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40043413215441 = 3212015550166749
BaseRepresentation
bin10010001101011010101010…
…11010111001100011010001
312020210010001022112212011200
421012231111122321203101
520222032402240343231
6221055405020101413
711302020052222656
oct1106552532714321
9166703038485150
1040043413215441
1111839352915419
1245a8822094869
13194610181c11c
149c617c0d3c2d
1549694b1bbbe6
hex246b556b98d1

40043413215441 has 24 divisors (see below), whose sum is σ = 57890556321000. Its totient is φ = 26672500800000.

The previous prime is 40043413215439. The next prime is 40043413215467. The reversal of 40043413215441 is 14451231434004.

It is a happy number.

40043413215441 is a `hidden beast` number, since 4 + 0 + 0 + 43 + 41 + 32 + 1 + 544 + 1 = 666.

40043413215441 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 4 ways, for example, as 2739157401600 + 37304255813841 = 1655040^2 + 6107721^2 .

It is not a de Polignac number, because 40043413215441 - 21 = 40043413215439 is a prime.

It is a super-3 number, since 3×400434132154413 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40043413215396 and 40043413215405.

It is not an unprimeable number, because it can be changed into a prime (40043413215431) 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 23 ways as a sum of consecutive naturals, for example, 599876935 + ... + 599943683.

It is an arithmetic number, because the mean of its divisors is an integer number (2412106513375).

Almost surely, 240043413215441 is an apocalyptic number.

It is an amenable number.

40043413215441 is a deficient number, since it is larger than the sum of its proper divisors (17847143105559).

40043413215441 is a wasteful number, since it uses less digits than its factorization.

40043413215441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123457 (or 123454 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 40043413215441 its reverse (14451231434004), we get a palindrome (54494644649445).

The spelling of 40043413215441 in words is "forty trillion, forty-three billion, four hundred thirteen million, two hundred fifteen thousand, four hundred forty-one".

Divisors: 1 3 9 1201 3603 10809 55501 66749 166503 200247 499509 600741 66656701 80165549 199970103 240496647 599910309 721489941 3704636249 11113908747 33341726241 4449268135049 13347804405147 40043413215441