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14140041104 = 247397487653
BaseRepresentation
bin11010010101100111…
…11110011110010000
31100111102222111212002
431022303332132100
5212424322303404
610255034053132
71010255236430
oct151263763620
940442874762
1014140041104
115aa6759192
1228a757a1a8
131444631b37
14981d2c2c0
1557b596c1e
hex34acfe790

14140041104 has 80 divisors (see below), whose sum is σ = 31501579008. Its totient is φ = 6023102976.

The previous prime is 14140041079. The next prime is 14140041109. The reversal of 14140041104 is 40114004141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14140041109) 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 in 15 ways as a sum of consecutive naturals, for example, 21653642 + ... + 21654294.

Almost surely, 214140041104 is an apocalyptic number.

14140041104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14140041104 is an abundant number, since it is smaller than the sum of its proper divisors (17361537904).

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

14140041104 is a wasteful number, since it uses less digits than its factorization.

14140041104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 14140041104 its reverse (40114004141), we get a palindrome (54254045245).

The spelling of 14140041104 in words is "fourteen billion, one hundred forty million, forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 397 487 653 794 974 1306 1588 1948 2612 2779 3176 3409 3896 4571 5224 5558 6352 6818 7792 9142 10448 11116 13636 18284 22232 27272 36568 44464 54544 73136 193339 259241 318011 386678 518482 636022 773356 1036964 1272044 1353373 1546712 1814687 2073928 2226077 2544088 2706746 3093424 3629374 4147856 4452154 5088176 5413492 7258748 8904308 10826984 14517496 17808616 21653968 29034992 35617232 126250367 252500734 505001468 883752569 1010002936 1767505138 2020005872 3535010276 7070020552 14140041104