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240384418601 is a prime number
BaseRepresentation
bin1101111111100000000…
…1110010001100101001
3211222110210200201011212
43133320001302030221
512414301402343401
6302233040202505
723236643562515
oct3377001621451
9758423621155
10240384418601
1192a45812668
123a708309435
131988bc18b62
14b8c5759145
1563bda92dbb
hex37f8072329

240384418601 has 2 divisors, whose sum is σ = 240384418602. Its totient is φ = 240384418600.

The previous prime is 240384418583. The next prime is 240384418609. The reversal of 240384418601 is 106814483042.

240384418601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234547458601 + 5836960000 = 484301^2 + 76400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-240384418601 is a prime.

It is a super-2 number, since 2×2403844186012 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (240384418609) 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, 120192209300 + 120192209301.

It is an arithmetic number, because the mean of its divisors is an integer number (120192209301).

Almost surely, 2240384418601 is an apocalyptic number.

It is an amenable number.

240384418601 is a deficient number, since it is larger than the sum of its proper divisors (1).

240384418601 is an equidigital number, since it uses as much as digits as its factorization.

240384418601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 240384418601 in words is "two hundred forty billion, three hundred eighty-four million, four hundred eighteen thousand, six hundred one".