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14148442148450 = 2521753314060869
BaseRepresentation
bin1100110111100011000011…
…0111100100111001100010
31212002120121021000102001112
43031320300313210321202
53323302002142222300
650031412105303322
72660122404655421
oct315706067447142
955076537012045
1014148442148450
11456535881a915
121706090794b42
137b826683704c
1436cb06d7b2b8
15198077d56e35
hexcde30de4e62

14148442148450 has 48 divisors (see below), whose sum is σ = 28389846404520. Its totient is φ = 5225972843520.

The previous prime is 14148442148417. The next prime is 14148442148507. The reversal of 14148442148450 is 5484124484141.

It can be written as a sum of positive squares in 12 ways, for example, as 798969610201 + 13349472538249 = 893851^2 + 3653693^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156985385 + ... + 157075484.

Almost surely, 214148442148450 is an apocalyptic number.

14148442148450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14148442148450 is an abundant number, since it is smaller than the sum of its proper divisors (14241404256070).

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

14148442148450 is a wasteful number, since it uses less digits than its factorization.

14148442148450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314060951 (or 314060946 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 50.

The spelling of 14148442148450 in words is "fourteen trillion, one hundred forty-eight billion, four hundred forty-two million, one hundred forty-eight thousand, four hundred fifty".

Divisors: 1 2 5 10 17 25 34 50 53 85 106 170 265 425 530 850 901 1325 1802 2650 4505 9010 22525 45050 314060869 628121738 1570304345 3140608690 5339034773 7851521725 10678069546 15703043450 16645226057 26695173865 33290452114 53390347730 83226130285 133475869325 166452260570 266951738650 282968842969 416130651425 565937685938 832261302850 1414844214845 2829688429690 7074221074225 14148442148450