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2014014141329 is a prime number
BaseRepresentation
bin11101010011101100100…
…110001111001110010001
321010112112002220222210112
4131103230212033032101
5230444200110010304
64141120400411105
7265336101511661
oct35235446171621
97115462828715
102014014141329
11707158528673
122863b5316a95
13117bc7a84aa8
146d69bba81a1
15375c84a5b6e
hex1d4ec98f391

2014014141329 has 2 divisors, whose sum is σ = 2014014141330. Its totient is φ = 2014014141328.

The previous prime is 2014014141283. The next prime is 2014014141397. The reversal of 2014014141329 is 9231414104102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1292261947729 + 721752193600 = 1136777^2 + 849560^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2014014141329 is a prime.

It is a super-2 number, since 2×20140141413292 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2014014141295 and 2014014141304.

It is not a weakly prime, because it can be changed into another prime (2014014141829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1007007070664 + 1007007070665.

It is an arithmetic number, because the mean of its divisors is an integer number (1007007070665).

Almost surely, 22014014141329 is an apocalyptic number.

It is an amenable number.

2014014141329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2014014141329 is an equidigital number, since it uses as much as digits as its factorization.

2014014141329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 2014014141329 in words is "two trillion, fourteen billion, fourteen million, one hundred forty-one thousand, three hundred twenty-nine".