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2240413320337 is a prime number
BaseRepresentation
bin100000100110100011000…
…010100100010010010001
321221011220020220220212121
4200212203002210102101
5243201331302222322
64433122012454241
7320602350003313
oct40464302442221
97834806826777
102240413320337
11794176a03785
12302259a7a381
1313336845c33a
147a617dad7b3
153d42937dec7
hex209a30a4491

2240413320337 has 2 divisors, whose sum is σ = 2240413320338. Its totient is φ = 2240413320336.

The previous prime is 2240413320311. The next prime is 2240413320347. The reversal of 2240413320337 is 7330233140422.

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., 1224760542721 + 1015652777616 = 1106689^2 + 1007796^2 .

It is a cyclic number.

It is not a de Polignac number, because 2240413320337 - 219 = 2240412796049 is a prime.

It is not a weakly prime, because it can be changed into another prime (2240413320307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120206660168 + 1120206660169.

It is an arithmetic number, because the mean of its divisors is an integer number (1120206660169).

Almost surely, 22240413320337 is an apocalyptic number.

It is an amenable number.

2240413320337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2240413320337 is an equidigital number, since it uses as much as digits as its factorization.

2240413320337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72576, while the sum is 34.

Adding to 2240413320337 its reverse (7330233140422), we get a palindrome (9570646460759).

The spelling of 2240413320337 in words is "two trillion, two hundred forty billion, four hundred thirteen million, three hundred twenty thousand, three hundred thirty-seven".