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402144424321 is a prime number
BaseRepresentation
bin1011101101000011010…
…11001111000110000001
31102110000010200102010211
411312201223033012001
523042042433034241
6504424222354121
741024341130653
oct5664153170601
91373003612124
10402144424321
11145604053102
1265b3142b941
132bbca9b1783
141566ccd46d3
15a6d9cd8781
hex5da1acf181

402144424321 has 2 divisors, whose sum is σ = 402144424322. Its totient is φ = 402144424320.

The previous prime is 402144424303. The next prime is 402144424327. The reversal of 402144424321 is 123424441204.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 401480640625 + 663783696 = 633625^2 + 25764^2 .

It is a cyclic number.

It is not a de Polignac number, because 402144424321 - 27 = 402144424193 is a prime.

It is a super-2 number, since 2×4021444243212 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (402144424327) 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, 201072212160 + 201072212161.

It is an arithmetic number, because the mean of its divisors is an integer number (201072212161).

Almost surely, 2402144424321 is an apocalyptic number.

It is an amenable number.

402144424321 is a deficient number, since it is larger than the sum of its proper divisors (1).

402144424321 is an equidigital number, since it uses as much as digits as its factorization.

402144424321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 402144424321 its reverse (123424441204), we get a palindrome (525568865525).

The spelling of 402144424321 in words is "four hundred two billion, one hundred forty-four million, four hundred twenty-four thousand, three hundred twenty-one".