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4001309141749 is a prime number
BaseRepresentation
bin111010001110100000100…
…111000010101011110101
3112011112002010001222210121
4322032200213002223311
51011024140120013444
612302102005251541
7562041112346653
oct72164047025365
915145063058717
104001309141749
111302a447731a7
12547592403bb1
132304250b471a
14db94315ddd3
156e13ada4084
hex3a3a09c2af5

4001309141749 has 2 divisors, whose sum is σ = 4001309141750. Its totient is φ = 4001309141748.

The previous prime is 4001309141747. The next prime is 4001309141771. The reversal of 4001309141749 is 9471419031004.

4001309141749 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., 4001060070225 + 249071524 = 2000265^2 + 15782^2 .

It is a cyclic number.

It is not a de Polignac number, because 4001309141749 - 21 = 4001309141747 is a prime.

Together with 4001309141747, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4001309141747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000654570874 + 2000654570875.

It is an arithmetic number, because the mean of its divisors is an integer number (2000654570875).

Almost surely, 24001309141749 is an apocalyptic number.

It is an amenable number.

4001309141749 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001309141749 is an equidigital number, since it uses as much as digits as its factorization.

4001309141749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 4001309141749 in words is "four trillion, one billion, three hundred nine million, one hundred forty-one thousand, seven hundred forty-nine".