Search a number
-
+
240271320040365 = 35795933203106751
BaseRepresentation
bin110110101000011010000110…
…101011100100001110101101
31011111201201021102002012012210
4312220122012223210032231
5222443101130412242430
62211003042015521033
7101416013203563225
oct6650320653441655
91144651242065183
10240271320040365
116a615549336539
1222b46236b29179
13a40b646923a13
1443492a0253085
151cba01d68e2b0
hexda8686ae43ad

240271320040365 has 64 divisors (see below), whose sum is σ = 390082261155840. Its totient is φ = 126268641408000.

The previous prime is 240271320040363. The next prime is 240271320040379. The reversal of 240271320040365 is 563040023172042.

240271320040365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 240271320040365 - 21 = 240271320040363 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240271320040363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2250710740 + ... + 2250817490.

It is an arithmetic number, because the mean of its divisors is an integer number (6095035330560).

Almost surely, 2240271320040365 is an apocalyptic number.

It is an amenable number.

240271320040365 is a deficient number, since it is larger than the sum of its proper divisors (149810941115475).

240271320040365 is a wasteful number, since it uses less digits than its factorization.

240271320040365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110634.

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 240271320040365 in words is "two hundred forty trillion, two hundred seventy-one billion, three hundred twenty million, forty thousand, three hundred sixty-five".

Divisors: 1 3 5 15 79 237 395 593 1185 1779 2965 3203 8895 9609 16015 46847 48045 106751 140541 234235 253037 320253 533755 702705 759111 1265185 1601265 1899379 3795555 5698137 8433329 9496895 25299987 28490685 42166645 63303343 126499935 150050941 189910029 316516715 341923453 450152823 750254705 949550145 1025770359 1709617265 2250764115 5000964097 5128851795 15002892291 25004820485 27011952787 75014461455 81035858361 135059763935 202760607629 405179291805 608281822887 1013803038145 3041409114435 16018088002691 48054264008073 80090440013455 240271320040365