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40023144034249 is a prime number
BaseRepresentation
bin10010001100110100111010…
…10010000110111111001001
312020201011201201111202202011
421012122131102012333021
520221214344333043444
6221042213433135521
711300401551065155
oct1106323522067711
9166634651452664
1040023144034249
11118307a1451602
1245a4905b5a5a1
13194422144729c
149c51b817c065
154961619cd734
hex24669d486fc9

40023144034249 has 2 divisors, whose sum is σ = 40023144034250. Its totient is φ = 40023144034248.

The previous prime is 40023144034231. The next prime is 40023144034331. The reversal of 40023144034249 is 94243044132004.

It is a happy number.

40023144034249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32717908081849 + 7305235952400 = 5719957^2 + 2702820^2 .

It is a cyclic number.

It is not a de Polignac number, because 40023144034249 - 215 = 40023144001481 is a prime.

It is a super-3 number, since 3×400231440342493 (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (40023144064249) 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 as a sum of consecutive naturals, namely, 20011572017124 + 20011572017125.

It is an arithmetic number, because the mean of its divisors is an integer number (20011572017125).

Almost surely, 240023144034249 is an apocalyptic number.

It is an amenable number.

40023144034249 is a deficient number, since it is larger than the sum of its proper divisors (1).

40023144034249 is an equidigital number, since it uses as much as digits as its factorization.

40023144034249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 40023144034249 in words is "forty trillion, twenty-three billion, one hundred forty-four million, thirty-four thousand, two hundred forty-nine".