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40103218434116 = 2265398331561421
BaseRepresentation
bin10010001111001010000100…
…00101101101000001000100
312020222211102020121202011202
421013211002011231001010
520224022342404342431
6221143055245322032
711306235065210045
oct1107450205550104
9166884366552152
1040103218434116
1111861752354382
1245b8332866318
13194b942acb496
149c9012b628cc
1549829b7968cb
hex24794216d044

40103218434116 has 24 divisors (see below), whose sum is σ = 70295299633944. Its totient is φ = 20018853397760.

The previous prime is 40103218434113. The next prime is 40103218434131. The reversal of 40103218434116 is 61143481230104.

It can be written as a sum of positive squares in 4 ways, for example, as 823592550400 + 39279625883716 = 907520^2 + 6267346^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40103218434116.

It is not an unprimeable number, because it can be changed into a prime (40103218434113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24903086 + ... + 26464506.

It is an arithmetic number, because the mean of its divisors is an integer number (2928970818081).

Almost surely, 240103218434116 is an apocalyptic number.

It is an amenable number.

40103218434116 is a deficient number, since it is larger than the sum of its proper divisors (30192081199828).

40103218434116 is a wasteful number, since it uses less digits than its factorization.

40103218434116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571911 (or 1571909 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 40103218434116 in words is "forty trillion, one hundred three billion, two hundred eighteen million, four hundred thirty-four thousand, one hundred sixteen".

Divisors: 1 2 4 653 1306 2612 9833 19666 39332 1561421 3122842 6245684 6420949 12841898 25683796 1019607913 2039215826 4078431652 15353452693 30706905386 61413810772 10025804608529 20051609217058 40103218434116