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14440505541 = 3711223247087
BaseRepresentation
bin11010111001011100…
…01010000011000101
31101021101100200120120
431130232022003011
5214033232134131
610344530052153
71020564162150
oct153456120305
941241320516
1014440505541
11614031a600
12297011a059
131491963147
149adbc2c97
15597b48496
hex35cb8a0c5

14440505541 has 48 divisors (see below), whose sum is σ = 25238556672. Its totient is φ = 7175377440.

The previous prime is 14440505507. The next prime is 14440505561. The reversal of 14440505541 is 14550504441.

It is not a de Polignac number, because 14440505541 - 26 = 14440505477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14440505561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65101 + ... + 181986.

It is an arithmetic number, because the mean of its divisors is an integer number (525803264).

Almost surely, 214440505541 is an apocalyptic number.

14440505541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14440505541 is a deficient number, since it is larger than the sum of its proper divisors (10798051131).

14440505541 is a wasteful number, since it uses less digits than its factorization.

14440505541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247142 (or 247131 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 14440505541 in words is "fourteen billion, four hundred forty million, five hundred five thousand, five hundred forty-one".

Divisors: 1 3 7 11 21 23 33 69 77 121 161 231 253 363 483 759 847 1771 2541 2783 5313 8349 19481 58443 247087 741261 1729609 2717957 5188827 5683001 8153871 17049003 19025699 29897527 39781007 57077097 62513011 89692581 119343021 187539033 209282689 437591077 627848067 687643121 1312773231 2062929363 4813501847 14440505541