prime.

It is a super-4 number, since 4×414040130373454 (a number of 56 digits) contains 4444 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155480199 + ... + 155746268.

It is an arithmetic number, because the mean of its divisors is an integer number (1614331689516).

Almost surely, 241404013037345 is an apocalyptic number.

It is an amenable number.

41404013037345 is a deficient number, since it is larger than the sum of its proper divisors (36083908059423).

41404013037345 is a wasteful number, since it uses less digits than its factorization.

41404013037345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311226670 (or 311226663 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

Adding to 41404013037345 its reverse (54373031040414), we get a palindrome (95777044077759).

The spelling of 41404013037345 in words is "forty-one trillion, four hundred four billion, thirteen million, thirty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 181 245 543 735 905 1267 2715 3801 6335 8869 19005 26607 44345 133035 311226467 933679401 1556132335 2178585269 4668397005 6535755807 10892926345 15250096883 32678779035 45750290649 56331990527 76250484415 168995971581 228751453245 281659952635 394323933689 844979857905 1182971801067 1971619668445 2760267535823 5914859005335 8280802607469 13801337679115 41404013037345