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14130050445 = 3257713791667
BaseRepresentation
bin11010010100011011…
…10111010110001101
31100110202011221020200
431022031313112031
5212414243103240
610254040004113
71010104306230
oct151215672615
940422157220
1014130050445
115aa1055045
1228a4160639
1314425445c4
1498088b417
1557a771930
hex34a37758d

14130050445 has 96 divisors (see below), whose sum is σ = 28477163520. Its totient is φ = 6347859840.

The previous prime is 14130050423. The next prime is 14130050447. The reversal of 14130050445 is 54405003141.

It is a happy number.

14130050445 is a `hidden beast` number, since 141 + 30 + 0 + 50 + 445 = 666.

It is not a de Polignac number, because 14130050445 - 25 = 14130050413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130050447) 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 95 ways as a sum of consecutive naturals, for example, 8475502 + ... + 8477168.

It is an arithmetic number, because the mean of its divisors is an integer number (296637120).

Almost surely, 214130050445 is an apocalyptic number.

14130050445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14130050445 is an abundant number, since it is smaller than the sum of its proper divisors (14347113075).

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

14130050445 is a wasteful number, since it uses less digits than its factorization.

14130050445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 14130050445 its reverse (54405003141), we get a palindrome (68535053586).

The spelling of 14130050445 in words is "fourteen billion, one hundred thirty million, fifty thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 71 105 213 315 355 379 497 639 1065 1137 1491 1667 1895 2485 2653 3195 3411 4473 5001 5685 7455 7959 8335 11669 13265 15003 17055 22365 23877 25005 26909 35007 39795 58345 75015 80727 105021 118357 119385 134545 175035 188363 242181 355071 403635 525105 565089 591785 631793 828499 941815 1065213 1210905 1695267 1775355 1895379 2485497 2825445 3158965 4142495 4422551 5326065 5686137 7456491 8476335 9476895 12427485 13267653 22112755 28430685 37282455 39802959 44857303 66338265 134571909 199014795 224286515 314001121 403715727 672859545 942003363 1570005605 2018578635 2826010089 4710016815 14130050445