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14124325140 = 2232578468473
BaseRepresentation
bin11010010011110000…
…00001100100010100
31100110100102001121100
431021320001210110
5212411311401030
610253313150100
71010004532332
oct151170014424
940410361540
1014124325140
115a988a4592
1228a225b330
1314412bb653
1497dbdab52
15579ee0360
hex349e01914

14124325140 has 36 divisors (see below), whose sum is σ = 42843786804. Its totient is φ = 3766486656.

The previous prime is 14124325079. The next prime is 14124325223. The reversal of 14124325140 is 4152342141.

14124325140 is a `hidden beast` number, since 141 + 2 + 4 + 3 + 2 + 514 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6789430404 + 7334894736 = 82398^2 + 85644^2 .

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 39234057 + ... + 39234416.

It is an arithmetic number, because the mean of its divisors is an integer number (1190105189).

Almost surely, 214124325140 is an apocalyptic number.

14124325140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14124325140 is an abundant number, since it is smaller than the sum of its proper divisors (28719461664).

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

14124325140 is a wasteful number, since it uses less digits than its factorization.

14124325140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78468488 (or 78468483 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14124325140 its reverse (4152342141), we get a palindrome (18276667281).

The spelling of 14124325140 in words is "fourteen billion, one hundred twenty-four million, three hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 78468473 156936946 235405419 313873892 392342365 470810838 706216257 784684730 941621676 1177027095 1412432514 1569369460 2354054190 2824865028 3531081285 4708108380 7062162570 14124325140