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240006400465093 is a prime number
BaseRepresentation
bin110110100100100011011000…
…001111100101100011000101
31011110210101110201011101101121
4312210203120033211203011
5222424231102004340333
62210241230201553541
7101360614225416403
oct6644433017454305
91143711421141347
10240006400465093
116a523163121599
1222b02a21aa58b1
13a3bc6778975a2
14433a52c194473
151cb31b5b4a32d
hexda48d83e58c5

240006400465093 has 2 divisors, whose sum is σ = 240006400465094. Its totient is φ = 240006400465092.

The previous prime is 240006400465037. The next prime is 240006400465103. The reversal of 240006400465093 is 390564004600042.

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., 187021132771489 + 52985267693604 = 13675567^2 + 7279098^2 .

It is a cyclic number.

It is not a de Polignac number, because 240006400465093 - 241 = 237807377209541 is a prime.

It is a super-2 number, since 2×2400064004650932 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (240006400465393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120003200232546 + 120003200232547.

It is an arithmetic number, because the mean of its divisors is an integer number (120003200232547).

Almost surely, 2240006400465093 is an apocalyptic number.

It is an amenable number.

240006400465093 is a deficient number, since it is larger than the sum of its proper divisors (1).

240006400465093 is an equidigital number, since it uses as much as digits as its factorization.

240006400465093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 240006400465093 in words is "two hundred forty trillion, six billion, four hundred million, four hundred sixty-five thousand, ninety-three".