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14121142144 = 27293804187
BaseRepresentation
bin11010010011010111…
…11000011110000000
31100110010102100100121
431021223320132000
5212410003022034
610253121030024
71006635504424
oct151153703600
940403370317
1014121142144
115a9702010a
1228a1185314
131440745915
1497d60cb84
15579ab21b4
hex349af8780

14121142144 has 32 divisors (see below), whose sum is σ = 29102038200. Its totient is φ = 6817101312.

The previous prime is 14121142129. The next prime is 14121142153. The reversal of 14121142144 is 44124112141.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1898382 + ... + 1905805.

Almost surely, 214121142144 is an apocalyptic number.

It is an amenable number.

14121142144 is an abundant number, since it is smaller than the sum of its proper divisors (14980896056).

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

14121142144 is an equidigital number, since it uses as much as digits as its factorization.

14121142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804230 (or 3804218 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

Adding to 14121142144 its reverse (44124112141), we get a palindrome (58245254285).

The spelling of 14121142144 in words is "fourteen billion, one hundred twenty-one million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 3804187 7608374 15216748 30433496 60866992 110321423 121733984 220642846 243467968 441285692 486935936 882571384 1765142768 3530285536 7060571072 14121142144