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1414065632129 is a prime number
BaseRepresentation
bin10100100100111100111…
…000010011001110000001
312000011221122221221101222
4110210330320103032001
5141132001300212004
63001340210004425
7204106602360623
oct24447470231601
95004848857358
101414065632129
114a577a203957
121aa07b876715
13a34659b5417
144c6266c8c13
1526bb2e097be
hex1493ce13381

1414065632129 has 2 divisors, whose sum is σ = 1414065632130. Its totient is φ = 1414065632128.

The previous prime is 1414065632099. The next prime is 1414065632159. The reversal of 1414065632129 is 9212365604141.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (1414065632099) and next prime (1414065632159).

It can be written as a sum of positive squares in only one way, i.e., 1254187209025 + 159878423104 = 1119905^2 + 399848^2 .

It is a cyclic number.

It is not a de Polignac number, because 1414065632129 - 232 = 1409770664833 is a prime.

It is a super-2 number, since 2×14140656321292 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1414065632129.

It is not a weakly prime, because it can be changed into another prime (1414065632159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 707032816064 + 707032816065.

It is an arithmetic number, because the mean of its divisors is an integer number (707032816065).

Almost surely, 21414065632129 is an apocalyptic number.

It is an amenable number.

1414065632129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1414065632129 is an equidigital number, since it uses as much as digits as its factorization.

1414065632129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 1414065632129 in words is "one trillion, four hundred fourteen billion, sixty-five million, six hundred thirty-two thousand, one hundred twenty-nine".