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40303032304041 = 3213226497720121
BaseRepresentation
bin10010010100111110001111…
…11011001000000110101001
312021200221011121200001012200
421022133013323020012221
520240311102232212131
6221414542450130413
711326540466114553
oct1112370773100651
9167627147601180
1040303032304041
1111929469046271
12462abb7b80a09
1319647376ab500
149d496a2324d3
1549d5937012e6
hex24a7c7ec81a9

40303032304041 has 18 divisors (see below), whose sum is σ = 63038076170238. Its totient is φ = 24801866032320.

The previous prime is 40303032304039. The next prime is 40303032304069. The reversal of 40303032304041 is 14040323030304.

40303032304041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2152150614441 + 38150881689600 = 1467021^2 + 6176640^2 .

It is not a de Polignac number, because 40303032304041 - 21 = 40303032304039 is a prime.

It is a super-3 number, since 3×403030323040413 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40303032303996 and 40303032304014.

It is not an unprimeable number, because it can be changed into a prime (40303032304021) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 13248858540 + ... + 13248861581.

It is an arithmetic number, because the mean of its divisors is an integer number (3502115342791).

Almost surely, 240303032304041 is an apocalyptic number.

It is an amenable number.

40303032304041 is a deficient number, since it is larger than the sum of its proper divisors (22735043866197).

40303032304041 is a wasteful number, since it uses less digits than its factorization.

40303032304041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26497720153 (or 26497720137 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 40303032304041 its reverse (14040323030304), we get a palindrome (54343355334345).

The spelling of 40303032304041 in words is "forty trillion, three hundred three billion, thirty-two million, three hundred four thousand, forty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 26497720121 79493160363 238479481089 344470361573 1033411084719 3100233254157 4478114700449 13434344101347 40303032304041