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14142050130 = 2351323118969
BaseRepresentation
bin11010010101110111…
…01000111101010010
31100111120202120201110
431022323220331102
5212430331101010
610255145114150
71010311304565
oct151273507522
940446676643
1014142050130
115aa790063a
1228a8188956
131444b86400
149822d24dc
1557b842120
hex34aee8f52

14142050130 has 96 divisors (see below), whose sum is σ = 36874880640. Its totient is φ = 3469539840.

The previous prime is 14142050093. The next prime is 14142050149. The reversal of 14142050130 is 3105024141.

It is a junction number, because it is equal to n+sod(n) for n = 14142050097 and 14142050106.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1572286 + ... + 1581254.

It is an arithmetic number, because the mean of its divisors is an integer number (384113340).

Almost surely, 214142050130 is an apocalyptic number.

14142050130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14142050130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18437440320).

14142050130 is an abundant number, since it is smaller than the sum of its proper divisors (22732830510).

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

14142050130 is a wasteful number, since it uses less digits than its factorization.

14142050130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9316 (or 9303 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 14142050130 its reverse (3105024141), we get a palindrome (17247074271).

The spelling of 14142050130 in words is "fourteen billion, one hundred forty-two million, fifty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 311 338 390 507 622 845 933 1014 1555 1690 1866 2535 3110 4043 4665 5070 8086 8969 9330 12129 17938 20215 24258 26907 40430 44845 52559 53814 60645 89690 105118 116597 121290 134535 157677 233194 262795 269070 315354 349791 525590 582985 699582 788385 1165970 1515761 1576770 1748955 2789359 3031522 3497910 4547283 5578718 7578805 8368077 9094566 13946795 15157610 16736154 22736415 27893590 36261667 41840385 45472830 72523334 83680770 108785001 181308335 217570002 362616670 471401671 543925005 942803342 1087850010 1414205013 2357008355 2828410026 4714016710 7071025065 14142050130