Search a number
-
+
14011015140 = 2232577838973
BaseRepresentation
bin11010000110001111…
…10001111111100100
31100011110012022111200
431003013301333210
5212143304441030
610234144402500
71004130443433
oct150307617744
940143168450
1014011015140
115a3a942061
122870316430
131423997805
1496cb4311a
155700abd60
hex3431f1fe4

14011015140 has 36 divisors (see below), whose sum is σ = 42500079804. Its totient is φ = 3736270656.

The previous prime is 14011015127. The next prime is 14011015159. The reversal of 14011015140 is 4151011041.

14011015140 is a `hidden beast` number, since 1 + 40 + 110 + 1 + 514 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2258720676 + 11752294464 = 47526^2 + 108408^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 38919307 + ... + 38919666.

Almost surely, 214011015140 is an apocalyptic number.

14011015140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14011015140 is an abundant number, since it is smaller than the sum of its proper divisors (28489064664).

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

14011015140 is a wasteful number, since it uses less digits than its factorization.

14011015140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77838988 (or 77838983 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 14011015140 its reverse (4151011041), we get a palindrome (18162026181).

The spelling of 14011015140 in words is "fourteen billion, eleven million, fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 77838973 155677946 233516919 311355892 389194865 467033838 700550757 778389730 934067676 1167584595 1401101514 1556779460 2335169190 2802203028 3502753785 4670338380 7005507570 14011015140