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1431416801 is a prime number
BaseRepresentation
bin101010101010001…
…1010111111100001
310200202110111201002
41111110122333201
510412420314201
6354012121345
750320561553
oct12524327741
93622414632
101431416801
11674aa76a1
1233b466255
1319a72b5b9
14d816d4d3
15859ed76b
hex5551afe1

1431416801 has 2 divisors, whose sum is σ = 1431416802. Its totient is φ = 1431416800.

The previous prime is 1431416783. The next prime is 1431416821. The reversal of 1431416801 is 1086141341.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1038386176 + 393030625 = 32224^2 + 19825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1431416801 is a prime.

It is not a weakly prime, because it can be changed into another prime (1431416821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 715708400 + 715708401.

It is an arithmetic number, because the mean of its divisors is an integer number (715708401).

Almost surely, 21431416801 is an apocalyptic number.

It is an amenable number.

1431416801 is a deficient number, since it is larger than the sum of its proper divisors (1).

1431416801 is an equidigital number, since it uses as much as digits as its factorization.

1431416801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 1431416801 is about 37834.0693158957. The cubic root of 1431416801 is about 1126.9951233089.

The spelling of 1431416801 in words is "one billion, four hundred thirty-one million, four hundred sixteen thousand, eight hundred one".