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240340036365441 = 32107251261993287
BaseRepresentation
bin110110101001011010000110…
…011111100010110010000001
31011111222021122100222012010200
4312221122012133202302001
5223000212343302143231
62211054404413115413
7101423665102654335
oct6651320637426201
91144867570865120
10240340036365441
116a641700970641
1222b57613a88b69
13a414c7812abbc
14434c73c5977c5
151cbbbe1236be6
hexda96867e2c81

240340036365441 has 24 divisors (see below), whose sum is σ = 350404043356224. Its totient is φ = 158728453668960.

The previous prime is 240340036365389. The next prime is 240340036365449. The reversal of 240340036365441 is 144563630043042.

It is a happy number.

240340036365441 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 4 + 0 + 0 + 3 + 636 + 5 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 240340036365441 - 247 = 99602548010113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (240340036365449) 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 in 23 ways as a sum of consecutive naturals, for example, 241467700 + ... + 242460986.

It is an arithmetic number, because the mean of its divisors is an integer number (14600168473176).

Almost surely, 2240340036365441 is an apocalyptic number.

It is an amenable number.

240340036365441 is a deficient number, since it is larger than the sum of its proper divisors (110064006990783).

240340036365441 is a wasteful number, since it uses less digits than its factorization.

240340036365441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244661 (or 1244658 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 240340036365441 in words is "two hundred forty trillion, three hundred forty billion, thirty-six million, three hundred sixty-five thousand, four hundred forty-one".

Divisors: 1 3 9 107 321 963 251261 753783 993287 2261349 2979861 8939583 26884927 80654781 106281709 241964343 318845127 956535381 249574284907 748722854721 2246168564163 26704448485049 80113345455147 240340036365441