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8040385134105 = 3510134715294481
BaseRepresentation
bin111010100000000110001…
…0011001011111000011001
31001110122122021010210000220
41311000030103023320121
52023213202043242410
625033411341350253
71456620144665052
oct165001423137031
931418567123026
108040385134105
11261a9a9883225
12a9a344868389
134642886b170c
141db22a061729
15de237676070
hex7500c4cbe19

8040385134105 has 32 divisors (see below), whose sum is σ = 13029430393728. Its totient is φ = 4233512064000.

The previous prime is 8040385134091. The next prime is 8040385134127. The reversal of 8040385134105 is 5014315830408.

It is a happy number.

It is not a de Polignac number, because 8040385134105 - 28 = 8040385133849 is a prime.

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, 7121536 + ... + 8172945.

It is an arithmetic number, because the mean of its divisors is an integer number (407169699804).

Almost surely, 28040385134105 is an apocalyptic number.

It is an amenable number.

8040385134105 is a deficient number, since it is larger than the sum of its proper divisors (4989045259623).

8040385134105 is a wasteful number, since it uses less digits than its factorization.

8040385134105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15294937.

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 8040385134105 in words is "eight trillion, forty billion, three hundred eighty-five million, one hundred thirty-four thousand, one hundred five".

Divisors: 1 3 5 15 101 303 347 505 1041 1515 1735 5205 35047 105141 175235 525705 15294481 45883443 76472405 229417215 1544742581 4634227743 5307184907 7723712905 15921554721 23171138715 26535924535 79607773605 536025675607 1608077026821 2680128378035 8040385134105