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4000242024029 is a prime number
BaseRepresentation
bin111010001101100001000…
…000010011111001011101
3112011102022202002210111002
4322031201000103321131
51011014443424232104
612301404045240045
7562002504115406
oct72154100237135
915142282083432
104000242024029
111302547377929
12547334b63025
132302b4ca7914
14db8815409ad
156e0c736601e
hex3a361013e5d

4000242024029 has 2 divisors, whose sum is σ = 4000242024030. Its totient is φ = 4000242024028.

The previous prime is 4000242023977. The next prime is 4000242024073. The reversal of 4000242024029 is 9204202420004.

4000242024029 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2581051099225 + 1419190924804 = 1606565^2 + 1191298^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000242024029 - 220 = 4000240975453 is a prime.

It is a super-2 number, since 2×40002420240292 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4000242023992 and 4000242024010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000242024529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000121012014 + 2000121012015.

It is an arithmetic number, because the mean of its divisors is an integer number (2000121012015).

Almost surely, 24000242024029 is an apocalyptic number.

It is an amenable number.

4000242024029 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000242024029 is an equidigital number, since it uses as much as digits as its factorization.

4000242024029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 4000242024029 in words is "four trillion, two hundred forty-two million, twenty-four thousand, twenty-nine".