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40536054461745 = 335674481598061
BaseRepresentation
bin10010011011110000010010…
…01000000111010100110001
312022112012122022222011002000
421031320021020013110301
520303120314420233440
6222114001211444213
711352430134560043
oct1115701110072461
9168465568864060
1040536054461745
1111a09275a75297
1246681aa756669
1319806c223456b
14a01d53c91a93
154a4680c6d730
hex24de09207531

40536054461745 has 32 divisors (see below), whose sum is σ = 73139680371840. Its totient is φ = 21296553981120.

The previous prime is 40536054461737. The next prime is 40536054461803. The reversal of 40536054461745 is 54716445063504.

40536054461745 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 60 + 54 + 461 + 74 + 5 = 666.

It is not a de Polignac number, because 40536054461745 - 23 = 40536054461737 is a prime.

It is a super-2 number, since 2×405360544617452 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40536054461691 and 40536054461700.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2240789986 + ... + 2240808075.

It is an arithmetic number, because the mean of its divisors is an integer number (2285615011620).

Almost surely, 240536054461745 is an apocalyptic number.

40536054461745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40536054461745 is a deficient number, since it is larger than the sum of its proper divisors (32603625910095).

40536054461745 is a wasteful number, since it uses less digits than its factorization.

40536054461745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481598142 (or 4481598136 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 40536054461745 in words is "forty trillion, five hundred thirty-six billion, fifty-four million, four hundred sixty-one thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 27 45 67 135 201 335 603 1005 1809 3015 9045 4481598061 13444794183 22407990305 40334382549 67223970915 121003147647 201671912745 300267070087 605015738235 900801210261 1501335350435 2702403630783 4504006051305 8107210892349 13512018153915 40536054461745