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4041313242377 is a prime number
BaseRepresentation
bin111010110011110001000…
…010100100110100001001
3112022100100001211212022012
4322303301002210310021
51012203102142224002
612332315332105305
7564655336526645
oct72636102446411
915270301755265
104041313242377
111318a02a72094
12553297765235
1323412bc71598
14dd85a0b7c25
15701ccdead52
hex3acf10a4d09

4041313242377 has 2 divisors, whose sum is σ = 4041313242378. Its totient is φ = 4041313242376.

The previous prime is 4041313242319. The next prime is 4041313242389. The reversal of 4041313242377 is 7732423131404.

4041313242377 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., 2297722398976 + 1743590843401 = 1515824^2 + 1320451^2 .

It is a cyclic number.

It is not a de Polignac number, because 4041313242377 - 216 = 4041313176841 is a prime.

It is a super-2 number, since 2×40413132423772 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4041313242397) 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, 2020656621188 + 2020656621189.

It is an arithmetic number, because the mean of its divisors is an integer number (2020656621189).

Almost surely, 24041313242377 is an apocalyptic number.

It is an amenable number.

4041313242377 is a deficient number, since it is larger than the sum of its proper divisors (1).

4041313242377 is an equidigital number, since it uses as much as digits as its factorization.

4041313242377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 338688, while the sum is 41.

The spelling of 4041313242377 in words is "four trillion, forty-one billion, three hundred thirteen million, two hundred forty-two thousand, three hundred seventy-seven".