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1414431516601 is a prime number
BaseRepresentation
bin10100100101010010101…
…100000010011110111001
312000012220011102210112201
4110211102230002132321
5141133223432012401
63001440400110201
7204121634343325
oct24452254023671
95005804383481
101414431516601
114a5947798314
121aa162305361
13a34c37406cc
144c65d12c985
1526bd50ceb01
hex14952b027b9

1414431516601 has 2 divisors, whose sum is σ = 1414431516602. Its totient is φ = 1414431516600.

The previous prime is 1414431516539. The next prime is 1414431516613. The reversal of 1414431516601 is 1066151344141.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 778144515625 + 636287000976 = 882125^2 + 797676^2 .

It is a cyclic number.

It is not a de Polignac number, because 1414431516601 - 211 = 1414431514553 is a prime.

It is not a weakly prime, because it can be changed into another prime (1414431516301) 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, 707215758300 + 707215758301.

It is an arithmetic number, because the mean of its divisors is an integer number (707215758301).

Almost surely, 21414431516601 is an apocalyptic number.

It is an amenable number.

1414431516601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1414431516601 is an equidigital number, since it uses as much as digits as its factorization.

1414431516601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 1414431516601 in words is "one trillion, four hundred fourteen billion, four hundred thirty-one million, five hundred sixteen thousand, six hundred one".