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40413510531405 = 32511215877467477
BaseRepresentation
bin10010011000001100000001…
…11100000111100101001101
312022002111100000221111012100
421030012000330013211031
520244113332144001110
6221541413242025313
711340531315421104
oct1114060074074515
9168074300844170
1040413510531405
1111971301131700
1246484aaaa8239
131971c92ca928b
149da04ab4103b
154a13ac7b0bc0
hex24c180f0794d

40413510531405 has 72 divisors (see below), whose sum is σ = 77002215105816. Its totient is φ = 19593153296640.

The previous prime is 40413510531403. The next prime is 40413510531419. The reversal of 40413510531405 is 50413501531404.

40413510531405 is a `hidden beast` number, since 4 + 0 + 41 + 35 + 10 + 531 + 40 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12967625921481 + 27445884609924 = 3601059^2 + 5238882^2 .

It is not a de Polignac number, because 40413510531405 - 21 = 40413510531403 is a prime.

It is a super-4 number, since 4×404135105314054 (a number of 56 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40413510531405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40413510531403) 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 71 ways as a sum of consecutive naturals, for example, 86216527 + ... + 86684003.

It is an arithmetic number, because the mean of its divisors is an integer number (1069475209803).

Almost surely, 240413510531405 is an apocalyptic number.

40413510531405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40413510531405 is a deficient number, since it is larger than the sum of its proper divisors (36588704574411).

40413510531405 is a wasteful number, since it uses less digits than its factorization.

40413510531405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483387 (or 483373 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Subtracting 40413510531405 from its reverse (50413501531404), we obtain a palindrome (9999990999999).

The spelling of 40413510531405 in words is "forty trillion, four hundred thirteen billion, five hundred ten million, five hundred thirty-one thousand, four hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 5445 15877 47631 79385 142893 174647 238155 467477 523941 714465 873235 1402431 1571823 1921117 2337385 2619705 4207293 5142247 5763351 7012155 7859115 9605585 15426741 17290053 21036465 25711235 28816755 46280223 56564717 77133705 86450265 169694151 231401115 282823585 509082453 848470755 2545412265 7422132329 22266396987 37110661645 66799190961 81643455619 111331984935 244930366857 333995954805 408217278095 734791100571 898078011809 1224651834285 2694234035427 3673955502855 4490390059045 8082702106281 13471170177135 40413510531405