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4023014213377 is a prime number
BaseRepresentation
bin111010100010101110010…
…101010100011100000001
3112020121002202222212121101
4322202232111110130001
51011403113114312002
612320051444254401
7563440020411115
oct72425625243401
915217082885541
104023014213377
111311172709825
1254b82b3a1401
132324a3ac3183
14dca01a8b745
156e9ab676587
hex3a8ae554701

4023014213377 has 2 divisors, whose sum is σ = 4023014213378. Its totient is φ = 4023014213376.

The previous prime is 4023014213303. The next prime is 4023014213429. The reversal of 4023014213377 is 7733124103204.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3841223689216 + 181790524161 = 1959904^2 + 426369^2 .

It is a cyclic number.

It is not a de Polignac number, because 4023014213377 - 227 = 4022879995649 is a prime.

It is a super-3 number, since 3×40230142133773 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (4023014219377) by changing a digit.

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 as a sum of consecutive naturals, namely, 2011507106688 + 2011507106689.

It is an arithmetic number, because the mean of its divisors is an integer number (2011507106689).

Almost surely, 24023014213377 is an apocalyptic number.

It is an amenable number.

4023014213377 is a deficient number, since it is larger than the sum of its proper divisors (1).

4023014213377 is an equidigital number, since it uses as much as digits as its factorization.

4023014213377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 37.

The spelling of 4023014213377 in words is "four trillion, twenty-three billion, fourteen million, two hundred thirteen thousand, three hundred seventy-seven".