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14540540346 = 23210125731121
BaseRepresentation
bin11011000101010111…
…10000100110111010
31101112100120222112100
431202223300212322
5214234334242341
610402502124230
71023220360623
oct154253604672
941470528470
1014540540346
1161918351a2
122999720676
1314a95b9737
149bd1c2a4a
155a18083b6
hex362af09ba

14540540346 has 48 divisors (see below), whose sum is σ = 31941255528. Its totient is φ = 4780032000.

The previous prime is 14540540341. The next prime is 14540540369. The reversal of 14540540346 is 64304504541.

14540540346 is a `hidden beast` number, since 1 + 45 + 40 + 540 + 34 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13678472025 + 862068321 = 116955^2 + 29361^2 .

It is a super-2 number, since 2×145405403462 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14540540346.

It is not an unprimeable number, because it can be changed into a prime (14540540341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451666 + ... + 482786.

Almost surely, 214540540346 is an apocalyptic number.

14540540346 is an abundant number, since it is smaller than the sum of its proper divisors (17400715182).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14540540346 is a wasteful number, since it uses less digits than its factorization.

14540540346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31487 (or 31484 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 14540540346 in words is "fourteen billion, five hundred forty million, five hundred forty thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 101 202 257 303 514 606 771 909 1542 1818 2313 4626 25957 31121 51914 62242 77871 93363 155742 186726 233613 280089 467226 560178 3143221 6286442 7998097 9429663 15996194 18859326 23994291 28288989 47988582 56577978 71982873 143965746 807807797 1615615594 2423423391 4846846782 7270270173 14540540346