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14130774700 = 2252729368897
BaseRepresentation
bin11010010100100001…
…01000001010101100
31100110210112201201221
431022100220022230
5212414434242300
610254103313124
71010113413610
oct151220501254
940423481657
1014130774700
115aa14aa1a9
1228a444b7a4
131442739163
149809d9340
1557a86631a
hex34a4282ac

14130774700 has 72 divisors (see below), whose sum is σ = 35164436832. Its totient is φ = 4828231680.

The previous prime is 14130774649. The next prime is 14130774703. The reversal of 14130774700 is 747703141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14130774703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170652 + ... + 239548.

It is an arithmetic number, because the mean of its divisors is an integer number (488394956).

Almost surely, 214130774700 is an apocalyptic number.

14130774700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14130774700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17582218416).

14130774700 is an abundant number, since it is smaller than the sum of its proper divisors (21033662132).

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

14130774700 is a wasteful number, since it uses less digits than its factorization.

14130774700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69211 (or 69204 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 34.

The spelling of 14130774700 in words is "fourteen billion, one hundred thirty million, seven hundred seventy-four thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 293 350 586 700 1172 1465 2051 2930 4102 5860 7325 8204 10255 14650 20510 29300 41020 51275 68897 102550 137794 205100 275588 344485 482279 688970 964558 1377940 1722425 1929116 2411395 3444850 4822790 6889700 9645580 12056975 20186821 24113950 40373642 48227900 80747284 100934105 141307747 201868210 282615494 403736420 504670525 565230988 706538735 1009341050 1413077470 2018682100 2826154940 3532693675 7065387350 14130774700