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14032434141 = 3311238919777
BaseRepresentation
bin11010001000110010…
…11111001111011101
31100012221111111212000
431010121133033131
5212214300343031
610240231432513
71004510502465
oct150431371735
940187444760
1014032434141
115a50a41510
122877525739
131428256a8b
1497191aba5
15571ddd3e6
hex34465f3dd

14032434141 has 32 divisors (see below), whose sum is σ = 22689321600. Its totient is φ = 8500515840.

The previous prime is 14032434133. The next prime is 14032434167. The reversal of 14032434141 is 14143423041.

14032434141 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 243 + 414 + 1 = 666.

It is not a de Polignac number, because 14032434141 - 23 = 14032434133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14032434121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699645 + ... + 719421.

It is an arithmetic number, because the mean of its divisors is an integer number (709041300).

Almost surely, 214032434141 is an apocalyptic number.

14032434141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14032434141 is a deficient number, since it is larger than the sum of its proper divisors (8656887459).

14032434141 is a wasteful number, since it uses less digits than its factorization.

14032434141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22186 (or 22180 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14032434141 its reverse (14143423041), we get a palindrome (28175857182).

The spelling of 14032434141 in words is "fourteen billion, thirty-two million, four hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 2389 7167 19777 21501 26279 59331 64503 78837 177993 217547 236511 533979 652641 709533 1957923 5873769 47247253 141741759 425225277 519719783 1275675831 1559159349 4677478047 14032434141