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14005145124 = 2232465783537
BaseRepresentation
bin11010000101100010…
…11000111000100100
31100011001011002100200
431002301120320210
5212140304120444
610233414510500
71004026524615
oct150261307044
940131132320
1014005145124
115a375a2903
12286a365430
1314226c0a29
1496c055c0c
1556e7ec969
hex342c58e24

14005145124 has 36 divisors (see below), whose sum is σ = 35409920364. Its totient is φ = 4667323392.

The previous prime is 14005145111. The next prime is 14005145137. The reversal of 14005145124 is 42154150041.

14005145124 is a `hidden beast` number, since 140 + 0 + 5 + 1 + 4 + 512 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14005145111) and next prime (14005145137).

It can be written as a sum of positive squares in 2 ways, for example, as 9248284224 + 4756860900 = 96168^2 + 68970^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×140051451242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125884 + ... + 209420.

It is an arithmetic number, because the mean of its divisors is an integer number (983608899).

Almost surely, 214005145124 is an apocalyptic number.

It is an amenable number.

14005145124 is an abundant number, since it is smaller than the sum of its proper divisors (21404775240).

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

14005145124 is a wasteful number, since it uses less digits than its factorization.

14005145124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88204 (or 88199 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 14005145124 its reverse (42154150041), we get a palindrome (56159295165).

The spelling of 14005145124 in words is "fourteen billion, five million, one hundred forty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4657 9314 13971 18628 27942 41913 55884 83537 83826 167074 167652 250611 334148 501222 751833 1002444 1503666 3007332 389031809 778063618 1167095427 1556127236 2334190854 3501286281 4668381708 7002572562 14005145124